---
_id: '53345'
abstract:
- lang: eng
text: 'AbstractA no-flux initial-boundary value
problem forut=Δ(uϕ(v)),vt=Δv−uv,(⋆)is considered
in smoothly bounded subdomains ofRnwithn⩾1and suitably regular initial data, whereφis
assumed to reflect algebraic type cross-degeneracies by sharing essential features
with0⩽ξ↦ξαfor someα⩾1. Based on the discovery of a gradient structure acting
at regularity levels mild enough to be consistent with degeneracy-driven limitations
of smoothness information, in this general setting it is shown that with some
measurable limit profileu∞and
some null setN⋆⊂(0,∞),
a corresponding global generalized solution, known to exist according to recent
literature, satisfiesρ(u(⋅,t))⇀⋆ρ(u∞)in L∞(Ω) and v(⋅,t)→0in Lp(Ω)for
all p⩾1as(0,∞)∖N⋆∋t→∞, whereρ(ξ):=ξ2(ξ+1)2,ξ⩾0. In the particular case when eithern⩽2andα⩾1is arbitrary, orn⩾1andα∈[1,2],
additional quantitative information on the deviation of trajectories from the
initial data is derived. This is found to imply a lower estimate for the spatial
oscillation of the respective first components throughout evolution, and moreover
this is seen to entail that each of the uncountably many steady states(u⋆,0)of
(⋆) is stable with respect to a suitably chosen norm topology.'
author:
- first_name: Michael
full_name: Winkler, Michael
last_name: Winkler
citation:
ama: Winkler M. Stabilization despite pervasive strong cross-degeneracies in a nonlinear
diffusion model for migration–consumption interaction. Nonlinearity. 2023;36(8):4438-4469.
doi:10.1088/1361-6544/ace22e
apa: Winkler, M. (2023). Stabilization despite pervasive strong cross-degeneracies
in a nonlinear diffusion model for migration–consumption interaction. Nonlinearity,
36(8), 4438–4469. https://doi.org/10.1088/1361-6544/ace22e
bibtex: '@article{Winkler_2023, title={Stabilization despite pervasive strong cross-degeneracies
in a nonlinear diffusion model for migration–consumption interaction}, volume={36},
DOI={10.1088/1361-6544/ace22e},
number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Winkler,
Michael}, year={2023}, pages={4438–4469} }'
chicago: 'Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies
in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” Nonlinearity
36, no. 8 (2023): 4438–69. https://doi.org/10.1088/1361-6544/ace22e.'
ieee: 'M. Winkler, “Stabilization despite pervasive strong cross-degeneracies in
a nonlinear diffusion model for migration–consumption interaction,” Nonlinearity,
vol. 36, no. 8, pp. 4438–4469, 2023, doi: 10.1088/1361-6544/ace22e.'
mla: Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies
in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” Nonlinearity,
vol. 36, no. 8, IOP Publishing, 2023, pp. 4438–69, doi:10.1088/1361-6544/ace22e.
short: M. Winkler, Nonlinearity 36 (2023) 4438–4469.
date_created: 2024-04-07T12:56:35Z
date_updated: 2024-04-07T12:56:40Z
doi: 10.1088/1361-6544/ace22e
intvolume: ' 36'
issue: '8'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 4438-4469
publication: Nonlinearity
publication_identifier:
issn:
- 0951-7715
- 1361-6544
publication_status: published
publisher: IOP Publishing
status: public
title: Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion
model for migration–consumption interaction
type: journal_article
user_id: '31496'
volume: 36
year: '2023'
...
---
_id: '53341'
abstract:
- lang: eng
text: "AbstractThe Cauchy problem in $$\\mathbb
{R}^n$$\r\n
\ \r\n \r\n R\r\n
\ \r\n n\r\n
\ \r\n
is considered for the Keller–Segel system $$\\begin{aligned}
\\left\\{ \\begin{array}{l}u_t = \\Delta u - \\nabla \\cdot (u\\nabla v), \\\\
0 = \\Delta v + u, \\end{array} \\right. \\qquad \\qquad (\\star ) \\end{aligned}$$\r\n \r\n
\ \r\n \r\n \r\n
\ \r\n \r\n
\ \r\n \r\n
\ \r\n \r\n
\ \r\n \r\n
\ u\r\n t\r\n
\ \r\n =\r\n
\ Δ\r\n u\r\n
\ -\r\n ∇\r\n
\ ·\r\n \r\n
\ (\r\n u\r\n
\ ∇\r\n v\r\n
\ )\r\n \r\n
\ ,\r\n \r\n
\ \r\n \r\n
\ \r\n \r\n
\ \r\n \r\n 0\r\n =\r\n
\ Δ\r\n v\r\n
\ +\r\n u\r\n
\ ,\r\n \r\n
\ \r\n \r\n
\ \r\n \r\n
\ \r\n \r\n \r\n \r\n
\ (\r\n ⋆\r\n
\ )\r\n \r\n
\ \r\n \r\n
\ \r\n \r\n \r\n
\ with a focus
on a detailed description of behavior in the presence of nonnegative radially
symmetric initial data $$u_0$$\r\n \r\n
\ u\r\n 0\r\n
\ \r\n
with non-integrable behavior at spatial infinity. It is shown that if $$u_0$$\r\n \r\n
\ u\r\n 0\r\n
\ \r\n
is continuous and bounded, then ($$\\star
$$\r\n
\ ⋆\r\n )
admits a local-in-time classical solution, whereas if $$u_0(x)\\rightarrow
+\\infty $$\r\n
\ \r\n \r\n u\r\n
\ 0\r\n \r\n
\ \r\n (\r\n
\ x\r\n )\r\n
\ \r\n →\r\n
\ +\r\n ∞\r\n
\ \r\n
as $$|x|\\rightarrow \\infty
$$\r\n
\ \r\n |\r\n x\r\n
\ |\r\n →\r\n
\ ∞\r\n \r\n ,
then no such solution can be found. Furthermore, a collection of three sufficient
criteria for either global existence or global nonexistence indicates that with
respect to the occurrence of finite-time blow-up, spatial decay properties of
an explicit singular steady state plays a critical role. In particular, this underlines
that explosions in ($$\\star
$$\r\n
\ ⋆\r\n )
need not be enforced by initially high concentrations near finite points, but
can be exclusively due to large tails."
