---
_id: '53319'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>The Neumann problem
    for (0.1)$$ \\begin{align}&amp; V_t = \\Delta V-aV+f(x,t) \\end{align}$$is considered
    in bounded domains $\\Omega \\subset {\\mathbb {R}}^n$ with smooth boundary, where
    $n\\ge 1$ and $a\\in {\\mathbb {R}}$. By means of a variational approach, a statement
    on boundedness of the quantities $$ \\begin{eqnarray*} \\sup_{t\\in (0,T)} \\int_\\Omega
    \\big|\\nabla V(\\cdot,t)\\big|^p L^{\\frac{n+p}{n+2}} \\Big( \\big|\\nabla V(\\cdot,t)\\big|
    \\Big) \\end{eqnarray*}$$in dependence on the expressions (0.2)$$ \\begin{align}&amp;
    \\sup_{t\\in (0,T-\\tau)} \\int_t^{t+\\tau} \\int_\\Omega |f|^{\\frac{(n+2)p}{n+p}}
    L\\big( |f|\\big) \\end{align}$$is derived for $p\\ge 2$, $\\tau&amp;gt;0$, and
    $T\\ge 2\\tau $, provided that $L\\in C^0([0,\\infty ))$ is positive, strictly
    increasing, unbounded, and slowly growing in the sense that $\\limsup _{s\\to
    \\infty } \\frac {L(s^{\\lambda _0})}{L(s)} &amp;lt;\\infty $ for some $\\lambda
    _0&amp;gt;1$. In the particular case when $p=n\\ge 2$, an additional condition
    on growth of $L$, particularly satisfied by $L(\\xi ):=\\ln ^\\alpha (\\xi +b)$
    whenever $b&amp;gt;0$ and $\\alpha&amp;gt;\\frac {(n+2)(n-1)}{2n}$, is identified
    as sufficient to ensure that as a consequence of the above, bounds for theintegrals
    in (0.2) even imply estimates for the spatio-temporal modulus of continuity of
    solutions to (0.1). A subsequent application to the Keller–Segel system $$ \\begin{eqnarray*}
    \\left\\{ \\begin{array}{l} u_t = \\nabla \\cdot \\big( D(v)\\nabla u\\big) -
    \\nabla \\cdot \\big( uS(v)\\nabla v\\big) + ru - \\mu u^2, \\\\[1mm] v_t = \\Delta
    v-v+u, \\end{array} \\right. \\end{eqnarray*}$$shows that when $n=2$, $r\\in {\\mathbb
    {R}}$, $0&amp;lt;D\\in C^2([0,\\infty ))$, and $S\\in C^2([0,\\infty )) \\cap
    W^{1,\\infty }((0,\\infty ))$ and thus especially in the presence of arbitrarily
    strong diffusion degeneracies implied by rapid decay of $D$, any choice of $\\mu&amp;gt;0$
    excludes blowup in the sense that for all suitably regular nonnegative initial
    data, an associated initial-boundary value problem admits a global bounded classical
    solution.</jats:p>"
author:
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Winkler M. A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application
    to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion
    System. <i>International Mathematics Research Notices</i>. 2022;2023(19):16336-16393.
    doi:<a href="https://doi.org/10.1093/imrn/rnac286">10.1093/imrn/rnac286</a>
  apa: Winkler, M. (2022). A Result on Parabolic Gradient Regularity in Orlicz Spaces
    and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type
    Cross-Diffusion System. <i>International Mathematics Research Notices</i>, <i>2023</i>(19),
    16336–16393. <a href="https://doi.org/10.1093/imrn/rnac286">https://doi.org/10.1093/imrn/rnac286</a>
  bibtex: '@article{Winkler_2022, title={A Result on Parabolic Gradient Regularity
    in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a
    Keller–Segel-Type Cross-Diffusion System}, volume={2023}, DOI={<a href="https://doi.org/10.1093/imrn/rnac286">10.1093/imrn/rnac286</a>},
    number={19}, journal={International Mathematics Research Notices}, publisher={Oxford
    University Press (OUP)}, author={Winkler, Michael}, year={2022}, pages={16336–16393}
    }'
  chicago: 'Winkler, Michael. “A Result on Parabolic Gradient Regularity in Orlicz
    Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type
    Cross-Diffusion System.” <i>International Mathematics Research Notices</i> 2023,
    no. 19 (2022): 16336–93. <a href="https://doi.org/10.1093/imrn/rnac286">https://doi.org/10.1093/imrn/rnac286</a>.'
  ieee: 'M. Winkler, “A Result on Parabolic Gradient Regularity in Orlicz Spaces and
    Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion
    System,” <i>International Mathematics Research Notices</i>, vol. 2023, no. 19,
    pp. 16336–16393, 2022, doi: <a href="https://doi.org/10.1093/imrn/rnac286">10.1093/imrn/rnac286</a>.'
  mla: Winkler, Michael. “A Result on Parabolic Gradient Regularity in Orlicz Spaces
    and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type
    Cross-Diffusion System.” <i>International Mathematics Research Notices</i>, vol.
    2023, no. 19, Oxford University Press (OUP), 2022, pp. 16336–93, doi:<a href="https://doi.org/10.1093/imrn/rnac286">10.1093/imrn/rnac286</a>.
  short: M. Winkler, International Mathematics Research Notices 2023 (2022) 16336–16393.
date_created: 2024-04-07T12:33:44Z
date_updated: 2024-04-07T12:36:06Z
doi: 10.1093/imrn/rnac286
intvolume: '      2023'
issue: '19'
keyword:
- General Mathematics
language:
- iso: eng
page: 16336-16393
publication: International Mathematics Research Notices
publication_identifier:
  issn:
  - 1073-7928
  - 1687-0247
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application
  to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion
  System
type: journal_article
user_id: '31496'
volume: 2023
year: '2022'
...
---
_id: '53321'
abstract:
- lang: eng
  text: '<jats:p> The chemotaxis system [Formula: see text] is considered in a ball
    [Formula: see text], [Formula: see text], where the positive function [Formula:
    see text] reflects suitably weak diffusion by satisfying [Formula: see text] for
    some [Formula: see text]. It is shown that whenever [Formula: see text] is positive
    and satisfies [Formula: see text] as [Formula: see text], one can find a suitably
    regular nonlinearity [Formula: see text] with the property that at each sufficiently
    large mass level [Formula: see text] there exists a globally defined radially
    symmetric classical solution to a Neumann-type boundary value problem for (⋆)
    which satisfies [Formula: see text] </jats:p>'
author:
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Winkler M. Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems.
    <i>Communications in Contemporary Mathematics</i>. 2022;25(10). doi:<a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>
  apa: Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel
    systems. <i>Communications in Contemporary Mathematics</i>, <i>25</i>(10). <a
    href="https://doi.org/10.1142/s0219199722500626">https://doi.org/10.1142/s0219199722500626</a>
  bibtex: '@article{Winkler_2022, title={Arbitrarily fast grow-up rates in quasilinear
    Keller–Segel systems}, volume={25}, DOI={<a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>},
    number={10}, journal={Communications in Contemporary Mathematics}, publisher={World
    Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }'
  chicago: Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel
    Systems.” <i>Communications in Contemporary Mathematics</i> 25, no. 10 (2022).
    <a href="https://doi.org/10.1142/s0219199722500626">https://doi.org/10.1142/s0219199722500626</a>.
  ieee: 'M. Winkler, “Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems,”
    <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, 2022, doi:
    <a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>.'
  mla: Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel
    Systems.” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10,
    World Scientific Pub Co Pte Ltd, 2022, doi:<a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>.
  short: M. Winkler, Communications in Contemporary Mathematics 25 (2022).
date_created: 2024-04-07T12:35:09Z
date_updated: 2024-04-07T12:35:53Z
doi: 10.1142/s0219199722500626
intvolume: '        25'
issue: '10'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
publication: Communications in Contemporary Mathematics
publication_identifier:
  issn:
  - 0219-1997
  - 1793-6683
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
status: public
title: Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems
type: journal_article
user_id: '31496'
volume: 25
year: '2022'
...
---
_id: '53323'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>In a ball <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Omega
    =B_R(0)\\subset \\mathbb {R}^n$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mrow>\r\n                  <mml:mi>Ω</mml:mi>\r\n                  <mml:mo>=</mml:mo>\r\n
    \                 <mml:msub>\r\n                    <mml:mi>B</mml:mi>\r\n                    <mml:mi>R</mml:mi>\r\n
    \                 </mml:msub>\r\n                  <mml:mrow>\r\n                    <mml:mo>(</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                    <mml:mo>)</mml:mo>\r\n
    \                 </mml:mrow>\r\n                  <mml:mo>⊂</mml:mo>\r\n                  <mml:msup>\r\n
    \                   <mml:mrow>\r\n                      <mml:mi>R</mml:mi>\r\n
    \                   </mml:mrow>\r\n                    <mml:mi>n</mml:mi>\r\n
    \                 </mml:msup>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>,
    <jats:inline-formula><jats:alternatives><jats:tex-math>$$n\\ge 2$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n
    \                 <mml:mi>n</mml:mi>\r\n                  <mml:mo>≥</mml:mo>\r\n
    \                 <mml:mn>2</mml:mn>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>,
    the chemotaxis system <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    \\left\\{ \\begin{array}{l}u_t = \\nabla \\cdot \\big ( D(u) \\nabla u \\big )
    - \\nabla \\cdot \\big ( uS(u)\\nabla v\\big ), \\\\ 0 = \\Delta v - \\mu + u,
    \\qquad \\mu =\\frac{1}{|\\Omega |} \\int _\\Omega u, \\end{array} \\right. \\qquad
    \\qquad (\\star ) \\end{aligned}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mrow>\r\n                  <mml:mtable>\r\n                    <mml:mtr>\r\n
    \                     <mml:mtd>\r\n                        <mml:mrow>\r\n                          <mml:mfenced>\r\n
    \                           <mml:mrow>\r\n                              <mml:mtable>\r\n
    \                               <mml:mtr>\r\n                                  <mml:mtd>\r\n
    \                                   <mml:mrow>\r\n                                      <mml:msub>\r\n
    \                                       <mml:mi>u</mml:mi>\r\n                                        <mml:mi>t</mml:mi>\r\n
    \                                     </mml:msub>\r\n                                      <mml:mo>=</mml:mo>\r\n
    \                                     <mml:mi>∇</mml:mi>\r\n                                      <mml:mo>·</mml:mo>\r\n
    \                                     <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n
    \                                     </mml:mrow>\r\n                                      <mml:mi>D</mml:mi>\r\n
    \                                     <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n
    \                                       <mml:mi>u</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n
    \                                     </mml:mrow>\r\n                                      <mml:mi>∇</mml:mi>\r\n
    \                                     <mml:mi>u</mml:mi>\r\n                                      <mml:mrow>\r\n
    \                                       <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n
    \                                     <mml:mo>-</mml:mo>\r\n                                      <mml:mi>∇</mml:mi>\r\n
    \                                     <mml:mo>·</mml:mo>\r\n                                      <mml:mrow>\r\n
    \                                       <mml:mo>(</mml:mo>\r\n                                      </mml:mrow>\r\n
    \                                     <mml:mi>u</mml:mi>\r\n                                      <mml:mi>S</mml:mi>\r\n
    \                                     <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n
    \                                       <mml:mi>u</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n
    \                                     </mml:mrow>\r\n                                      <mml:mi>∇</mml:mi>\r\n
    \                                     <mml:mi>v</mml:mi>\r\n                                      <mml:mrow>\r\n
    \                                       <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n
    \                                     <mml:mo>,</mml:mo>\r\n                                    </mml:mrow>\r\n
    \                                 </mml:mtd>\r\n                                </mml:mtr>\r\n
    \                               <mml:mtr>\r\n                                  <mml:mtd>\r\n
    \                                   <mml:mrow>\r\n                                      <mml:mrow
    />\r\n                                      <mml:mn>0</mml:mn>\r\n                                      <mml:mo>=</mml:mo>\r\n
    \                                     <mml:mi>Δ</mml:mi>\r\n                                      <mml:mi>v</mml:mi>\r\n
    \                                     <mml:mo>-</mml:mo>\r\n                                      <mml:mi>μ</mml:mi>\r\n
    \                                     <mml:mo>+</mml:mo>\r\n                                      <mml:mi>u</mml:mi>\r\n
    \                                     <mml:mo>,</mml:mo>\r\n                                      <mml:mspace