author:
- first_name: Michael
full_name: Winkler, Michael
last_name: Winkler
citation:
ama: Winkler M. Solutions to the Keller–Segel system with non-integrable behavior
at spatial infinity. Journal of Elliptic and Parabolic Equations. 2023;9(2):919-959.
doi:10.1007/s41808-023-00230-y
apa: Winkler, M. (2023). Solutions to the Keller–Segel system with non-integrable
behavior at spatial infinity. Journal of Elliptic and Parabolic Equations,
9(2), 919–959. https://doi.org/10.1007/s41808-023-00230-y
bibtex: '@article{Winkler_2023, title={Solutions to the Keller–Segel system with
non-integrable behavior at spatial infinity}, volume={9}, DOI={10.1007/s41808-023-00230-y},
number={2}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer
Science and Business Media LLC}, author={Winkler, Michael}, year={2023}, pages={919–959}
}'
chicago: 'Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable
Behavior at Spatial Infinity.” Journal of Elliptic and Parabolic Equations
9, no. 2 (2023): 919–59. https://doi.org/10.1007/s41808-023-00230-y.'
ieee: 'M. Winkler, “Solutions to the Keller–Segel system with non-integrable behavior
at spatial infinity,” Journal of Elliptic and Parabolic Equations, vol.
9, no. 2, pp. 919–959, 2023, doi: 10.1007/s41808-023-00230-y.'
mla: Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable
Behavior at Spatial Infinity.” Journal of Elliptic and Parabolic Equations,
vol. 9, no. 2, Springer Science and Business Media LLC, 2023, pp. 919–59, doi:10.1007/s41808-023-00230-y.
short: M. Winkler, Journal of Elliptic and Parabolic Equations 9 (2023) 919–959.
date_created: 2024-04-07T12:52:52Z
date_updated: 2024-04-07T12:52:55Z
doi: 10.1007/s41808-023-00230-y
intvolume: ' 9'
issue: '2'
keyword:
- Applied Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 919-959
publication: Journal of Elliptic and Parabolic Equations
publication_identifier:
issn:
- 2296-9020
- 2296-9039
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Solutions to the Keller–Segel system with non-integrable behavior at spatial
infinity
type: journal_article
user_id: '31496'
volume: 9
year: '2023'
...
---
_id: '53340'
author:
- first_name: Kevin J.
full_name: Painter, Kevin J.
last_name: Painter
- first_name: Michael
full_name: Winkler, Michael
last_name: Winkler
citation:
ama: Painter KJ, Winkler M. Phenotype Switching in Chemotaxis Aggregation Models
Controls the Spontaneous Emergence of Large Densities. SIAM Journal on Applied
Mathematics. 2023;83(5):2096-2117. doi:10.1137/22m1539393
apa: Painter, K. J., & Winkler, M. (2023). Phenotype Switching in Chemotaxis
Aggregation Models Controls the Spontaneous Emergence of Large Densities. SIAM
Journal on Applied Mathematics, 83(5), 2096–2117. https://doi.org/10.1137/22m1539393
bibtex: '@article{Painter_Winkler_2023, title={Phenotype Switching in Chemotaxis
Aggregation Models Controls the Spontaneous Emergence of Large Densities}, volume={83},
DOI={10.1137/22m1539393}, number={5},
journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial
& Applied Mathematics (SIAM)}, author={Painter, Kevin J. and Winkler, Michael},
year={2023}, pages={2096–2117} }'
chicago: 'Painter, Kevin J., and Michael Winkler. “Phenotype Switching in Chemotaxis
Aggregation Models Controls the Spontaneous Emergence of Large Densities.” SIAM
Journal on Applied Mathematics 83, no. 5 (2023): 2096–2117. https://doi.org/10.1137/22m1539393.'
ieee: 'K. J. Painter and M. Winkler, “Phenotype Switching in Chemotaxis Aggregation
Models Controls the Spontaneous Emergence of Large Densities,” SIAM Journal
on Applied Mathematics, vol. 83, no. 5, pp. 2096–2117, 2023, doi: 10.1137/22m1539393.'
mla: Painter, Kevin J., and Michael Winkler. “Phenotype Switching in Chemotaxis
Aggregation Models Controls the Spontaneous Emergence of Large Densities.” SIAM
Journal on Applied Mathematics, vol. 83, no. 5, Society for Industrial &
Applied Mathematics (SIAM), 2023, pp. 2096–117, doi:10.1137/22m1539393.
short: K.J. Painter, M. Winkler, SIAM Journal on Applied Mathematics 83 (2023) 2096–2117.
date_created: 2024-04-07T12:52:03Z
date_updated: 2024-04-07T12:52:06Z
doi: 10.1137/22m1539393
intvolume: ' 83'
issue: '5'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 2096-2117
publication: SIAM Journal on Applied Mathematics
publication_identifier:
issn:
- 0036-1399
- 1095-712X
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous
Emergence of Large Densities
type: journal_article
user_id: '31496'
volume: 83
year: '2023'
...
---
_id: '53342'
author:
- first_name: Michael
full_name: Winkler, Michael
last_name: Winkler
- first_name: Tomomi
full_name: Yokota, Tomomi
last_name: Yokota
citation:
ama: Winkler M, Yokota T. Avoiding critical mass phenomena by arbitrarily mild saturation
of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems.
Journal of Differential Equations. 2023;374:1-28. doi:10.1016/j.jde.2023.07.029
apa: Winkler, M., & Yokota, T. (2023). Avoiding critical mass phenomena by arbitrarily
mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes
systems. Journal of Differential Equations, 374, 1–28. https://doi.org/10.1016/j.jde.2023.07.029
bibtex: '@article{Winkler_Yokota_2023, title={Avoiding critical mass phenomena by
arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes
systems}, volume={374}, DOI={10.1016/j.jde.2023.07.029},
journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler,
Michael and Yokota, Tomomi}, year={2023}, pages={1–28} }'
chicago: 'Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena
by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes
Systems.” Journal of Differential Equations 374 (2023): 1–28. https://doi.org/10.1016/j.jde.2023.07.029.'
ieee: 'M. Winkler and T. Yokota, “Avoiding critical mass phenomena by arbitrarily
mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes
systems,” Journal of Differential Equations, vol. 374, pp. 1–28, 2023,
doi: 10.1016/j.jde.2023.07.029.'
mla: Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily
Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes
Systems.” Journal of Differential Equations, vol. 374, Elsevier BV, 2023,
pp. 1–28, doi:10.1016/j.jde.2023.07.029.
short: M. Winkler, T. Yokota, Journal of Differential Equations 374 (2023) 1–28.
date_created: 2024-04-07T12:53:32Z
date_updated: 2024-04-07T12:53:38Z
doi: 10.1016/j.jde.2023.07.029
intvolume: ' 374'
keyword:
- Analysis
- Applied Mathematics
language:
- iso: eng
page: 1-28
publication: Journal of Differential Equations
publication_identifier:
issn:
- 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive
fluxes in two-dimensional Keller-Segel-Navier-Stokes systems
type: journal_article
user_id: '31496'
volume: 374
year: '2023'
...
---
_id: '53346'
author:
- first_name: Michael
full_name: Winkler, Michael
last_name: Winkler
citation:
ama: Winkler M. Absence of collapse into persistent Dirac-type singularities in
a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential
Equations. 2023;28(11/12). doi:10.57262/ade028-1112-921
apa: Winkler, M. (2023). Absence of collapse into persistent Dirac-type singularities
in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in
Differential Equations, 28(11/12). https://doi.org/10.57262/ade028-1112-921
bibtex: '@article{Winkler_2023, title={Absence of collapse into persistent Dirac-type
singularities in a Keller-Segel-Navier-Stokes system involving local sensing},
volume={28}, DOI={10.57262/ade028-1112-921},
number={11/12}, journal={Advances in Differential Equations}, publisher={Khayyam
Publishing, Inc}, author={Winkler, Michael}, year={2023} }'
chicago: Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities
in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” Advances in
Differential Equations 28, no. 11/12 (2023). https://doi.org/10.57262/ade028-1112-921.
ieee: 'M. Winkler, “Absence of collapse into persistent Dirac-type singularities
in a Keller-Segel-Navier-Stokes system involving local sensing,” Advances in
Differential Equations, vol. 28, no. 11/12, 2023, doi: 10.57262/ade028-1112-921.'
mla: Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities
in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” Advances in
Differential Equations, vol. 28, no. 11/12, Khayyam Publishing, Inc, 2023,
doi:10.57262/ade028-1112-921.
short: M. Winkler, Advances in Differential Equations 28 (2023).
date_created: 2024-04-07T12:57:19Z
date_updated: 2024-04-07T12:57:23Z
doi: 10.57262/ade028-1112-921
intvolume: ' 28'
issue: 11/12
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
publication: Advances in Differential Equations
publication_identifier:
issn:
- 1079-9389
publication_status: published
publisher: Khayyam Publishing, Inc
status: public
title: Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes
system involving local sensing
type: journal_article
user_id: '31496'
volume: 28
year: '2023'
...
---
_id: '53229'
author:
- first_name: Francisco J.
full_name: Santos-Arteaga, Francisco J.
last_name: Santos-Arteaga
- first_name: Debora
full_name: Di Caprio, Debora
last_name: Di Caprio
- first_name: Madjid
full_name: Tavana, Madjid
id: '31858'
last_name: Tavana
- first_name: Emilio Cerda
full_name: Tena, Emilio Cerda
last_name: Tena
citation:
ama: Santos-Arteaga FJ, Di Caprio D, Tavana M, Tena EC. A Credibility and Strategic
Behavior Approach in Hesitant Multiple Criteria Decision-Making With Application
to Sustainable Transportation. IEEE Transactions on Fuzzy Systems. 2023;31(2):460-474.
doi:10.1109/tfuzz.2022.3188875
apa: Santos-Arteaga, F. J., Di Caprio, D., Tavana, M., & Tena, E. C. (2023).