    />\r\n                                      <mml:mi>μ</mml:mi>\r\n                                      <mml:mo>=</mml:mo>\r\n
    \                                     <mml:mfrac>\r\n                                        <mml:mn>1</mml:mn>\r\n
    \                                       <mml:mrow>\r\n                                          <mml:mo>|</mml:mo>\r\n
    \                                         <mml:mi>Ω</mml:mi>\r\n                                          <mml:mo>|</mml:mo>\r\n
    \                                       </mml:mrow>\r\n                                      </mml:mfrac>\r\n
    \                                     <mml:msub>\r\n                                        <mml:mo>∫</mml:mo>\r\n
    \                                       <mml:mi>Ω</mml:mi>\r\n                                      </mml:msub>\r\n
    \                                     <mml:mi>u</mml:mi>\r\n                                      <mml:mo>,</mml:mo>\r\n
    \                                   </mml:mrow>\r\n                                  </mml:mtd>\r\n
    \                               </mml:mtr>\r\n                              </mml:mtable>\r\n
    \                           </mml:mrow>\r\n                          </mml:mfenced>\r\n
    \                         <mml:mspace />\r\n                          <mml:mspace
    />\r\n                          <mml:mrow>\r\n                            <mml:mo>(</mml:mo>\r\n
    \                           <mml:mo>⋆</mml:mo>\r\n                            <mml:mo>)</mml:mo>\r\n
    \                         </mml:mrow>\r\n                        </mml:mrow>\r\n
    \                     </mml:mtd>\r\n                    </mml:mtr>\r\n                  </mml:mtable>\r\n
    \               </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:disp-formula>is
    considered under no-flux boundary conditions, with a focus on nonlinearities <jats:inline-formula><jats:alternatives><jats:tex-math>$$S\\in
    C^2([0,\\infty ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mrow>\r\n                  <mml:mi>S</mml:mi>\r\n                  <mml:mo>∈</mml:mo>\r\n
    \                 <mml:msup>\r\n                    <mml:mi>C</mml:mi>\r\n                    <mml:mn>2</mml:mn>\r\n
    \                 </mml:msup>\r\n                  <mml:mrow>\r\n                    <mml:mo>(</mml:mo>\r\n
    \                   <mml:mrow>\r\n                      <mml:mo>[</mml:mo>\r\n
    \                     <mml:mn>0</mml:mn>\r\n                      <mml:mo>,</mml:mo>\r\n
    \                     <mml:mi>∞</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n
    \                   </mml:mrow>\r\n                    <mml:mo>)</mml:mo>\r\n
    \                 </mml:mrow>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>
    which exhibit super-algebraically fast decay in the sense that with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$K_S&gt;0,
    \\beta \\in [0,1)$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mrow>\r\n                  <mml:msub>\r\n                    <mml:mi>K</mml:mi>\r\n
    \                   <mml:mi>S</mml:mi>\r\n                  </mml:msub>\r\n                  <mml:mo>&gt;</mml:mo>\r\n
    \                 <mml:mn>0</mml:mn>\r\n                  <mml:mo>,</mml:mo>\r\n
    \                 <mml:mi>β</mml:mi>\r\n                  <mml:mo>∈</mml:mo>\r\n
    \                 <mml:mrow>\r\n                    <mml:mo>[</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n
    \                   <mml:mo>,</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n
    \                   <mml:mo>)</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:mrow>\r\n
    \             </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\xi
    _0&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mrow>\r\n                  <mml:msub>\r\n                    <mml:mi>ξ</mml:mi>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:msub>\r\n                  <mml:mo>&gt;</mml:mo>\r\n
    \                 <mml:mn>0</mml:mn>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>,
    <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} S(\\xi
    )&gt;0 \\quad \\text{ and } \\quad S'(\\xi ) \\le -K_S\\xi ^{-\\beta } S(\\xi
    ) \\qquad \\text{ for } \\text{ all } \\xi \\ge \\xi _0. \\end{aligned}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n
    \                 <mml:mtable>\r\n                    <mml:mtr>\r\n                      <mml:mtd>\r\n
    \                       <mml:mrow>\r\n                          <mml:mi>S</mml:mi>\r\n
    \                         <mml:mrow>\r\n                            <mml:mo>(</mml:mo>\r\n
    \                           <mml:mi>ξ</mml:mi>\r\n                            <mml:mo>)</mml:mo>\r\n
    \                         </mml:mrow>\r\n                          <mml:mo>&gt;</mml:mo>\r\n
    \                         <mml:mn>0</mml:mn>\r\n                          <mml:mspace
    />\r\n                          <mml:mspace />\r\n                          <mml:mtext>and</mml:mtext>\r\n
    \                         <mml:mspace />\r\n                          <mml:mspace
    />\r\n                          <mml:msup>\r\n                            <mml:mi>S</mml:mi>\r\n
    \                           <mml:mo>′</mml:mo>\r\n                          </mml:msup>\r\n
    \                         <mml:mrow>\r\n                            <mml:mo>(</mml:mo>\r\n
    \                           <mml:mi>ξ</mml:mi>\r\n                            <mml:mo>)</mml:mo>\r\n
    \                         </mml:mrow>\r\n                          <mml:mo>≤</mml:mo>\r\n
    \                         <mml:mo>-</mml:mo>\r\n                          <mml:msub>\r\n
    \                           <mml:mi>K</mml:mi>\r\n                            <mml:mi>S</mml:mi>\r\n
    \                         </mml:msub>\r\n                          <mml:msup>\r\n
    \                           <mml:mi>ξ</mml:mi>\r\n                            <mml:mrow>\r\n
    \                             <mml:mo>-</mml:mo>\r\n                              <mml:mi>β</mml:mi>\r\n
    \                           </mml:mrow>\r\n                          </mml:msup>\r\n
    \                         <mml:mi>S</mml:mi>\r\n                          <mml:mrow>\r\n
    \                           <mml:mo>(</mml:mo>\r\n                            <mml:mi>ξ</mml:mi>\r\n
    \                           <mml:mo>)</mml:mo>\r\n                          </mml:mrow>\r\n
    \                         <mml:mspace />\r\n                          <mml:mspace
    />\r\n                          <mml:mtext>for</mml:mtext>\r\n                          <mml:mspace
    />\r\n                          <mml:mspace />\r\n                          <mml:mtext>all</mml:mtext>\r\n
    \                         <mml:mspace />\r\n                          <mml:mi>ξ</mml:mi>\r\n
    \                         <mml:mo>≥</mml:mo>\r\n                          <mml:msub>\r\n
    \                           <mml:mi>ξ</mml:mi>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                         </mml:msub>\r\n                          <mml:mo>.</mml:mo>\r\n
    \                       </mml:mrow>\r\n                      </mml:mtd>\r\n                    </mml:mtr>\r\n
    \                 </mml:mtable>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:disp-formula>It
    is, inter alia, shown that if furthermore <jats:inline-formula><jats:alternatives><jats:tex-math>$$D\\in
    C^2((0,\\infty ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mrow>\r\n                  <mml:mi>D</mml:mi>\r\n                  <mml:mo>∈</mml:mo>\r\n
    \                 <mml:msup>\r\n                    <mml:mi>C</mml:mi>\r\n                    <mml:mn>2</mml:mn>\r\n
    \                 </mml:msup>\r\n                  <mml:mrow>\r\n                    <mml:mo>(</mml:mo>\r\n
    \                   <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n
    \                     <mml:mn>0</mml:mn>\r\n                      <mml:mo>,</mml:mo>\r\n
    \                     <mml:mi>∞</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n
    \                   </mml:mrow>\r\n                    <mml:mo>)</mml:mo>\r\n
    \                 </mml:mrow>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>
    is positive and suitably small in relation to <jats:italic>S</jats:italic> by
    satisfying <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    \\frac{\\xi S(\\xi )}{D(\\xi )} \\ge K_{SD}\\xi ^\\lambda \\qquad \\text{ for
    } \\text{ all } \\xi \\ge \\xi _0 \\end{aligned}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mrow>\r\n                  <mml:mtable>\r\n                    <mml:mtr>\r\n
    \                     <mml:mtd>\r\n                        <mml:mrow>\r\n                          <mml:mfrac>\r\n
    \                           <mml:mrow>\r\n                              <mml:mi>ξ</mml:mi>\r\n
    \                             <mml:mi>S</mml:mi>\r\n                              <mml:mo>(</mml:mo>\r\n
    \                             <mml:mi>ξ</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n
    \                           </mml:mrow>\r\n                            <mml:mrow>\r\n
    \                             <mml:mi>D</mml:mi>\r\n                              <mml:mo>(</mml:mo>\r\n
    \                             <mml:mi>ξ</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n
    \                           </mml:mrow>\r\n                          </mml:mfrac>\r\n
    \                         <mml:mo>≥</mml:mo>\r\n                          <mml:msub>\r\n
    \                           <mml:mi>K</mml:mi>\r\n                            <mml:mrow>\r\n
    \                             <mml:mi>SD</mml:mi>\r\n                            </mml:mrow>\r\n
    \                         </mml:msub>\r\n                          <mml:msup>\r\n
    \                           <mml:mi>ξ</mml:mi>\r\n                            <mml:mi>λ</mml:mi>\r\n
    \                         </mml:msup>\r\n                          <mml:mspace
    />\r\n                          <mml:mspace />\r\n                          <mml:mtext>for</mml:mtext>\r\n
    \                         <mml:mspace />\r\n                          <mml:mspace
    />\r\n                          <mml:mtext>all</mml:mtext>\r\n                          <mml:mspace
    />\r\n                          <mml:mi>ξ</mml:mi>\r\n                          <mml:mo>≥</mml:mo>\r\n
    \                         <mml:msub>\r\n                            <mml:mi>ξ</mml:mi>\r\n
    \                           <mml:mn>0</mml:mn>\r\n                          </mml:msub>\r\n
    \                       </mml:mrow>\r\n                      </mml:mtd>\r\n                    </mml:mtr>\r\n
    \                 </mml:mtable>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:disp-formula>with
    some <jats:inline-formula><jats:alternatives><jats:tex-math>$$K_{SD}&gt;0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n
    \                 <mml:msub>\r\n                    <mml:mi>K</mml:mi>\r\n                    <mml:mrow>\r\n
    \                     <mml:mi>SD</mml:mi>\r\n                    </mml:mrow>\r\n
    \                 </mml:msub>\r\n                  <mml:mo>&gt;</mml:mo>\r\n                  <mml:mn>0</mml:mn>\r\n
    \               </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>
    and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\lambda &gt;\\frac{2}{n}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n
    \                 <mml:mi>λ</mml:mi>\r\n                  <mml:mo>&gt;</mml:mo>\r\n
    \                 <mml:mfrac>\r\n                    <mml:mn>2</mml:mn>\r\n                    <mml:mi>n</mml:mi>\r\n
    \                 </mml:mfrac>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>,
    then throughout a considerably large set of initial data, (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\star
    $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mo>⋆</mml:mo>\r\n              </mml:math></jats:alternatives></jats:inline-formula>)
    admits global classical solutions (<jats:italic>u</jats:italic>, <jats:italic>v</jats:italic>)
    fulfilling <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    \\frac{z(t)}{C} \\le \\Vert u(\\cdot ,t)\\Vert _{L^\\infty (\\Omega )} \\le Cz(t)
    \\qquad \\text{ for } \\text{ all } t&gt;0, \\end{aligned}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n
    \                 <mml:mtable>\r\n                    <mml:mtr>\r\n                      <mml:mtd>\r\n
    \                       <mml:mrow>\r\n                          <mml:mfrac>\r\n
    \                           <mml:mrow>\r\n                              <mml:mi>z</mml:mi>\r\n
    \                             <mml:mo>(</mml:mo>\r\n                              <mml:mi>t</mml:mi>\r\n
    \                             <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n
    \                           <mml:mi>C</mml:mi>\r\n                          </mml:mfrac>\r\n
    \                         <mml:mo>≤</mml:mo>\r\n                          <mml:msub>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>‖</mml:mo>\r\n
    \                             <mml:mi>u</mml:mi>\r\n                              <mml:mrow>\r\n
    \                               <mml:mo>(</mml:mo>\r\n                                <mml:mo>·</mml:mo>\r\n
    \                               <mml:mo>,</mml:mo>\r\n                                <mml:mi>t</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                             <mml:mo>‖</mml:mo>\r\n                            </mml:mrow>\r\n
    \                           <mml:mrow>\r\n                              <mml:msup>\r\n
    \                               <mml:mi>L</mml:mi>\r\n                                <mml:mi>∞</mml:mi>\r\n
    \                             </mml:msup>\r\n                              <mml:mrow>\r\n
    \                               <mml:mo>(</mml:mo>\r\n                                <mml:mi>Ω</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                           </mml:mrow>\r\n                          </mml:msub>\r\n
    \                         <mml:mo>≤</mml:mo>\r\n                          <mml:mi>C</mml:mi>\r\n
    \                         <mml:mi>z</mml:mi>\r\n                          <mml:mrow>\r\n
    \                           <mml:mo>(</mml:mo>\r\n                            <mml:mi>t</mml:mi>\r\n
    \                           <mml:mo>)</mml:mo>\r\n                          </mml:mrow>\r\n
    \                         <mml:mspace />\r\n                          <mml:mspace
    />\r\n                          <mml:mtext>for</mml:mtext>\r\n                          <mml:mspace
    />\r\n                          <mml:mspace />\r\n                          <mml:mtext>all</mml:mtext>\r\n
    \                         <mml:mspace />\r\n                          <mml:mi>t</mml:mi>\r\n
    \                         <mml:mo>&gt;</mml:mo>\r\n                          <mml:mn>0</mml:mn>\r\n
    \                         <mml:mo>,</mml:mo>\r\n                        </mml:mrow>\r\n
    \                     </mml:mtd>\r\n                    </mml:mtr>\r\n                  </mml:mtable>\r\n
    \               </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:disp-formula>with
    some <jats:inline-formula><jats:alternatives><jats:tex-math>$$C=C^{(u,v)}\\ge
    1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mrow>\r\n                  <mml:mi>C</mml:mi>\r\n                  <mml:mo>=</mml:mo>\r\n
    \                 <mml:msup>\r\n                    <mml:mi>C</mml:mi>\r\n                    <mml:mrow>\r\n
    \                     <mml:mo>(</mml:mo>\r\n                      <mml:mi>u</mml:mi>\r\n
    \                     <mml:mo>,</mml:mo>\r\n                      <mml:mi>v</mml:mi>\r\n
    \                     <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n
    \                 </mml:msup>\r\n                  <mml:mo>≥</mml:mo>\r\n                  <mml:mn>1</mml:mn>\r\n
    \               </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>,
    where <jats:italic>z</jats:italic> denotes the solution of <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    \\left\\{ \\begin{array}{l}z'(t) = z^2(t) \\cdot S\\big ( z(t)\\big ), \\qquad
    t&gt;0, \\\\ z(0)=\\xi _0, \\end{array} \\right. \\end{aligned}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n
    \                 <mml:mtable>\r\n                    <mml:mtr>\r\n                      <mml:mtd>\r\n
    \                       <mml:mfenced>\r\n                          <mml:mrow>\r\n
    \                           <mml:mtable>\r\n                              <mml:mtr>\r\n
    \                               <mml:mtd>\r\n                                  <mml:mrow>\r\n
    \                                   <mml:msup>\r\n                                      <mml:mi>z</mml:mi>\r\n
    \                                     <mml:mo>′</mml:mo>\r\n                                    </mml:msup>\r\n
    \                                   <mml:mrow>\r\n                                      <mml:mo>(</mml:mo>\r\n
    \                                     <mml:mi>t</mml:mi>\r\n                                      <mml:mo>)</mml:mo>\r\n
    \                                   </mml:mrow>\r\n                                    <mml:mo>=</mml:mo>\r\n
    \                                   <mml:msup>\r\n                                      <mml:mi>z</mml:mi>\r\n
    \                                     <mml:mn>2</mml:mn>\r\n                                    </mml:msup>\r\n
    \                                   <mml:mrow>\r\n                                      <mml:mo>(</mml:mo>\r\n
    \                                     <mml:mi>t</mml:mi>\r\n                                      <mml:mo>)</mml:mo>\r\n
    \                                   </mml:mrow>\r\n                                    <mml:mo>·</mml:mo>\r\n
    \                                   <mml:mi>S</mml:mi>\r\n                                    <mml:mrow>\r\n
    \                                     <mml:mo>(</mml:mo>\r\n                                    </mml:mrow>\r\n
    \                                   <mml:mi>z</mml:mi>\r\n                                    <mml:mrow>\r\n
    \                                     <mml:mo>(</mml:mo>\r\n                                      <mml:mi>t</mml:mi>\r\n
    \                                     <mml:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n
    \                                   <mml:mrow>\r\n                                      <mml:mo>)</mml:mo>\r\n
    \                                   </mml:mrow>\r\n                                    <mml:mo>,</mml:mo>\r\n
    \                                   <mml:mspace />\r\n                                    <mml:mi>t</mml:mi>\r\n
    \                                   <mml:mo>&gt;</mml:mo>\r\n                                    <mml:mn>0</mml:mn>\r\n
    \                                   <mml:mo>,</mml:mo>\r\n                                  </mml:mrow>\r\n
    \                               </mml:mtd>\r\n                              </mml:mtr>\r\n
    \                             <mml:mtr>\r\n                                <mml:mtd>\r\n
    \                                 <mml:mrow>\r\n                                    <mml:mrow
    />\r\n                                    <mml:mi>z</mml:mi>\r\n                                    <mml:mrow>\r\n
    \                                     <mml:mo>(</mml:mo>\r\n                                      <mml:mn>0</mml:mn>\r\n
    \                                     <mml:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n
    \                                   <mml:mo>=</mml:mo>\r\n                                    <mml:msub>\r\n
    \                                     <mml:mi>ξ</mml:mi>\r\n                                      <mml:mn>0</mml:mn>\r\n
    \                                   </mml:msub>\r\n                                    <mml:mo>,</mml:mo>\r\n
    \                                 </mml:mrow>\r\n                                </mml:mtd>\r\n
    \                             </mml:mtr>\r\n                            </mml:mtable>\r\n
    \                         </mml:mrow>\r\n                        </mml:mfenced>\r\n
    \                     </mml:mtd>\r\n                    </mml:mtr>\r\n                  </mml:mtable>\r\n
    \               </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:disp-formula>which
    is seen to exist globally, and to satisfy <jats:inline-formula><jats:alternatives><jats:tex-math>$$z(t)\\rightarrow
    +\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mrow>\r\n                  <mml:mi>z</mml:mi>\r\n                  <mml:mo>(</mml:mo>\r\n
    \                 <mml:mi>t</mml:mi>\r\n                  <mml:mo>)</mml:mo>\r\n
    \                 <mml:mo>→</mml:mo>\r\n                  <mml:mo>+</mml:mo>\r\n
    \                 <mml:mi>∞</mml:mi>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>
    as <jats:inline-formula><jats:alternatives><jats:tex-math>$$t\\rightarrow \\infty
    $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mrow>\r\n                  <mml:mi>t</mml:mi>\r\n                  <mml:mo>→</mml:mo>\r\n
    \                 <mml:mi>∞</mml:mi>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>.
    As particular examples, exponentially and doubly exponentially decaying <jats:italic>S</jats:italic>
    are found to imply corresponding infinite-time blow-up properties in (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\star
    $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mo>⋆</mml:mo>\r\n              </mml:math></jats:alternatives></jats:inline-formula>)
    at logarithmic and doubly logarithmic rates, respectively.</jats:p>"
author:
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Winkler M. Slow Grow-up in a Quasilinear Keller–Segel System. <i>Journal of
    Dynamics and Differential Equations</i>. Published online 2022. doi:<a href="https://doi.org/10.1007/s10884-022-10167-w">10.1007/s10884-022-10167-w</a>
  apa: Winkler, M. (2022). Slow Grow-up in a Quasilinear Keller–Segel System. <i>Journal
    of Dynamics and Differential Equations</i>. <a href="https://doi.org/10.1007/s10884-022-10167-w">https://doi.org/10.1007/s10884-022-10167-w</a>
  bibtex: '@article{Winkler_2022, title={Slow Grow-up in a Quasilinear Keller–Segel
    System}, DOI={<a href="https://doi.org/10.1007/s10884-022-10167-w">10.1007/s10884-022-10167-w</a>},
    journal={Journal of Dynamics and Differential Equations}, publisher={Springer
    Science and Business Media LLC}, author={Winkler, Michael}, year={2022} }'
  chicago: Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.”
    <i>Journal of Dynamics and Differential Equations</i>, 2022. <a href="https://doi.org/10.1007/s10884-022-10167-w">https://doi.org/10.1007/s10884-022-10167-w</a>.
  ieee: 'M. Winkler, “Slow Grow-up in a Quasilinear Keller–Segel System,” <i>Journal
    of Dynamics and Differential Equations</i>, 2022, doi: <a href="https://doi.org/10.1007/s10884-022-10167-w">10.1007/s10884-022-10167-w</a>.'
  mla: Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” <i>Journal
    of Dynamics and Differential Equations</i>, Springer Science and Business Media
    LLC, 2022, doi:<a href="https://doi.org/10.1007/s10884-022-10167-w">10.1007/s10884-022-10167-w</a>.
  short: M. Winkler, Journal of Dynamics and Differential Equations (2022).
date_created: 2024-04-07T12:39:12Z
date_updated: 2024-04-07T12:39:17Z
doi: 10.1007/s10884-022-10167-w
keyword:
- Analysis
language:
- iso: eng
publication: Journal of Dynamics and Differential Equations
publication_identifier:
  issn:
  - 1040-7294
  - 1572-9222
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Slow Grow-up in a Quasilinear Keller–Segel System
type: journal_article
user_id: '31496'
year: '2022'
...
---
_id: '53327'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Tao Y, Winkler M. Global solutions to a Keller-Segel-consumption system involving
    singularly signal-dependent motilities in domains of arbitrary dimension. <i>Journal
    of Differential Equations</i>. 2022;343:390-418. doi:<a href="https://doi.org/10.1016/j.jde.2022.10.022">10.1016/j.jde.2022.10.022</a>
  apa: Tao, Y., &#38; Winkler, M. (2022). Global solutions to a Keller-Segel-consumption
    system involving singularly signal-dependent motilities in domains of arbitrary
    dimension. <i>Journal of Differential Equations</i>, <i>343</i>, 390–418. <a href="https://doi.org/10.1016/j.jde.2022.10.022">https://doi.org/10.1016/j.jde.2022.10.022</a>
  bibtex: '@article{Tao_Winkler_2022, title={Global solutions to a Keller-Segel-consumption
    system involving singularly signal-dependent motilities in domains of arbitrary
    dimension}, volume={343}, DOI={<a href="https://doi.org/10.1016/j.jde.2022.10.022">10.1016/j.jde.2022.10.022</a>},
    journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao,
    Youshan and Winkler, Michael}, year={2022}, pages={390–418} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption
    System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary
    Dimension.” <i>Journal of Differential Equations</i> 343 (2022): 390–418. <a href="https://doi.org/10.1016/j.jde.2022.10.022">https://doi.org/10.1016/j.jde.2022.10.022</a>.'
  ieee: 'Y. Tao and M. Winkler, “Global solutions to a Keller-Segel-consumption system
    involving singularly signal-dependent motilities in domains of arbitrary dimension,”
    <i>Journal of Differential Equations</i>, vol. 343, pp. 390–418, 2022, doi: <a
    href="https://doi.org/10.1016/j.jde.2022.10.022">10.1016/j.jde.2022.10.022</a>.'
  mla: Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption
    System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary
    Dimension.” <i>Journal of Differential Equations</i>, vol. 343, Elsevier BV, 2022,
    pp. 390–418, doi:<a href="https://doi.org/10.1016/j.jde.2022.10.022">10.1016/j.jde.2022.10.022</a>.
  short: Y. Tao, M. Winkler, Journal of Differential Equations 343 (2022) 390–418.
date_created: 2024-04-07T12:42:28Z
date_updated: 2024-04-07T12:42:32Z
doi: 10.1016/j.jde.2022.10.022
intvolume: '       343'
keyword:
- Analysis
- Applied Mathematics
language:
- iso: eng
page: 390-418
publication: Journal of Differential Equations
publication_identifier:
  issn:
  - 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: Global solutions to a Keller-Segel-consumption system involving singularly
  signal-dependent motilities in domains of arbitrary dimension
type: journal_article
user_id: '31496'
volume: 343
year: '2022'
...