A Credibility and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making
With Application to Sustainable Transportation. IEEE Transactions on Fuzzy
Systems, 31(2), 460–474. https://doi.org/10.1109/tfuzz.2022.3188875
bibtex: '@article{Santos-Arteaga_Di Caprio_Tavana_Tena_2023, title={A Credibility
and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making
With Application to Sustainable Transportation}, volume={31}, DOI={10.1109/tfuzz.2022.3188875},
number={2}, journal={IEEE Transactions on Fuzzy Systems}, publisher={Institute
of Electrical and Electronics Engineers (IEEE)}, author={Santos-Arteaga, Francisco
J. and Di Caprio, Debora and Tavana, Madjid and Tena, Emilio Cerda}, year={2023},
pages={460–474} }'
chicago: 'Santos-Arteaga, Francisco J., Debora Di Caprio, Madjid Tavana, and Emilio
Cerda Tena. “A Credibility and Strategic Behavior Approach in Hesitant Multiple
Criteria Decision-Making With Application to Sustainable Transportation.” IEEE
Transactions on Fuzzy Systems 31, no. 2 (2023): 460–74. https://doi.org/10.1109/tfuzz.2022.3188875.'
ieee: 'F. J. Santos-Arteaga, D. Di Caprio, M. Tavana, and E. C. Tena, “A Credibility
and Strategic Behavior Approach in Hesitant Multiple Criteria Decision-Making
With Application to Sustainable Transportation,” IEEE Transactions on Fuzzy
Systems, vol. 31, no. 2, pp. 460–474, 2023, doi: 10.1109/tfuzz.2022.3188875.'
mla: Santos-Arteaga, Francisco J., et al. “A Credibility and Strategic Behavior
Approach in Hesitant Multiple Criteria Decision-Making With Application to Sustainable
Transportation.” IEEE Transactions on Fuzzy Systems, vol. 31, no. 2, Institute
of Electrical and Electronics Engineers (IEEE), 2023, pp. 460–74, doi:10.1109/tfuzz.2022.3188875.
short: F.J. Santos-Arteaga, D. Di Caprio, M. Tavana, E.C. Tena, IEEE Transactions
on Fuzzy Systems 31 (2023) 460–474.
date_created: 2024-04-04T14:00:53Z
date_updated: 2024-04-15T13:15:07Z
department:
- _id: '277'
doi: 10.1109/tfuzz.2022.3188875
intvolume: ' 31'
issue: '2'
keyword:
- Applied Mathematics
- Artificial Intelligence
- Computational Theory and Mathematics
- Control and Systems Engineering
language:
- iso: eng
page: 460-474
publication: IEEE Transactions on Fuzzy Systems
publication_identifier:
issn:
- 1063-6706
- 1941-0034
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: A Credibility and Strategic Behavior Approach in Hesitant Multiple Criteria
Decision-Making With Application to Sustainable Transportation
type: journal_article
user_id: '51811'
volume: 31
year: '2023'
...
---
_id: '53539'
abstract:
- lang: eng
text: "AbstractThe infinite Brownian loop on a
Riemannian manifold is the limit in distribution of the Brownian bridge of length
T around a fixed origin when $$T
\\rightarrow +\\infty $$\r\n
\ \r\n T\r\n →\r\n
\ +\r\n ∞\r\n
\ \r\n .
The aim of this note is to study its long-time asymptotics on Riemannian symmetric
spaces G/K of noncompact
type and of general rank. This amounts to the behavior of solutions to the heat
equation subject to the Doob transform induced by the ground spherical function.
Unlike the standard Brownian motion, we observe in this case phenomena which are
similar to the Euclidean setting, namely $$L^1$$\r\n \r\n
\ L\r\n 1\r\n
\ \r\n
asymptotic convergence without requiring bi-K-invariance
for initial data, and strong $$L^{\\infty
}$$\r\n
\ \r\n L\r\n ∞\r\n
\ \r\n
convergence."
author:
- first_name: Efthymia
full_name: Papageorgiou, Efthymia
id: '100325'
last_name: Papageorgiou
citation:
ama: Papageorgiou E. Asymptotics for the infinite Brownian loop on noncompact symmetric
spaces. Journal of Elliptic and Parabolic Equations. Published online 2023.
doi:10.1007/s41808-023-00250-8
apa: Papageorgiou, E. (2023). Asymptotics for the infinite Brownian loop on noncompact
symmetric spaces. Journal of Elliptic and Parabolic Equations. https://doi.org/10.1007/s41808-023-00250-8
bibtex: '@article{Papageorgiou_2023, title={Asymptotics for the infinite Brownian
loop on noncompact symmetric spaces}, DOI={10.1007/s41808-023-00250-8},
journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science
and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }'
chicago: Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on
Noncompact Symmetric Spaces.” Journal of Elliptic and Parabolic Equations,
2023. https://doi.org/10.1007/s41808-023-00250-8.
ieee: 'E. Papageorgiou, “Asymptotics for the infinite Brownian loop on noncompact
symmetric spaces,” Journal of Elliptic and Parabolic Equations, 2023, doi:
10.1007/s41808-023-00250-8.'
mla: Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact
Symmetric Spaces.” Journal of Elliptic and Parabolic Equations, Springer
Science and Business Media LLC, 2023, doi:10.1007/s41808-023-00250-8.
short: E. Papageorgiou, Journal of Elliptic and Parabolic Equations (2023).
date_created: 2024-04-17T13:16:39Z
date_updated: 2024-04-17T13:17:10Z
department:
- _id: '555'
doi: 10.1007/s41808-023-00250-8
keyword:
- Applied Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
publication: Journal of Elliptic and Parabolic Equations
publication_identifier:
issn:
- 2296-9020
- 2296-9039
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Asymptotics for the infinite Brownian loop on noncompact symmetric spaces
type: journal_article
user_id: '100325'
year: '2023'
...
---
_id: '43105'
article_number: '103868'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Mario
full_name: Fuest, Mario
last_name: Fuest
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Masaaki
full_name: Mizukami, Masaaki
last_name: Mizukami
citation:
ama: 'Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis
systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real
World Applications. 2023;73. doi:10.1016/j.nonrwa.2023.103868'
apa: 'Black, T., Fuest, M., Lankeit, J., & Mizukami, M. (2023). Possible points
of blow-up in chemotaxis systems with spatially heterogeneous logistic source.