---
_id: '53325'
article_number: '113153'
author:
- first_name: Laurent
  full_name: Desvillettes, Laurent
  last_name: Desvillettes
- first_name: Philippe
  full_name: Laurençot, Philippe
  last_name: Laurençot
- first_name: Ariane
  full_name: Trescases, Ariane
  last_name: Trescases
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Desvillettes L, Laurençot P, Trescases A, Winkler M. Weak solutions to triangular
    cross diffusion systems modeling chemotaxis with local sensing. <i>Nonlinear Analysis</i>.
    2022;226. doi:<a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>
  apa: Desvillettes, L., Laurençot, P., Trescases, A., &#38; Winkler, M. (2022). Weak
    solutions to triangular cross diffusion systems modeling chemotaxis with local
    sensing. <i>Nonlinear Analysis</i>, <i>226</i>, Article 113153. <a href="https://doi.org/10.1016/j.na.2022.113153">https://doi.org/10.1016/j.na.2022.113153</a>
  bibtex: '@article{Desvillettes_Laurençot_Trescases_Winkler_2022, title={Weak solutions
    to triangular cross diffusion systems modeling chemotaxis with local sensing},
    volume={226}, DOI={<a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>},
    number={113153}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Desvillettes,
    Laurent and Laurençot, Philippe and Trescases, Ariane and Winkler, Michael}, year={2022}
    }'
  chicago: Desvillettes, Laurent, Philippe Laurençot, Ariane Trescases, and Michael
    Winkler. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis
    with Local Sensing.” <i>Nonlinear Analysis</i> 226 (2022). <a href="https://doi.org/10.1016/j.na.2022.113153">https://doi.org/10.1016/j.na.2022.113153</a>.
  ieee: 'L. Desvillettes, P. Laurençot, A. Trescases, and M. Winkler, “Weak solutions
    to triangular cross diffusion systems modeling chemotaxis with local sensing,”
    <i>Nonlinear Analysis</i>, vol. 226, Art. no. 113153, 2022, doi: <a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>.'
  mla: Desvillettes, Laurent, et al. “Weak Solutions to Triangular Cross Diffusion
    Systems Modeling Chemotaxis with Local Sensing.” <i>Nonlinear Analysis</i>, vol.
    226, 113153, Elsevier BV, 2022, doi:<a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>.
  short: L. Desvillettes, P. Laurençot, A. Trescases, M. Winkler, Nonlinear Analysis
    226 (2022).
date_created: 2024-04-07T12:41:15Z
date_updated: 2024-04-07T12:41:20Z
doi: 10.1016/j.na.2022.113153
intvolume: '       226'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: Weak solutions to triangular cross diffusion systems modeling chemotaxis with
  local sensing
type: journal_article
user_id: '31496'
volume: 226
year: '2022'
...
---
_id: '53331'
abstract:
- lang: eng
  text: "<jats:p>In a ball <jats:inline-formula><jats:alternatives><jats:tex-math>$\\Omega
    \\subset \\mathbb {R}^{n}$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline1.png\" /></jats:alternatives></jats:inline-formula>
    with <jats:inline-formula><jats:alternatives><jats:tex-math>$n\\ge 2$</jats:tex-math><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline2.png\"
    /></jats:alternatives></jats:inline-formula>, the chemotaxis system\r\n<jats:disp-formula><jats:alternatives><jats:tex-math>\\[
    \\left\\{ \\begin{array}{@{}l} u_t = \\nabla \\cdot \\big( D(u)\\nabla u\\big)
    + \\nabla\\cdot \\big(\\dfrac{u}{v} \\nabla v\\big), \\\\ 0=\\Delta v - uv \\end{array}
    \\right. \\]</jats:tex-math><jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" mimetype=\"image\" position=\"float\" xlink:href=\"S0308210522000397_eqnU1.png\"
    /></jats:alternatives></jats:disp-formula>is considered along with no-flux boundary
    conditions for <jats:inline-formula><jats:alternatives><jats:tex-math>$u$</jats:tex-math><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline3.png\"
    /></jats:alternatives></jats:inline-formula> and with prescribed constant positive
    Dirichlet boundary data for <jats:inline-formula><jats:alternatives><jats:tex-math>$v$</jats:tex-math><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline4.png\"
    /></jats:alternatives></jats:inline-formula>. It is shown that if <jats:inline-formula><jats:alternatives><jats:tex-math>$D\\in
    C^{3}([0,\\infty ))$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline5.png\" /></jats:alternatives></jats:inline-formula>
    is such that <jats:inline-formula><jats:alternatives><jats:tex-math>$0&lt; D(\\xi
    ) \\le {K_D} (\\xi +1)^{-\\alpha }$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline6.png\" /></jats:alternatives></jats:inline-formula>
    for all <jats:inline-formula><jats:alternatives><jats:tex-math>$\\xi &gt;0$</jats:tex-math><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline7.png\"
    /></jats:alternatives></jats:inline-formula> with some <jats:inline-formula><jats:alternatives><jats:tex-math>${K_D}&gt;0$</jats:tex-math><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline8.png\"
    /></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$\\alpha
    &gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\"
    mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline9.png\" /></jats:alternatives></jats:inline-formula>,
    then for all initial data from a considerably large set of radial functions on
    <jats:inline-formula><jats:alternatives><jats:tex-math>$\\Omega$</jats:tex-math><jats:inline-graphic
    xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline10.png\"
    /></jats:alternatives></jats:inline-formula>, the corresponding initial-boundary
    value problem admits a solution blowing up in finite time.</jats:p>"
author:
- first_name: Yulan
  full_name: Wang, Yulan
  last_name: Wang
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: 'Wang Y, Winkler M. Finite-time blow-up in a repulsive chemotaxis-consumption
    system. <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>.
    2022;153(4):1150-1166. doi:<a href="https://doi.org/10.1017/prm.2022.39">10.1017/prm.2022.39</a>'
  apa: 'Wang, Y., &#38; Winkler, M. (2022). Finite-time blow-up in a repulsive chemotaxis-consumption
    system. <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>,
    <i>153</i>(4), 1150–1166. <a href="https://doi.org/10.1017/prm.2022.39">https://doi.org/10.1017/prm.2022.39</a>'
  bibtex: '@article{Wang_Winkler_2022, title={Finite-time blow-up in a repulsive chemotaxis-consumption
    system}, volume={153}, DOI={<a href="https://doi.org/10.1017/prm.2022.39">10.1017/prm.2022.39</a>},
    number={4}, journal={Proceedings of the Royal Society of Edinburgh: Section A
    Mathematics}, publisher={Cambridge University Press (CUP)}, author={Wang, Yulan
    and Winkler, Michael}, year={2022}, pages={1150–1166} }'
  chicago: 'Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive
    Chemotaxis-Consumption System.” <i>Proceedings of the Royal Society of Edinburgh:
    Section A Mathematics</i> 153, no. 4 (2022): 1150–66. <a href="https://doi.org/10.1017/prm.2022.39">https://doi.org/10.1017/prm.2022.39</a>.'
  ieee: 'Y. Wang and M. Winkler, “Finite-time blow-up in a repulsive chemotaxis-consumption
    system,” <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>,
    vol. 153, no. 4, pp. 1150–1166, 2022, doi: <a href="https://doi.org/10.1017/prm.2022.39">10.1017/prm.2022.39</a>.'
  mla: 'Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption
    System.” <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>,
    vol. 153, no. 4, Cambridge University Press (CUP), 2022, pp. 1150–66, doi:<a href="https://doi.org/10.1017/prm.2022.39">10.1017/prm.2022.39</a>.'
  short: 'Y. Wang, M. Winkler, Proceedings of the Royal Society of Edinburgh: Section
    A Mathematics 153 (2022) 1150–1166.'
date_created: 2024-04-07T12:44:26Z
date_updated: 2024-04-07T12:44:30Z
doi: 10.1017/prm.2022.39
intvolume: '       153'
issue: '4'
keyword:
- General Mathematics
language:
- iso: eng
page: 1150-1166
publication: 'Proceedings of the Royal Society of Edinburgh: Section A Mathematics'
publication_identifier:
  issn:
  - 0308-2105
  - 1473-7124
publication_status: published
publisher: Cambridge University Press (CUP)
status: public
title: Finite-time blow-up in a repulsive chemotaxis-consumption system
type: journal_article
user_id: '31496'
volume: 153
year: '2022'
...
---
_id: '53344'
abstract:
- lang: eng
  text: '<jats:p> A no-flux initial-boundary value problem for the cross-diffusion
    system [Formula: see text] is considered in smoothly bounded domains [Formula:
    see text] with [Formula: see text]. It is shown that whenever [Formula: see text]
    is positive on [Formula: see text] and such that [Formula: see text] for some
    [Formula: see text], for all suitably regular positive initial data a global very
    weak solution, particularly preserving mass in its first component, can be constructed.
    This extends previous results which either concentrate on non-degenerate analogs,
    or are restricted to the special case [Formula: see text]. </jats:p><jats:p> To
    appropriately cope with the considerably stronger cross-degeneracies thus allowed
    through [Formula: see text] when [Formula: see text] is large, in its core part
    the analysis relies on the use of the Moser–Trudinger inequality in controlling
    the respective diffusion rates [Formula: see text] from below. </jats:p>'
author:
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Winkler M. Application of the Moser–Trudinger inequality in the construction
    of global solutions to a strongly degenerate migration model. <i>Bulletin of Mathematical
    Sciences</i>. 2022;13(02). doi:<a href="https://doi.org/10.1142/s1664360722500126">10.1142/s1664360722500126</a>
  apa: Winkler, M. (2022). Application of the Moser–Trudinger inequality in the construction
    of global solutions to a strongly degenerate migration model. <i>Bulletin of Mathematical
    Sciences</i>, <i>13</i>(02). <a href="https://doi.org/10.1142/s1664360722500126">https://doi.org/10.1142/s1664360722500126</a>
  bibtex: '@article{Winkler_2022, title={Application of the Moser–Trudinger inequality
    in the construction of global solutions to a strongly degenerate migration model},
    volume={13}, DOI={<a href="https://doi.org/10.1142/s1664360722500126">10.1142/s1664360722500126</a>},
    number={02}, journal={Bulletin of Mathematical Sciences}, publisher={World Scientific
    Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }'
  chicago: Winkler, Michael. “Application of the Moser–Trudinger Inequality in the
    Construction of Global Solutions to a Strongly Degenerate Migration Model.” <i>Bulletin
    of Mathematical Sciences</i> 13, no. 02 (2022). <a href="https://doi.org/10.1142/s1664360722500126">https://doi.org/10.1142/s1664360722500126</a>.
  ieee: 'M. Winkler, “Application of the Moser–Trudinger inequality in the construction
    of global solutions to a strongly degenerate migration model,” <i>Bulletin of
    Mathematical Sciences</i>, vol. 13, no. 02, 2022, doi: <a href="https://doi.org/10.1142/s1664360722500126">10.1142/s1664360722500126</a>.'
  mla: Winkler, Michael. “Application of the Moser–Trudinger Inequality in the Construction
    of Global Solutions to a Strongly Degenerate Migration Model.” <i>Bulletin of
    Mathematical Sciences</i>, vol. 13, no. 02, World Scientific Pub Co Pte Ltd, 2022,
    doi:<a href="https://doi.org/10.1142/s1664360722500126">10.1142/s1664360722500126</a>.
  short: M. Winkler, Bulletin of Mathematical Sciences 13 (2022).
date_created: 2024-04-07T12:55:07Z
date_updated: 2024-04-07T12:55:11Z
doi: 10.1142/s1664360722500126
intvolume: '        13'
issue: '02'
keyword:
- General Mathematics
language:
- iso: eng
publication: Bulletin of Mathematical Sciences
publication_identifier:
  issn:
  - 1664-3607
  - 1664-3615
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
status: public
title: Application of the Moser–Trudinger inequality in the construction of global
  solutions to a strongly degenerate migration model
type: journal_article
user_id: '31496'
volume: 13
year: '2022'
...
---
_id: '35788'
author:
- first_name: Martin
  full_name: Fochmann, Martin
  last_name: Fochmann
- first_name: Vanessa
  full_name: Heinemann-Heile, Vanessa
  id: '83380'
  last_name: Heinemann-Heile
- first_name: Hans-Peter
  full_name: Huber, Hans-Peter
  last_name: Huber
- first_name: Ralf
  full_name: Maiterth, Ralf
  last_name: Maiterth
- first_name: Caren
  full_name: Sureth-Sloane, Caren
  id: '530'
  last_name: Sureth-Sloane
  orcid: ' 0000-0002-8183-5901'
citation:
  ama: Fochmann M, Heinemann-Heile V, Huber H-P, Maiterth R, Sureth-Sloane C. <i>Zusatzkosten
    der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands und der subjektiv
    wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’ Hidden Cost of
    Taxation)</i>. Vol 100.; 2022. doi:<a href="https://doi.org/10.2139/ssrn.4210460">10.2139/ssrn.4210460</a>
  apa: Fochmann, M., Heinemann-Heile, V., Huber, H.-P., Maiterth, R., &#38; Sureth-Sloane,
    C. (2022). <i>Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands
    und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’
    Hidden Cost of Taxation)</i> (Vol. 100). <a href="https://doi.org/10.2139/ssrn.4210460">https://doi.org/10.2139/ssrn.4210460</a>
  bibtex: '@book{Fochmann_Heinemann-Heile_Huber_Maiterth_Sureth-Sloane_2022, series={TRR
    266 Accounting for Transparency Working Paper Series}, title={Zusatzkosten der
    Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands und der subjektiv
    wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’ Hidden Cost of
    Taxation)}, volume={100}, DOI={<a href="https://doi.org/10.2139/ssrn.4210460">10.2139/ssrn.4210460</a>},
    author={Fochmann, Martin and Heinemann-Heile, Vanessa and Huber, Hans-Peter and
    Maiterth, Ralf and Sureth-Sloane, Caren}, year={2022}, collection={TRR 266 Accounting
    for Transparency Working Paper Series} }'
  chicago: Fochmann, Martin, Vanessa Heinemann-Heile, Hans-Peter Huber, Ralf Maiterth,
    and Caren Sureth-Sloane. <i>Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen
    Verwaltungsaufwands und der subjektiv wahrgenommenen Steuerbelastung (An Empirical
    Analysis of Firms’ Hidden Cost of Taxation)</i>. Vol. 100. TRR 266 Accounting
    for Transparency Working Paper Series, 2022. <a href="https://doi.org/10.2139/ssrn.4210460">https://doi.org/10.2139/ssrn.4210460</a>.
  ieee: M. Fochmann, V. Heinemann-Heile, H.-P. Huber, R. Maiterth, and C. Sureth-Sloane,
    <i>Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands
    und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’
    Hidden Cost of Taxation)</i>, vol. 100. 2022.
  mla: Fochmann, Martin, et al. <i>Zusatzkosten der Besteuerung – Eine Analyse des
    steuerlichen Verwaltungsaufwands und der subjektiv wahrgenommenen Steuerbelastung
    (An Empirical Analysis of Firms’ Hidden Cost of Taxation)</i>. 2022, doi:<a href="https://doi.org/10.2139/ssrn.4210460">10.2139/ssrn.4210460</a>.
  short: M. Fochmann, V. Heinemann-Heile, H.-P. Huber, R. Maiterth, C. Sureth-Sloane,
    Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands
    und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’
    Hidden Cost of Taxation), 2022.
date_created: 2023-01-10T10:51:40Z
date_updated: 2024-04-08T11:33:02Z
department:
- _id: '187'
doi: 10.2139/ssrn.4210460
intvolume: '       100'
keyword:
- General Earth and Planetary Sciences
- General Environmental Science
language:
- iso: ger
main_file_link:
- open_access: '1'
oa: '1'
publication_identifier:
  issn:
  - 1556-5068
publication_status: published
series_title: TRR 266 Accounting for Transparency Working Paper Series
status: public
title: Zusatzkosten der Besteuerung – Eine Analyse des steuerlichen Verwaltungsaufwands
  und der subjektiv wahrgenommenen Steuerbelastung (An Empirical Analysis of Firms’
  Hidden Cost of Taxation)
type: working_paper
user_id: '530'
volume: 100
year: '2022'
...
---
_id: '35795'
author:
- first_name: Stefan
  full_name: Greil, Stefan
  last_name: Greil
- first_name: Michael
  full_name: Overesch, Michael
  last_name: Overesch
- first_name: Anna
  full_name: Rohlfing-Bastian, Anna
  last_name: Rohlfing-Bastian
- first_name: Ulrich
  full_name: Schreiber, Ulrich
  last_name: Schreiber
- first_name: Caren
  full_name: Sureth-Sloane, Caren
  id: '530'
  last_name: Sureth-Sloane
  orcid: ' 0000-0002-8183-5901'
citation:
  ama: Greil S, Overesch M, Rohlfing-Bastian A, Schreiber U, Sureth-Sloane C. <i>Towards
    an Amended Arm’s Length Principle - Tackling Complexity and Implementing Destination
    Rules in Transfer Pricing</i>. Vol 89.; 2022. doi:<a href="https://doi.org/10.2139/ssrn.4166972">10.2139/ssrn.4166972</a>
  apa: Greil, S., Overesch, M., Rohlfing-Bastian, A., Schreiber, U., &#38; Sureth-Sloane,
    C. (2022). <i>Towards an Amended Arm’s Length Principle - Tackling complexity
    and implementing destination rules in transfer pricing</i> (Vol. 89). <a href="https://doi.org/10.2139/ssrn.4166972">https://doi.org/10.2139/ssrn.4166972</a>
  bibtex: '@book{Greil_Overesch_Rohlfing-Bastian_Schreiber_Sureth-Sloane_2022, series={TRR
    266 Accounting for Transparency Working Paper Series}, title={Towards an Amended
    Arm’s Length Principle - Tackling complexity and implementing destination rules
    in transfer pricing}, volume={89}, DOI={<a href="https://doi.org/10.2139/ssrn.4166972">10.2139/ssrn.4166972</a>},
    author={Greil, Stefan and Overesch, Michael and Rohlfing-Bastian, Anna and Schreiber,
    Ulrich and Sureth-Sloane, Caren}, year={2022}, collection={TRR 266 Accounting
    for Transparency Working Paper Series} }'
  chicago: Greil, Stefan, Michael Overesch, Anna Rohlfing-Bastian, Ulrich Schreiber,
    and Caren Sureth-Sloane. <i>Towards an Amended Arm’s Length Principle - Tackling
    Complexity and Implementing Destination Rules in Transfer Pricing</i>. Vol. 89.
    TRR 266 Accounting for Transparency Working Paper Series, 2022. <a href="https://doi.org/10.2139/ssrn.4166972">https://doi.org/10.2139/ssrn.4166972</a>.
  ieee: S. Greil, M. Overesch, A. Rohlfing-Bastian, U. Schreiber, and C. Sureth-Sloane,
    <i>Towards an Amended Arm’s Length Principle - Tackling complexity and implementing
    destination rules in transfer pricing</i>, vol. 89. 2022.
  mla: Greil, Stefan, et al. <i>Towards an Amended Arm’s Length Principle - Tackling
    Complexity and Implementing Destination Rules in Transfer Pricing</i>. 2022, doi:<a
    href="https://doi.org/10.2139/ssrn.4166972">10.2139/ssrn.4166972</a>.
  short: S. Greil, M. Overesch, A. Rohlfing-Bastian, U. Schreiber, C. Sureth-Sloane,
    Towards an Amended Arm’s Length Principle - Tackling Complexity and Implementing
    Destination Rules in Transfer Pricing, 2022.
date_created: 2023-01-10T11:00:37Z
date_updated: 2024-04-08T11:32:32Z
department:
- _id: '187'
doi: 10.2139/ssrn.4166972
intvolume: '        89'
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
publication_identifier:
  issn:
  - 1556-5068
publication_status: published
series_title: TRR 266 Accounting for Transparency Working Paper Series
status: public
title: Towards an Amended Arm's Length Principle - Tackling complexity and implementing
  destination rules in transfer pricing
type: working_paper
user_id: '530'
volume: 89
year: '2022'
...
---
_id: '52574'
author:
- first_name: Gerda
  full_name: Werth, Gerda
  id: '578'
  last_name: Werth
citation:
  ama: 'Werth G. Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde
    Vaertings. In: <i>Beiträge zum Mathematikunterricht</i>. WTM; 2022. doi:<a href="https://doi.org/10.37626/GA9783959872089.0">https://doi.org/10.37626/GA9783959872089.0</a>'
  apa: Werth, G. (2022). Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde
    Vaertings. <i>Beiträge zum Mathematikunterricht</i>. 56. Jahrestagung der Gesellschaft
    für Didaktik der Mathematik, Frankfurt am. Main. <a href="https://doi.org/10.37626/GA9783959872089.0">https://doi.org/10.37626/GA9783959872089.0</a>
  bibtex: '@inproceedings{Werth_2022, place={Münster}, title={Neue Wege im mathematischen
    Unterricht - Auf den Spuren Mathilde Vaertings}, DOI={<a href="https://doi.org/10.37626/GA9783959872089.0">https://doi.org/10.37626/GA9783959872089.0</a>},
    booktitle={Beiträge zum Mathematikunterricht}, publisher={WTM}, author={Werth,
    Gerda}, year={2022} }'
  chicago: 'Werth, Gerda. “Neue Wege im mathematischen Unterricht - Auf den Spuren
    Mathilde Vaertings.” In <i>Beiträge zum Mathematikunterricht</i>. Münster: WTM,
    2022. <a href="https://doi.org/10.37626/GA9783959872089.0">https://doi.org/10.37626/GA9783959872089.0</a>.'
  ieee: 'G. Werth, “Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde
    Vaertings,” presented at the 56. Jahrestagung der Gesellschaft für Didaktik der
    Mathematik, Frankfurt am. Main, 2022, doi: <a href="https://doi.org/10.37626/GA9783959872089.0">https://doi.org/10.37626/GA9783959872089.0</a>.'
  mla: Werth, Gerda. “Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde
    Vaertings.” <i>Beiträge zum Mathematikunterricht</i>, WTM, 2022, doi:<a href="https://doi.org/10.37626/GA9783959872089.0">https://doi.org/10.37626/GA9783959872089.0</a>.
  short: 'G. Werth, in: Beiträge zum Mathematikunterricht, WTM, Münster, 2022.'
conference:
  end_date: 2022-09-02
  location: Frankfurt am. Main
  name: 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik
  start_date: 2022-08-29
date_created: 2024-03-14T11:17:56Z
date_updated: 2024-04-09T10:56:58Z
department:
- _id: '10'
- _id: '98'
- _id: '360'
doi: https://doi.org/10.37626/GA9783959872089.0
language:
- iso: ger
place: Münster
publication: Beiträge zum Mathematikunterricht
publication_status: published
publisher: WTM
status: public
title: Neue Wege im mathematischen Unterricht - Auf den Spuren Mathilde Vaertings
type: conference
user_id: '578'
year: '2022'
...
---
_id: '35749'
author:
- first_name: .
  full_name: Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre
    e.V., .
  last_name: Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre
    e.V.
- first_name: A
  full_name: 'lead authors: Kreuzer, A'
  last_name: 'lead authors: Kreuzer'
- first_name: H
  full_name: Maier, H
  last_name: Maier
- first_name: J. T.
  full_name: Martini, J. T.
  last_name: Martini
- first_name: Rainer
  full_name: Niemann, Rainer
  last_name: Niemann
- first_name: Maite
  full_name: Schachtebeck, Maite
  last_name: Schachtebeck
- first_name: Dirk
  full_name: Simons, Dirk
  last_name: Simons
- first_name: J
  full_name: Stoltenberg, J
  last_name: Stoltenberg
- first_name: Caren
  full_name: Sureth-Sloane, Caren
  id: '530'
  last_name: Sureth-Sloane
  orcid: ' 0000-0002-8183-5901'
citation:
  ama: 'Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre
    e.V. ., lead authors: Kreuzer A, Maier H, et al. Chancen und Risiken eines Cooperative
    Compliance-Ansatzes für die deutsche Besteuerungspraxis von multinationalen Unternehmen
    – Erfahrungen verschiedener Länder und Eindrücke deutscher Unternehmensvertreter.