Nonlinear Analysis: Real World Applications, 73, Article 103868.
https://doi.org/10.1016/j.nonrwa.2023.103868'
bibtex: '@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up
in chemotaxis systems with spatially heterogeneous logistic source}, volume={73},
DOI={10.1016/j.nonrwa.2023.103868},
number={103868}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
BV}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami,
Masaaki}, year={2023} }'
chicago: 'Black, Tobias, Mario Fuest, Johannes Lankeit, and Masaaki Mizukami. “Possible
Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic
Source.” Nonlinear Analysis: Real World Applications 73 (2023). https://doi.org/10.1016/j.nonrwa.2023.103868.'
ieee: 'T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up
in chemotaxis systems with spatially heterogeneous logistic source,” Nonlinear
Analysis: Real World Applications, vol. 73, Art. no. 103868, 2023, doi: 10.1016/j.nonrwa.2023.103868.'
mla: 'Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with
Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications,
vol. 73, 103868, Elsevier BV, 2023, doi:10.1016/j.nonrwa.2023.103868.'
short: 'T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World
Applications 73 (2023).'
date_created: 2023-03-27T07:25:58Z
date_updated: 2023-03-27T07:27:03Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.nonrwa.2023.103868
intvolume: ' 73'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Economics
- Econometrics and Finance
- General Engineering
- General Medicine
- Analysis
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
issn:
- 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Possible points of blow-up in chemotaxis systems with spatially heterogeneous
logistic source
type: journal_article
user_id: '23686'
volume: 73
year: '2023'
...
---
_id: '44077'
author:
- first_name: Marten
full_name: Maack, Marten
last_name: Maack
citation:
ama: Maack M. Online load balancing on uniform machines with limited migration.
Operations Research Letters. 2023;51(3):220-225. doi:10.1016/j.orl.2023.02.013
apa: Maack, M. (2023). Online load balancing on uniform machines with limited migration.
Operations Research Letters, 51(3), 220–225. https://doi.org/10.1016/j.orl.2023.02.013
bibtex: '@article{Maack_2023, title={Online load balancing on uniform machines with
limited migration}, volume={51}, DOI={10.1016/j.orl.2023.02.013},
number={3}, journal={Operations Research Letters}, publisher={Elsevier BV}, author={Maack,
Marten}, year={2023}, pages={220–225} }'
chicago: 'Maack, Marten. “Online Load Balancing on Uniform Machines with Limited
Migration.” Operations Research Letters 51, no. 3 (2023): 220–25. https://doi.org/10.1016/j.orl.2023.02.013.'
ieee: 'M. Maack, “Online load balancing on uniform machines with limited migration,”
Operations Research Letters, vol. 51, no. 3, pp. 220–225, 2023, doi: 10.1016/j.orl.2023.02.013.'
mla: Maack, Marten. “Online Load Balancing on Uniform Machines with Limited Migration.”
Operations Research Letters, vol. 51, no. 3, Elsevier BV, 2023, pp. 220–25,
doi:10.1016/j.orl.2023.02.013.
short: M. Maack, Operations Research Letters 51 (2023) 220–225.
date_created: 2023-04-20T08:59:14Z
date_updated: 2023-04-21T07:53:42Z
department:
- _id: '63'
doi: 10.1016/j.orl.2023.02.013
intvolume: ' 51'
issue: '3'
keyword:
- Applied Mathematics
- Industrial and Manufacturing Engineering
- Management Science and Operations Research
- Software
language:
- iso: eng
page: 220-225
project:
- _id: '1'
name: 'SFB 901: SFB 901'
- _id: '4'
name: 'SFB 901 - C: SFB 901 - Project Area C'
- _id: '16'
name: 'SFB 901 - C4: SFB 901 - Subproject C4'
publication: Operations Research Letters
publication_identifier:
issn:
- 0167-6377
publisher: Elsevier BV
status: public
title: Online load balancing on uniform machines with limited migration
type: journal_article
user_id: '88252'
volume: 51
year: '2023'
...
---
_id: '45757'
abstract:
- lang: eng
text: "AbstractThree prominent low order implicit
time integration schemes are the first order implicit Euler-method, the second
order trapezoidal rule and the second order Ellsiepen method. Its advantages are
stability and comparatively low computational cost, however, they require the
solution of a nonlinear system of equations. This paper presents a general approach
for the construction of third order Runge–Kutta methods by embedding the above
mentioned implicit schemes into the class of ELDIRK-methods. These will be defined
to have an Explicit Last stage in the general Butcher
array of Diagonal Implicit Runge–Kutta (DIRK) methods,
with the consequence, that no additional system of equations must be solved. The
main results—valid also for non-linear ordinary differential equations—are as
follows: Two extra function calculations are required in order to embed the implicit
Euler-method and one extra function calculation is required for the trapezoidal-rule
and the Ellsiepen method, in order to obtain the third order properties, respectively.
Two numerical examples are concerned with a parachute with viscous damping and
a two-dimensional laser beam simulation. Here, we verify the higher order convergence
behaviours of the proposed new ELDIRK-methods, and its successful performances
for asymptotically exact global error estimation of so-called reversed embedded
RK-method are shown.\r\n"
author:
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Mahnken R. Derivation of third order Runge–Kutta methods (ELDIRK) by embedding
of lower order implicit time integration schemes for local and global error estimation.