    <i>Internationales Steuerrecht</i>. 2022;31(22):824-829.'
  apa: 'Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre
    e.V., ., lead authors: Kreuzer, A., Maier, H., Martini, J. T., Niemann, R., Schachtebeck,
    M., Simons, D., Stoltenberg, J., &#38; Sureth-Sloane, C. (2022). Chancen und Risiken
    eines Cooperative Compliance-Ansatzes für die deutsche Besteuerungspraxis von
    multinationalen Unternehmen – Erfahrungen verschiedener Länder und Eindrücke deutscher
    Unternehmensvertreter. <i>Internationales Steuerrecht</i>, <i>31</i>(22), 824–829.'
  bibtex: '@article{Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft
    für Betriebswirtschaftslehre e.V._lead authors: Kreuzer_Maier_Martini_Niemann_Schachtebeck_Simons_Stoltenberg_Sureth-Sloane_2022,
    title={Chancen und Risiken eines Cooperative Compliance-Ansatzes für die deutsche
    Besteuerungspraxis von multinationalen Unternehmen – Erfahrungen verschiedener
    Länder und Eindrücke deutscher Unternehmensvertreter}, volume={31}, number={22},
    journal={Internationales Steuerrecht}, author={Arbeitskreis Verrechnungspreise
    der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre e.V., . and lead authors:
    Kreuzer, A and Maier, H and Martini, J. T. and Niemann, Rainer and Schachtebeck,
    Maite and Simons, Dirk and Stoltenberg, J and Sureth-Sloane, Caren}, year={2022},
    pages={824–829} }'
  chicago: 'Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre
    e.V., ., A lead authors: Kreuzer, H Maier, J. T. Martini, Rainer Niemann, Maite
    Schachtebeck, Dirk Simons, J Stoltenberg, and Caren Sureth-Sloane. “Chancen und
    Risiken eines Cooperative Compliance-Ansatzes für die deutsche Besteuerungspraxis
    von multinationalen Unternehmen – Erfahrungen verschiedener Länder und Eindrücke
    deutscher Unternehmensvertreter.” <i>Internationales Steuerrecht</i> 31, no. 22
    (2022): 824–29.'
  ieee: . Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre
    e.V. <i>et al.</i>, “Chancen und Risiken eines Cooperative Compliance-Ansatzes
    für die deutsche Besteuerungspraxis von multinationalen Unternehmen – Erfahrungen
    verschiedener Länder und Eindrücke deutscher Unternehmensvertreter,” <i>Internationales
    Steuerrecht</i>, vol. 31, no. 22, pp. 824–829, 2022.
  mla: Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre
    e.V., ., et al. “Chancen und Risiken eines Cooperative Compliance-Ansatzes für
    die deutsche Besteuerungspraxis von multinationalen Unternehmen – Erfahrungen
    verschiedener Länder und Eindrücke deutscher Unternehmensvertreter.” <i>Internationales
    Steuerrecht</i>, vol. 31, no. 22, 2022, pp. 824–29.
  short: '. Arbeitskreis Verrechnungspreise der Schmalenbach-Gesellschaft für Betriebswirtschaftslehre
    e.V., A. lead authors: Kreuzer, H. Maier, J.T. Martini, R. Niemann, M. Schachtebeck,
    D. Simons, J. Stoltenberg, C. Sureth-Sloane, Internationales Steuerrecht 31 (2022)
    824–829.'
date_created: 2023-01-10T10:18:09Z
date_updated: 2024-04-11T12:05:34Z
department:
- _id: '187'
intvolume: '        31'
issue: '22'
language:
- iso: ger
page: 824-829
publication: Internationales Steuerrecht
publication_status: published
status: public
title: Chancen und Risiken eines Cooperative Compliance-Ansatzes für die deutsche
  Besteuerungspraxis von multinationalen Unternehmen – Erfahrungen verschiedener Länder
  und Eindrücke deutscher Unternehmensvertreter
type: journal_article
user_id: '74000'
volume: 31
year: '2022'
...
---
_id: '53421'
abstract:
- lang: eng
  text: "We define invariants $\\operatorname{inv}_1,\\dots,\\operatorname{inv}_m$
    of\r\nGalois extensions of number fields with a fixed Galois group. Then, we propose\r\na
    heuristic in the spirit of Malle's conjecture which asymptotically predicts\r\nthe
    number of extensions that satisfy $\\operatorname{inv}_i\\leq X_i$ for all\r\n$X_i$.
    The resulting conjecture is proved for abelian Galois groups. We also\r\ndescribe
    refined Artin conductors that carry essentially the same information\r\nas the
    invariants $\\operatorname{inv}_1,\\dots,\\operatorname{inv}_m$."
author:
- first_name: Fabian
  full_name: Gundlach, Fabian
  id: '100450'
  last_name: Gundlach
citation:
  ama: Gundlach F. Malle’s conjecture with multiple invariants. <i>arXiv:221116698</i>.
    Published online 2022.
  apa: Gundlach, F. (2022). Malle’s conjecture with multiple invariants. In <i>arXiv:2211.16698</i>.
  bibtex: '@article{Gundlach_2022, title={Malle’s conjecture with multiple invariants},
    journal={arXiv:2211.16698}, author={Gundlach, Fabian}, year={2022} }'
  chicago: Gundlach, Fabian. “Malle’s Conjecture with Multiple Invariants.” <i>ArXiv:2211.16698</i>,
    2022.
  ieee: F. Gundlach, “Malle’s conjecture with multiple invariants,” <i>arXiv:2211.16698</i>.
    2022.
  mla: Gundlach, Fabian. “Malle’s Conjecture with Multiple Invariants.” <i>ArXiv:2211.16698</i>,
    2022.
  short: F. Gundlach, ArXiv:2211.16698 (2022).
date_created: 2024-04-11T12:43:14Z
date_updated: 2024-04-11T12:50:44Z
extern: '1'
external_id:
  arxiv:
  - '2211.16698'
language:
- iso: eng
publication: arXiv:2211.16698
status: public
title: Malle's conjecture with multiple invariants
type: preprint
user_id: '100450'
year: '2022'
...
---
_id: '49825'
author:
- first_name: Isabell
  full_name: Lehmann, Isabell
  id: '49902'
  last_name: Lehmann
- first_name: Evrim
  full_name: Acar, Evrim
  last_name: Acar
- first_name: Tanuj
  full_name: Hasija, Tanuj
  id: '43497'
  last_name: Hasija
- first_name: M.A.B.S.
  full_name: Akhonda, M.A.B.S.
  last_name: Akhonda
- first_name: Vince D.
  full_name: Calhoun, Vince D.
  last_name: Calhoun
- first_name: Peter
  full_name: Schreier, Peter
  last_name: Schreier
- first_name: Tulay
  full_name: Adali, Tulay
  last_name: Adali
citation:
  ama: 'Lehmann I, Acar E, Hasija T, et al. Multi-Task fMRI Data Fusion Using IVA
    and PARAFAC2. In: <i>ICASSP 2022 - 2022 IEEE International Conference on Acoustics,
    Speech and Signal Processing (ICASSP)</i>. IEEE; 2022. doi:<a href="https://doi.org/10.1109/icassp43922.2022.9747662">10.1109/icassp43922.2022.9747662</a>'
  apa: Lehmann, I., Acar, E., Hasija, T., Akhonda, M. A. B. S., Calhoun, V. D., Schreier,
    P., &#38; Adali, T. (2022). Multi-Task fMRI Data Fusion Using IVA and PARAFAC2.
    <i>ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal
    Processing (ICASSP)</i>. <a href="https://doi.org/10.1109/icassp43922.2022.9747662">https://doi.org/10.1109/icassp43922.2022.9747662</a>
  bibtex: '@inproceedings{Lehmann_Acar_Hasija_Akhonda_Calhoun_Schreier_Adali_2022,
    title={Multi-Task fMRI Data Fusion Using IVA and PARAFAC2}, DOI={<a href="https://doi.org/10.1109/icassp43922.2022.9747662">10.1109/icassp43922.2022.9747662</a>},
    booktitle={ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech
    and Signal Processing (ICASSP)}, publisher={IEEE}, author={Lehmann, Isabell and
    Acar, Evrim and Hasija, Tanuj and Akhonda, M.A.B.S. and Calhoun, Vince D. and
    Schreier, Peter and Adali, Tulay}, year={2022} }'
  chicago: Lehmann, Isabell, Evrim Acar, Tanuj Hasija, M.A.B.S. Akhonda, Vince D.
    Calhoun, Peter Schreier, and Tulay Adali. “Multi-Task FMRI Data Fusion Using IVA
    and PARAFAC2.” In <i>ICASSP 2022 - 2022 IEEE International Conference on Acoustics,
    Speech and Signal Processing (ICASSP)</i>. IEEE, 2022. <a href="https://doi.org/10.1109/icassp43922.2022.9747662">https://doi.org/10.1109/icassp43922.2022.9747662</a>.
  ieee: 'I. Lehmann <i>et al.</i>, “Multi-Task fMRI Data Fusion Using IVA and PARAFAC2,”
    2022, doi: <a href="https://doi.org/10.1109/icassp43922.2022.9747662">10.1109/icassp43922.2022.9747662</a>.'
  mla: Lehmann, Isabell, et al. “Multi-Task FMRI Data Fusion Using IVA and PARAFAC2.”
    <i>ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal
    Processing (ICASSP)</i>, IEEE, 2022, doi:<a href="https://doi.org/10.1109/icassp43922.2022.9747662">10.1109/icassp43922.2022.9747662</a>.
  short: 'I. Lehmann, E. Acar, T. Hasija, M.A.B.S. Akhonda, V.D. Calhoun, P. Schreier,
    T. Adali, in: ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech
    and Signal Processing (ICASSP), IEEE, 2022.'
date_created: 2023-12-19T07:46:36Z
date_updated: 2024-04-15T07:37:35Z
department:
- _id: '263'
doi: 10.1109/icassp43922.2022.9747662
language:
- iso: eng
publication: ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech
  and Signal Processing (ICASSP)
publication_status: published
publisher: IEEE
status: public
title: Multi-Task fMRI Data Fusion Using IVA and PARAFAC2
type: conference
user_id: '49902'
year: '2022'
...
---
_id: '53238'
article_number: '101189'
author:
- first_name: Madjid
  full_name: Tavana, Madjid
  id: '31858'
  last_name: Tavana
- first_name: Arash
  full_name: Khalili Nasr, Arash
  last_name: Khalili Nasr
- first_name: Hassan
  full_name: Mina, Hassan
  last_name: Mina
- first_name: Jerzy
  full_name: Michnik, Jerzy
  last_name: Michnik
citation:
  ama: Tavana M, Khalili Nasr A, Mina H, Michnik J. A private sustainable partner
    selection model for green public-private partnerships and regional economic development.
    <i>Socio-Economic Planning Sciences</i>. 2022;83. doi:<a href="https://doi.org/10.1016/j.seps.2021.101189">10.1016/j.seps.2021.101189</a>
  apa: Tavana, M., Khalili Nasr, A., Mina, H., &#38; Michnik, J. (2022). A private
    sustainable partner selection model for green public-private partnerships and
    regional economic development. <i>Socio-Economic Planning Sciences</i>, <i>83</i>,
    Article 101189. <a href="https://doi.org/10.1016/j.seps.2021.101189">https://doi.org/10.1016/j.seps.2021.101189</a>
  bibtex: '@article{Tavana_Khalili Nasr_Mina_Michnik_2022, title={A private sustainable
    partner selection model for green public-private partnerships and regional economic
    development}, volume={83}, DOI={<a href="https://doi.org/10.1016/j.seps.2021.101189">10.1016/j.seps.2021.101189</a>},
    number={101189}, journal={Socio-Economic Planning Sciences}, publisher={Elsevier
    BV}, author={Tavana, Madjid and Khalili Nasr, Arash and Mina, Hassan and Michnik,
    Jerzy}, year={2022} }'
  chicago: Tavana, Madjid, Arash Khalili Nasr, Hassan Mina, and Jerzy Michnik. “A
    Private Sustainable Partner Selection Model for Green Public-Private Partnerships
    and Regional Economic Development.” <i>Socio-Economic Planning Sciences</i> 83
    (2022). <a href="https://doi.org/10.1016/j.seps.2021.101189">https://doi.org/10.1016/j.seps.2021.101189</a>.
  ieee: 'M. Tavana, A. Khalili Nasr, H. Mina, and J. Michnik, “A private sustainable
    partner selection model for green public-private partnerships and regional economic
    development,” <i>Socio-Economic Planning Sciences</i>, vol. 83, Art. no. 101189,
    2022, doi: <a href="https://doi.org/10.1016/j.seps.2021.101189">10.1016/j.seps.2021.101189</a>.'
  mla: Tavana, Madjid, et al. “A Private Sustainable Partner Selection Model for Green
    Public-Private Partnerships and Regional Economic Development.” <i>Socio-Economic
    Planning Sciences</i>, vol. 83, 101189, Elsevier BV, 2022, doi:<a href="https://doi.org/10.1016/j.seps.2021.101189">10.1016/j.seps.2021.101189</a>.
  short: M. Tavana, A. Khalili Nasr, H. Mina, J. Michnik, Socio-Economic Planning
    Sciences 83 (2022).
date_created: 2024-04-04T15:50:16Z
date_updated: 2024-04-15T13:16:33Z
department:
- _id: '277'
doi: 10.1016/j.seps.2021.101189
intvolume: '        83'
keyword:
- Management Science and Operations Research
- Statistics
- Probability and Uncertainty
- Strategy and Management
- Economics and Econometrics
- Geography
- Planning and Development
language:
- iso: eng
publication: Socio-Economic Planning Sciences
publication_identifier:
  issn:
  - 0038-0121
publication_status: published
publisher: Elsevier BV
status: public
title: A private sustainable partner selection model for green public-private partnerships
  and regional economic development
type: journal_article
user_id: '51811'
volume: 83
year: '2022'
...