Computational Mechanics. Published online 2023. doi:10.1007/s00466-023-02347-2
apa: Mahnken, R. (2023). Derivation of third order Runge–Kutta methods (ELDIRK)
by embedding of lower order implicit time integration schemes for local and global
error estimation. Computational Mechanics. https://doi.org/10.1007/s00466-023-02347-2
bibtex: '@article{Mahnken_2023, title={Derivation of third order Runge–Kutta methods
(ELDIRK) by embedding of lower order implicit time integration schemes for local
and global error estimation}, DOI={10.1007/s00466-023-02347-2},
journal={Computational Mechanics}, publisher={Springer Science and Business Media
LLC}, author={Mahnken, Rolf}, year={2023} }'
chicago: Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK)
by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global
Error Estimation.” Computational Mechanics, 2023. https://doi.org/10.1007/s00466-023-02347-2.
ieee: 'R. Mahnken, “Derivation of third order Runge–Kutta methods (ELDIRK) by embedding
of lower order implicit time integration schemes for local and global error estimation,”
Computational Mechanics, 2023, doi: 10.1007/s00466-023-02347-2.'
mla: Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding
of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.”
Computational Mechanics, Springer Science and Business Media LLC, 2023,
doi:10.1007/s00466-023-02347-2.
short: R. Mahnken, Computational Mechanics (2023).
date_created: 2023-06-23T06:47:36Z
date_updated: 2023-06-23T06:48:42Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00466-023-02347-2
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
publication: Computational Mechanics
publication_identifier:
issn:
- 0178-7675
- 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower
order implicit time integration schemes for local and global error estimation
type: journal_article
user_id: '335'
year: '2023'
...
---
_id: '46100'
article_number: '127558'
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Daan W.
full_name: Janssen, Daan W.
last_name: Janssen
- first_name: Jobst
full_name: Ziebell, Jobst
last_name: Ziebell
citation:
ama: 'Hinrichs B, Janssen DW, Ziebell J. Super-Gaussian decay of exponentials: A
sufficient condition. Journal of Mathematical Analysis and Applications.
2023;528(1). doi:10.1016/j.jmaa.2023.127558'
apa: 'Hinrichs, B., Janssen, D. W., & Ziebell, J. (2023). Super-Gaussian decay
of exponentials: A sufficient condition. Journal of Mathematical Analysis and
Applications, 528(1), Article 127558. https://doi.org/10.1016/j.jmaa.2023.127558'
bibtex: '@article{Hinrichs_Janssen_Ziebell_2023, title={Super-Gaussian decay of
exponentials: A sufficient condition}, volume={528}, DOI={10.1016/j.jmaa.2023.127558},
number={1127558}, journal={Journal of Mathematical Analysis and Applications},
publisher={Elsevier BV}, author={Hinrichs, Benjamin and Janssen, Daan W. and Ziebell,
Jobst}, year={2023} }'
chicago: 'Hinrichs, Benjamin, Daan W. Janssen, and Jobst Ziebell. “Super-Gaussian
Decay of Exponentials: A Sufficient Condition.” Journal of Mathematical Analysis
and Applications 528, no. 1 (2023). https://doi.org/10.1016/j.jmaa.2023.127558.'
ieee: 'B. Hinrichs, D. W. Janssen, and J. Ziebell, “Super-Gaussian decay of exponentials:
A sufficient condition,” Journal of Mathematical Analysis and Applications,
vol. 528, no. 1, Art. no. 127558, 2023, doi: 10.1016/j.jmaa.2023.127558.'
mla: 'Hinrichs, Benjamin, et al. “Super-Gaussian Decay of Exponentials: A Sufficient
Condition.” Journal of Mathematical Analysis and Applications, vol. 528,
no. 1, 127558, Elsevier BV, 2023, doi:10.1016/j.jmaa.2023.127558.'
short: B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and
Applications 528 (2023).
date_created: 2023-07-20T05:08:49Z
date_updated: 2026-01-16T09:04:39Z
department:
- _id: '799'
doi: 10.1016/j.jmaa.2023.127558
external_id:
arxiv:
- '2205.09189'
intvolume: ' 528'
issue: '1'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
publication: Journal of Mathematical Analysis and Applications
publication_identifier:
issn:
- 0022-247X
publication_status: published
publisher: Elsevier BV
status: public
title: 'Super-Gaussian decay of exponentials: A sufficient condition'
type: journal_article
user_id: '99427'
volume: 528
year: '2023'
...
---
_id: '44081'
article_number: '020306'
author:
- first_name: Laura
full_name: Serino, Laura
id: '88242'
last_name: Serino
- first_name: Jano
full_name: Gil López, Jano
id: '51223'
last_name: Gil López
- first_name: Michael
full_name: Stefszky, Michael
id: '42777'
last_name: Stefszky
- first_name: Raimund
full_name: Ricken, Raimund
last_name: Ricken
- first_name: Christof
full_name: Eigner, Christof
id: '13244'
last_name: Eigner
orcid: https://orcid.org/0000-0002-5693-3083
- first_name: Benjamin
full_name: Brecht, Benjamin
id: '27150'
last_name: Brecht
orcid: '0000-0003-4140-0556 '
- first_name: Christine
full_name: Silberhorn, Christine
id: '26263'
last_name: Silberhorn
citation:
ama: Serino L, Gil López J, Stefszky M, et al. Realization of a Multi-Output Quantum
Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States.