---
_id: '53240'
author:
- first_name: Madjid
  full_name: Tavana, Madjid
  id: '31858'
  last_name: Tavana
- first_name: Abdolreza
  full_name: Azadmanesh, Abdolreza
  last_name: Azadmanesh
- first_name: Arash Khalili
  full_name: Nasr, Arash Khalili
  last_name: Nasr
- first_name: Hassan
  full_name: Mina, Hassan
  last_name: Mina
citation:
  ama: Tavana M, Azadmanesh A, Nasr AK, Mina H. A multicriteria-optimization model
    for cultural heritage renovation projects and public-private partnerships in the
    hospitality industry. <i>Current Issues in Tourism</i>. 2022;25(22):3709-3734.
    doi:<a href="https://doi.org/10.1080/13683500.2021.2015299">10.1080/13683500.2021.2015299</a>
  apa: Tavana, M., Azadmanesh, A., Nasr, A. K., &#38; Mina, H. (2022). A multicriteria-optimization
    model for cultural heritage renovation projects and public-private partnerships
    in the hospitality industry. <i>Current Issues in Tourism</i>, <i>25</i>(22),
    3709–3734. <a href="https://doi.org/10.1080/13683500.2021.2015299">https://doi.org/10.1080/13683500.2021.2015299</a>
  bibtex: '@article{Tavana_Azadmanesh_Nasr_Mina_2022, title={A multicriteria-optimization
    model for cultural heritage renovation projects and public-private partnerships
    in the hospitality industry}, volume={25}, DOI={<a href="https://doi.org/10.1080/13683500.2021.2015299">10.1080/13683500.2021.2015299</a>},
    number={22}, journal={Current Issues in Tourism}, publisher={Informa UK Limited},
    author={Tavana, Madjid and Azadmanesh, Abdolreza and Nasr, Arash Khalili and Mina,
    Hassan}, year={2022}, pages={3709–3734} }'
  chicago: 'Tavana, Madjid, Abdolreza Azadmanesh, Arash Khalili Nasr, and Hassan Mina.
    “A Multicriteria-Optimization Model for Cultural Heritage Renovation Projects
    and Public-Private Partnerships in the Hospitality Industry.” <i>Current Issues
    in Tourism</i> 25, no. 22 (2022): 3709–34. <a href="https://doi.org/10.1080/13683500.2021.2015299">https://doi.org/10.1080/13683500.2021.2015299</a>.'
  ieee: 'M. Tavana, A. Azadmanesh, A. K. Nasr, and H. Mina, “A multicriteria-optimization
    model for cultural heritage renovation projects and public-private partnerships
    in the hospitality industry,” <i>Current Issues in Tourism</i>, vol. 25, no. 22,
    pp. 3709–3734, 2022, doi: <a href="https://doi.org/10.1080/13683500.2021.2015299">10.1080/13683500.2021.2015299</a>.'
  mla: Tavana, Madjid, et al. “A Multicriteria-Optimization Model for Cultural Heritage
    Renovation Projects and Public-Private Partnerships in the Hospitality Industry.”
    <i>Current Issues in Tourism</i>, vol. 25, no. 22, Informa UK Limited, 2022, pp.
    3709–34, doi:<a href="https://doi.org/10.1080/13683500.2021.2015299">10.1080/13683500.2021.2015299</a>.
  short: M. Tavana, A. Azadmanesh, A.K. Nasr, H. Mina, Current Issues in Tourism 25
    (2022) 3709–3734.
date_created: 2024-04-04T15:51:30Z
date_updated: 2024-04-15T13:17:05Z
department:
- _id: '277'
doi: 10.1080/13683500.2021.2015299
intvolume: '        25'
issue: '22'
keyword:
- Tourism
- Leisure and Hospitality Management
- Geography
- Planning and Development
language:
- iso: eng
page: 3709-3734
publication: Current Issues in Tourism
publication_identifier:
  issn:
  - 1368-3500
  - 1747-7603
publication_status: published
publisher: Informa UK Limited
status: public
title: A multicriteria-optimization model for cultural heritage renovation projects
  and public-private partnerships in the hospitality industry
type: journal_article
user_id: '51811'
volume: 25
year: '2022'
...
---
_id: '53241'
author:
- first_name: Kaveh
  full_name: Khalili-Damghani, Kaveh
  last_name: Khalili-Damghani
- first_name: Madjid
  full_name: Tavana, Madjid
  id: '31858'
  last_name: Tavana
- first_name: Peiman
  full_name: Ghasemi, Peiman
  last_name: Ghasemi
citation:
  ama: Khalili-Damghani K, Tavana M, Ghasemi P. A stochastic bi-objective simulation–optimization
    model for cascade disaster location-allocation-distribution problems. <i>Annals
    of Operations Research</i>. 2022;309(1):103-141. doi:<a href="https://doi.org/10.1007/s10479-021-04191-0">10.1007/s10479-021-04191-0</a>
  apa: Khalili-Damghani, K., Tavana, M., &#38; Ghasemi, P. (2022). A stochastic bi-objective
    simulation–optimization model for cascade disaster location-allocation-distribution
    problems. <i>Annals of Operations Research</i>, <i>309</i>(1), 103–141. <a href="https://doi.org/10.1007/s10479-021-04191-0">https://doi.org/10.1007/s10479-021-04191-0</a>
  bibtex: '@article{Khalili-Damghani_Tavana_Ghasemi_2022, title={A stochastic bi-objective
    simulation–optimization model for cascade disaster location-allocation-distribution
    problems}, volume={309}, DOI={<a href="https://doi.org/10.1007/s10479-021-04191-0">10.1007/s10479-021-04191-0</a>},
    number={1}, journal={Annals of Operations Research}, publisher={Springer Science
    and Business Media LLC}, author={Khalili-Damghani, Kaveh and Tavana, Madjid and
    Ghasemi, Peiman}, year={2022}, pages={103–141} }'
  chicago: 'Khalili-Damghani, Kaveh, Madjid Tavana, and Peiman Ghasemi. “A Stochastic
    Bi-Objective Simulation–Optimization Model for Cascade Disaster Location-Allocation-Distribution
    Problems.” <i>Annals of Operations Research</i> 309, no. 1 (2022): 103–41. <a
    href="https://doi.org/10.1007/s10479-021-04191-0">https://doi.org/10.1007/s10479-021-04191-0</a>.'
  ieee: 'K. Khalili-Damghani, M. Tavana, and P. Ghasemi, “A stochastic bi-objective
    simulation–optimization model for cascade disaster location-allocation-distribution
    problems,” <i>Annals of Operations Research</i>, vol. 309, no. 1, pp. 103–141,
    2022, doi: <a href="https://doi.org/10.1007/s10479-021-04191-0">10.1007/s10479-021-04191-0</a>.'
  mla: Khalili-Damghani, Kaveh, et al. “A Stochastic Bi-Objective Simulation–Optimization
    Model for Cascade Disaster Location-Allocation-Distribution Problems.” <i>Annals
    of Operations Research</i>, vol. 309, no. 1, Springer Science and Business Media
    LLC, 2022, pp. 103–41, doi:<a href="https://doi.org/10.1007/s10479-021-04191-0">10.1007/s10479-021-04191-0</a>.
  short: K. Khalili-Damghani, M. Tavana, P. Ghasemi, Annals of Operations Research
    309 (2022) 103–141.
date_created: 2024-04-04T15:52:05Z
date_updated: 2024-04-15T13:17:18Z
department:
- _id: '277'
doi: 10.1007/s10479-021-04191-0
intvolume: '       309'
issue: '1'
keyword:
- Management Science and Operations Research
- General Decision Sciences
language:
- iso: eng
page: 103-141
publication: Annals of Operations Research
publication_identifier:
  issn:
  - 0254-5330
  - 1572-9338
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A stochastic bi-objective simulation–optimization model for cascade disaster
  location-allocation-distribution problems
type: journal_article
user_id: '51811'
volume: 309
year: '2022'
...
---
_id: '53236'
article_number: '117188'
author:
- first_name: Madjid
  full_name: Tavana, Madjid
  id: '31858'
  last_name: Tavana
- first_name: Akram
  full_name: Shaabani, Akram
  last_name: Shaabani
- first_name: Debora
  full_name: Di Caprio, Debora
  last_name: Di Caprio
- first_name: Abbas
  full_name: Bonyani, Abbas
  last_name: Bonyani
citation:
  ama: Tavana M, Shaabani A, Di Caprio D, Bonyani A. A novel Interval Type-2 Fuzzy
    best-worst method and combined compromise solution for evaluating eco-friendly
    packaging alternatives. <i>Expert Systems with Applications</i>. 2022;200. doi:<a
    href="https://doi.org/10.1016/j.eswa.2022.117188">10.1016/j.eswa.2022.117188</a>
  apa: Tavana, M., Shaabani, A., Di Caprio, D., &#38; Bonyani, A. (2022). A novel
    Interval Type-2 Fuzzy best-worst method and combined compromise solution for evaluating
    eco-friendly packaging alternatives. <i>Expert Systems with Applications</i>,
    <i>200</i>, Article 117188. <a href="https://doi.org/10.1016/j.eswa.2022.117188">https://doi.org/10.1016/j.eswa.2022.117188</a>
  bibtex: '@article{Tavana_Shaabani_Di Caprio_Bonyani_2022, title={A novel Interval
    Type-2 Fuzzy best-worst method and combined compromise solution for evaluating
    eco-friendly packaging alternatives}, volume={200}, DOI={<a href="https://doi.org/10.1016/j.eswa.2022.117188">10.1016/j.eswa.2022.117188</a>},
    number={117188}, journal={Expert Systems with Applications}, publisher={Elsevier
    BV}, author={Tavana, Madjid and Shaabani, Akram and Di Caprio, Debora and Bonyani,
    Abbas}, year={2022} }'
  chicago: Tavana, Madjid, Akram Shaabani, Debora Di Caprio, and Abbas Bonyani. “A
    Novel Interval Type-2 Fuzzy Best-Worst Method and Combined Compromise Solution
    for Evaluating Eco-Friendly Packaging Alternatives.” <i>Expert Systems with Applications</i>
    200 (2022). <a href="https://doi.org/10.1016/j.eswa.2022.117188">https://doi.org/10.1016/j.eswa.2022.117188</a>.
  ieee: 'M. Tavana, A. Shaabani, D. Di Caprio, and A. Bonyani, “A novel Interval Type-2
    Fuzzy best-worst method and combined compromise solution for evaluating eco-friendly
    packaging alternatives,” <i>Expert Systems with Applications</i>, vol. 200, Art.
    no. 117188, 2022, doi: <a href="https://doi.org/10.1016/j.eswa.2022.117188">10.1016/j.eswa.2022.117188</a>.'
  mla: Tavana, Madjid, et al. “A Novel Interval Type-2 Fuzzy Best-Worst Method and
    Combined Compromise Solution for Evaluating Eco-Friendly Packaging Alternatives.”