PRX Quantum. 2023;4(2). doi:10.1103/prxquantum.4.020306
apa: Serino, L., Gil López, J., Stefszky, M., Ricken, R., Eigner, C., Brecht, B.,
& Silberhorn, C. (2023). Realization of a Multi-Output Quantum Pulse Gate
for Decoding High-Dimensional Temporal Modes of Single-Photon States. PRX Quantum,
4(2), Article 020306. https://doi.org/10.1103/prxquantum.4.020306
bibtex: '@article{Serino_Gil López_Stefszky_Ricken_Eigner_Brecht_Silberhorn_2023,
title={Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional
Temporal Modes of Single-Photon States}, volume={4}, DOI={10.1103/prxquantum.4.020306},
number={2020306}, journal={PRX Quantum}, publisher={American Physical Society
(APS)}, author={Serino, Laura and Gil López, Jano and Stefszky, Michael and Ricken,
Raimund and Eigner, Christof and Brecht, Benjamin and Silberhorn, Christine},
year={2023} }'
chicago: Serino, Laura, Jano Gil López, Michael Stefszky, Raimund Ricken, Christof
Eigner, Benjamin Brecht, and Christine Silberhorn. “Realization of a Multi-Output
Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon
States.” PRX Quantum 4, no. 2 (2023). https://doi.org/10.1103/prxquantum.4.020306.
ieee: 'L. Serino et al., “Realization of a Multi-Output Quantum Pulse Gate
for Decoding High-Dimensional Temporal Modes of Single-Photon States,” PRX
Quantum, vol. 4, no. 2, Art. no. 020306, 2023, doi: 10.1103/prxquantum.4.020306.'
mla: Serino, Laura, et al. “Realization of a Multi-Output Quantum Pulse Gate for
Decoding High-Dimensional Temporal Modes of Single-Photon States.” PRX Quantum,
vol. 4, no. 2, 020306, American Physical Society (APS), 2023, doi:10.1103/prxquantum.4.020306.
short: L. Serino, J. Gil López, M. Stefszky, R. Ricken, C. Eigner, B. Brecht, C.
Silberhorn, PRX Quantum 4 (2023).
date_created: 2023-04-20T12:38:23Z
date_updated: 2025-12-18T16:15:18Z
department:
- _id: '288'
- _id: '623'
- _id: '15'
doi: 10.1103/prxquantum.4.020306
intvolume: ' 4'
issue: '2'
keyword:
- General Physics and Astronomy
- Mathematical Physics
- Applied Mathematics
- Electronic
- Optical and Magnetic Materials
- Electrical and Electronic Engineering
- General Computer Science
language:
- iso: eng
publication: PRX Quantum
publication_identifier:
issn:
- 2691-3399
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional
Temporal Modes of Single-Photon States
type: journal_article
user_id: '27150'
volume: 4
year: '2023'
...
---
_id: '53338'
abstract:
- lang: eng
text: AbstractWe give an overview of analytical
results concerned with chemotaxis systems where the signal is absorbed. We recall
results on existence and properties of solutions for the prototypical chemotaxis‐consumption
model and various variants and review more recent findings on its ability to support
the emergence of spatial structures.
author:
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: 'Lankeit J, Winkler M. Depleting the signal: Analysis of chemotaxis‐consumption
models—A survey. Studies in Applied Mathematics. 2023;151(4):1197-1229.
doi:10.1111/sapm.12625'
apa: 'Lankeit, J., & Winkler, M. (2023). Depleting the signal: Analysis of chemotaxis‐consumption
models—A survey. Studies in Applied Mathematics, 151(4), 1197–1229.
https://doi.org/10.1111/sapm.12625'
bibtex: '@article{Lankeit_Winkler_2023, title={Depleting the signal: Analysis of
chemotaxis‐consumption models—A survey}, volume={151}, DOI={10.1111/sapm.12625},
number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Lankeit,
Johannes and Winkler, Michael}, year={2023}, pages={1197–1229} }'
chicago: 'Lankeit, Johannes, and Michael Winkler. “Depleting the Signal: Analysis
of Chemotaxis‐consumption Models—A Survey.” Studies in Applied Mathematics
151, no. 4 (2023): 1197–1229. https://doi.org/10.1111/sapm.12625.'
ieee: 'J. Lankeit and M. Winkler, “Depleting the signal: Analysis of chemotaxis‐consumption
models—A survey,” Studies in Applied Mathematics, vol. 151, no. 4, pp.
1197–1229, 2023, doi: 10.1111/sapm.12625.'
mla: 'Lankeit, Johannes, and Michael Winkler. “Depleting the Signal: Analysis of
Chemotaxis‐consumption Models—A Survey.” Studies in Applied Mathematics,
vol. 151, no. 4, Wiley, 2023, pp. 1197–229, doi:10.1111/sapm.12625.'
short: J. Lankeit, M. Winkler, Studies in Applied Mathematics 151 (2023) 1197–1229.
date_created: 2024-04-07T12:50:45Z
date_updated: 2025-12-18T20:16:04Z
doi: 10.1111/sapm.12625
intvolume: ' 151'
issue: '4'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 1197-1229
publication: Studies in Applied Mathematics
publication_identifier:
issn:
- 0022-2526
- 1467-9590
publication_status: published
publisher: Wiley
status: public
title: 'Depleting the signal: Analysis of chemotaxis‐consumption models—A survey'
type: journal_article
user_id: '31496'
volume: 151
year: '2023'
...
---
_id: '30861'
abstract:
- lang: eng
text: AbstractWe consider the problem of maximization
of metabolite production in bacterial cells formulated as a dynamical optimal
control problem (DOCP). According to Pontryagin’s maximum principle, optimal solutions
are concatenations of singular and bang arcs and exhibit the chattering or Fuller
phenomenon, which is problematic for applications. To avoid chattering, we introduce
a reduced model which is still biologically relevant and retains the important
structural features of the original problem. Using a combination of analytical
and numerical methods, we show that the singular arc is dominant in the studied
DOCPs and exhibits the turnpike property. This property
is further used in order to design simple and realistic suboptimal control strategies.
author:
- first_name: Jean-Baptiste
full_name: Caillau, Jean-Baptiste
last_name: Caillau
- first_name: Walid
full_name: Djema, Walid
last_name: Djema
- first_name: Jean-Luc
full_name: Gouzé, Jean-Luc
last_name: Gouzé
- first_name: Sofya
full_name: Maslovskaya, Sofya
id: '87909'
last_name: Maslovskaya
- first_name: Jean-Baptiste
full_name: Pomet, Jean-Baptiste
last_name: Pomet
citation:
ama: Caillau J-B, Djema W, Gouzé J-L, Maslovskaya S, Pomet J-B. Turnpike Property
in Optimal Microbial Metabolite Production. Journal of Optimization Theory
and Applications. Published online 2022. doi:10.1007/s10957-022-02023-0
apa: Caillau, J.-B., Djema, W., Gouzé, J.-L., Maslovskaya, S., & Pomet, J.-B.