    <i>Expert Systems with Applications</i>, vol. 200, 117188, Elsevier BV, 2022,
    doi:<a href="https://doi.org/10.1016/j.eswa.2022.117188">10.1016/j.eswa.2022.117188</a>.
  short: M. Tavana, A. Shaabani, D. Di Caprio, A. Bonyani, Expert Systems with Applications
    200 (2022).
date_created: 2024-04-04T15:48:46Z
date_updated: 2024-04-15T13:16:05Z
department:
- _id: '277'
doi: 10.1016/j.eswa.2022.117188
intvolume: '       200'
keyword:
- Artificial Intelligence
- Computer Science Applications
- General Engineering
language:
- iso: eng
publication: Expert Systems with Applications
publication_identifier:
  issn:
  - 0957-4174
publication_status: published
publisher: Elsevier BV
status: public
title: A novel Interval Type-2 Fuzzy best-worst method and combined compromise solution
  for evaluating eco-friendly packaging alternatives
type: journal_article
user_id: '51811'
volume: 200
year: '2022'
...
---
_id: '53237'
article_number: '129777'
author:
- first_name: Madjid
  full_name: Tavana, Madjid
  id: '31858'
  last_name: Tavana
- first_name: Hadi
  full_name: Kian, Hadi
  last_name: Kian
- first_name: Arash Khalili
  full_name: Nasr, Arash Khalili
  last_name: Nasr
- first_name: Kannan
  full_name: Govindan, Kannan
  last_name: Govindan
- first_name: Hassan
  full_name: Mina, Hassan
  last_name: Mina
citation:
  ama: Tavana M, Kian H, Nasr AK, Govindan K, Mina H. A comprehensive framework for
    sustainable closed-loop supply chain network design. <i>Journal of Cleaner Production</i>.
    2022;332. doi:<a href="https://doi.org/10.1016/j.jclepro.2021.129777">10.1016/j.jclepro.2021.129777</a>
  apa: Tavana, M., Kian, H., Nasr, A. K., Govindan, K., &#38; Mina, H. (2022). A comprehensive
    framework for sustainable closed-loop supply chain network design. <i>Journal
    of Cleaner Production</i>, <i>332</i>, Article 129777. <a href="https://doi.org/10.1016/j.jclepro.2021.129777">https://doi.org/10.1016/j.jclepro.2021.129777</a>
  bibtex: '@article{Tavana_Kian_Nasr_Govindan_Mina_2022, title={A comprehensive framework
    for sustainable closed-loop supply chain network design}, volume={332}, DOI={<a
    href="https://doi.org/10.1016/j.jclepro.2021.129777">10.1016/j.jclepro.2021.129777</a>},
    number={129777}, journal={Journal of Cleaner Production}, publisher={Elsevier
    BV}, author={Tavana, Madjid and Kian, Hadi and Nasr, Arash Khalili and Govindan,
    Kannan and Mina, Hassan}, year={2022} }'
  chicago: Tavana, Madjid, Hadi Kian, Arash Khalili Nasr, Kannan Govindan, and Hassan
    Mina. “A Comprehensive Framework for Sustainable Closed-Loop Supply Chain Network
    Design.” <i>Journal of Cleaner Production</i> 332 (2022). <a href="https://doi.org/10.1016/j.jclepro.2021.129777">https://doi.org/10.1016/j.jclepro.2021.129777</a>.
  ieee: 'M. Tavana, H. Kian, A. K. Nasr, K. Govindan, and H. Mina, “A comprehensive
    framework for sustainable closed-loop supply chain network design,” <i>Journal
    of Cleaner Production</i>, vol. 332, Art. no. 129777, 2022, doi: <a href="https://doi.org/10.1016/j.jclepro.2021.129777">10.1016/j.jclepro.2021.129777</a>.'
  mla: Tavana, Madjid, et al. “A Comprehensive Framework for Sustainable Closed-Loop
    Supply Chain Network Design.” <i>Journal of Cleaner Production</i>, vol. 332,
    129777, Elsevier BV, 2022, doi:<a href="https://doi.org/10.1016/j.jclepro.2021.129777">10.1016/j.jclepro.2021.129777</a>.
  short: M. Tavana, H. Kian, A.K. Nasr, K. Govindan, H. Mina, Journal of Cleaner Production
    332 (2022).
date_created: 2024-04-04T15:49:44Z
date_updated: 2024-04-15T13:16:19Z
department:
- _id: '277'
doi: 10.1016/j.jclepro.2021.129777
intvolume: '       332'
keyword:
- Industrial and Manufacturing Engineering
- Strategy and Management
- General Environmental Science
- Renewable Energy
- Sustainability and the Environment
language:
- iso: eng
publication: Journal of Cleaner Production
publication_identifier:
  issn:
  - 0959-6526
publication_status: published
publisher: Elsevier BV
status: public
title: A comprehensive framework for sustainable closed-loop supply chain network
  design
type: journal_article
user_id: '51811'
volume: 332
year: '2022'
...
---
_id: '53239'
author:
- first_name: Madjid
  full_name: Tavana, Madjid
  id: '31858'
  last_name: Tavana
- first_name: Mohsen
  full_name: Ghasrikhouzani, Mohsen
  last_name: Ghasrikhouzani
- first_name: Amir-Reza
  full_name: Abtahi, Amir-Reza
  last_name: Abtahi
citation:
  ama: Tavana M, Ghasrikhouzani M, Abtahi A-R. A technology development framework
    for scenario planning and futures studies using causal modeling. <i>Technology
    Analysis &#38; Strategic Management</i>. 2022;34(8):859-875. doi:<a href="https://doi.org/10.1080/09537325.2021.1931672">10.1080/09537325.2021.1931672</a>
  apa: Tavana, M., Ghasrikhouzani, M., &#38; Abtahi, A.-R. (2022). A technology development
    framework for scenario planning and futures studies using causal modeling. <i>Technology
    Analysis &#38; Strategic Management</i>, <i>34</i>(8), 859–875. <a href="https://doi.org/10.1080/09537325.2021.1931672">https://doi.org/10.1080/09537325.2021.1931672</a>
  bibtex: '@article{Tavana_Ghasrikhouzani_Abtahi_2022, title={A technology development
    framework for scenario planning and futures studies using causal modeling}, volume={34},
    DOI={<a href="https://doi.org/10.1080/09537325.2021.1931672">10.1080/09537325.2021.1931672</a>},
    number={8}, journal={Technology Analysis &#38; Strategic Management}, publisher={Informa
    UK Limited}, author={Tavana, Madjid and Ghasrikhouzani, Mohsen and Abtahi, Amir-Reza},
    year={2022}, pages={859–875} }'
  chicago: 'Tavana, Madjid, Mohsen Ghasrikhouzani, and Amir-Reza Abtahi. “A Technology
    Development Framework for Scenario Planning and Futures Studies Using Causal Modeling.”
    <i>Technology Analysis &#38; Strategic Management</i> 34, no. 8 (2022): 859–75.
    <a href="https://doi.org/10.1080/09537325.2021.1931672">https://doi.org/10.1080/09537325.2021.1931672</a>.'
  ieee: 'M. Tavana, M. Ghasrikhouzani, and A.-R. Abtahi, “A technology development
    framework for scenario planning and futures studies using causal modeling,” <i>Technology
    Analysis &#38; Strategic Management</i>, vol. 34, no. 8, pp. 859–875, 2022, doi:
    <a href="https://doi.org/10.1080/09537325.2021.1931672">10.1080/09537325.2021.1931672</a>.'
  mla: Tavana, Madjid, et al. “A Technology Development Framework for Scenario Planning
    and Futures Studies Using Causal Modeling.” <i>Technology Analysis &#38; Strategic
    Management</i>, vol. 34, no. 8, Informa UK Limited, 2022, pp. 859–75, doi:<a href="https://doi.org/10.1080/09537325.2021.1931672">10.1080/09537325.2021.1931672</a>.
  short: M. Tavana, M. Ghasrikhouzani, A.-R. Abtahi, Technology Analysis &#38; Strategic
    Management 34 (2022) 859–875.
date_created: 2024-04-04T15:50:50Z
date_updated: 2024-04-15T13:16:53Z
department:
- _id: '277'
doi: 10.1080/09537325.2021.1931672
intvolume: '        34'
issue: '8'
keyword:
- Management Science and Operations Research
- Strategy and Management
language:
- iso: eng
page: 859-875
publication: Technology Analysis & Strategic Management
publication_identifier:
  issn:
  - 0953-7325
  - 1465-3990
publication_status: published
publisher: Informa UK Limited
status: public
title: A technology development framework for scenario planning and futures studies
  using causal modeling
type: journal_article
user_id: '51811'
volume: 34
year: '2022'
...
---
_id: '53242'
article_number: '130409'
author:
- first_name: Ali
  full_name: Ebadi Torkayesh, Ali
  last_name: Ebadi Torkayesh
- first_name: Madjid
  full_name: Tavana, Madjid
  id: '31858'
  last_name: Tavana
- first_name: Francisco J.
  full_name: Santos-Arteaga, Francisco J.
  last_name: Santos-Arteaga
citation:
  ama: Ebadi Torkayesh A, Tavana M, Santos-Arteaga FJ. A multi-distance interval-valued
    neutrosophic approach for social failure detection in sustainable municipal waste
    management. <i>Journal of Cleaner Production</i>. 2022;336. doi:<a href="https://doi.org/10.1016/j.jclepro.2022.130409">10.1016/j.jclepro.2022.130409</a>
  apa: Ebadi Torkayesh, A., Tavana, M., &#38; Santos-Arteaga, F. J. (2022). A multi-distance
    interval-valued neutrosophic approach for social failure detection in sustainable
    municipal waste management. <i>Journal of Cleaner Production</i>, <i>336</i>,
    Article 130409. <a href="https://doi.org/10.1016/j.jclepro.2022.130409">https://doi.org/10.1016/j.jclepro.2022.130409</a>
  bibtex: '@article{Ebadi Torkayesh_Tavana_Santos-Arteaga_2022, title={A multi-distance
    interval-valued neutrosophic approach for social failure detection in sustainable
    municipal waste management}, volume={336}, DOI={<a href="https://doi.org/10.1016/j.jclepro.2022.130409">10.1016/j.jclepro.2022.130409</a>},
    number={130409}, journal={Journal of Cleaner Production}, publisher={Elsevier
    BV}, author={Ebadi Torkayesh, Ali and Tavana, Madjid and Santos-Arteaga, Francisco
    J.}, year={2022} }'
  chicago: Ebadi Torkayesh, Ali, Madjid Tavana, and Francisco J. Santos-Arteaga. “A
    Multi-Distance Interval-Valued Neutrosophic Approach for Social Failure Detection
    in Sustainable Municipal Waste Management.” <i>Journal of Cleaner Production</i>
    336 (2022). <a href="https://doi.org/10.1016/j.jclepro.2022.130409">https://doi.org/10.1016/j.jclepro.2022.130409</a>.
  ieee: 'A. Ebadi Torkayesh, M. Tavana, and F. J. Santos-Arteaga, “A multi-distance
    interval-valued neutrosophic approach for social failure detection in sustainable
    municipal waste management,” <i>Journal of Cleaner Production</i>, vol. 336, Art.
    no. 130409, 2022, doi: <a href="https://doi.org/10.1016/j.jclepro.2022.130409">10.1016/j.jclepro.2022.130409</a>.'
  mla: Ebadi Torkayesh, Ali, et al. “A Multi-Distance Interval-Valued Neutrosophic
    Approach for Social Failure Detection in Sustainable Municipal Waste Management.”
    <i>Journal of Cleaner Production</i>, vol. 336, 130409, Elsevier BV, 2022, doi:<a
    href="https://doi.org/10.1016/j.jclepro.2022.130409">10.1016/j.jclepro.2022.130409</a>.
  short: A. Ebadi Torkayesh, M. Tavana, F.J. Santos-Arteaga, Journal of Cleaner Production
    336 (2022).
date_created: 2024-04-04T15:52:48Z
date_updated: 2024-04-15T13:17:34Z
department:
- _id: '277'
doi: 10.1016/j.jclepro.2022.130409
intvolume: '       336'
keyword:
- Industrial and Manufacturing Engineering
- Strategy and Management
- General Environmental Science
- Renewable Energy
- Sustainability and the Environment
- Building and Construction
language:
- iso: eng
publication: Journal of Cleaner Production
publication_identifier:
  issn:
  - 0959-6526
publication_status: published
publisher: Elsevier BV
status: public
title: A multi-distance interval-valued neutrosophic approach for social failure detection
  in sustainable municipal waste management
type: journal_article
user_id: '51811'
volume: 336
year: '2022'
...