(2022). Turnpike Property in Optimal Microbial Metabolite Production. Journal
of Optimization Theory and Applications. https://doi.org/10.1007/s10957-022-02023-0
bibtex: '@article{Caillau_Djema_Gouzé_Maslovskaya_Pomet_2022, title={Turnpike Property
in Optimal Microbial Metabolite Production}, DOI={10.1007/s10957-022-02023-0},
journal={Journal of Optimization Theory and Applications}, publisher={Springer
Science and Business Media LLC}, author={Caillau, Jean-Baptiste and Djema, Walid
and Gouzé, Jean-Luc and Maslovskaya, Sofya and Pomet, Jean-Baptiste}, year={2022}
}'
chicago: Caillau, Jean-Baptiste, Walid Djema, Jean-Luc Gouzé, Sofya Maslovskaya,
and Jean-Baptiste Pomet. “Turnpike Property in Optimal Microbial Metabolite Production.”
Journal of Optimization Theory and Applications, 2022. https://doi.org/10.1007/s10957-022-02023-0.
ieee: 'J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike
Property in Optimal Microbial Metabolite Production,” Journal of Optimization
Theory and Applications, 2022, doi: 10.1007/s10957-022-02023-0.'
mla: Caillau, Jean-Baptiste, et al. “Turnpike Property in Optimal Microbial Metabolite
Production.” Journal of Optimization Theory and Applications, Springer
Science and Business Media LLC, 2022, doi:10.1007/s10957-022-02023-0.
short: J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal
of Optimization Theory and Applications (2022).
date_created: 2022-04-08T17:23:13Z
date_updated: 2022-04-08T18:23:02Z
department:
- _id: '636'
doi: 10.1007/s10957-022-02023-0
keyword:
- Applied Mathematics
- Management Science and Operations Research
- Control and Optimization
language:
- iso: eng
publication: Journal of Optimization Theory and Applications
publication_identifier:
issn:
- 0022-3239
- 1573-2878
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Turnpike Property in Optimal Microbial Metabolite Production
type: journal_article
user_id: '87909'
year: '2022'
...
---
_id: '31479'
author:
- first_name: Surender
full_name: Baswana, Surender
last_name: Baswana
- first_name: Shiv
full_name: Gupta, Shiv
last_name: Gupta
- first_name: Till
full_name: Knollmann, Till
id: '39241'
last_name: Knollmann
orcid: 0000-0003-2014-4696
citation:
ama: Baswana S, Gupta S, Knollmann T. Mincut Sensitivity Data Structures for the
Insertion of an Edge. Algorithmica. Published online 2022. doi:10.1007/s00453-022-00978-0
apa: Baswana, S., Gupta, S., & Knollmann, T. (2022). Mincut Sensitivity Data
Structures for the Insertion of an Edge. Algorithmica. https://doi.org/10.1007/s00453-022-00978-0
bibtex: '@article{Baswana_Gupta_Knollmann_2022, title={Mincut Sensitivity Data Structures
for the Insertion of an Edge}, DOI={10.1007/s00453-022-00978-0},
journal={Algorithmica}, publisher={Springer Science and Business Media LLC}, author={Baswana,
Surender and Gupta, Shiv and Knollmann, Till}, year={2022} }'
chicago: Baswana, Surender, Shiv Gupta, and Till Knollmann. “Mincut Sensitivity
Data Structures for the Insertion of an Edge.” Algorithmica, 2022. https://doi.org/10.1007/s00453-022-00978-0.
ieee: 'S. Baswana, S. Gupta, and T. Knollmann, “Mincut Sensitivity Data Structures
for the Insertion of an Edge,” Algorithmica, 2022, doi: 10.1007/s00453-022-00978-0.'
mla: Baswana, Surender, et al. “Mincut Sensitivity Data Structures for the Insertion
of an Edge.” Algorithmica, Springer Science and Business Media LLC, 2022,
doi:10.1007/s00453-022-00978-0.
short: S. Baswana, S. Gupta, T. Knollmann, Algorithmica (2022).
date_created: 2022-05-27T10:09:24Z
date_updated: 2022-05-27T10:14:27Z
department:
- _id: '63'
doi: 10.1007/s00453-022-00978-0
genbank:
- tillk
keyword:
- Applied Mathematics
- Computer Science Applications
- General Computer Science
language:
- iso: eng
project:
- _id: '1'
name: 'SFB 901: SFB 901'
- _id: '2'
name: 'SFB 901 - A: SFB 901 - Project Area A'
- _id: '5'
name: 'SFB 901 - A1: SFB 901 - Subproject A1'
publication: Algorithmica
publication_identifier:
issn:
- 0178-4617
- 1432-0541
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Mincut Sensitivity Data Structures for the Insertion of an Edge
type: journal_article
user_id: '39241'
year: '2022'
...
---
_id: '33264'
abstract:
- lang: eng
text: We investigate bifurcations in feedforward coupled cell networks. Feedforward
structure (the absence of feedback) can be defined by a partial order on the cells.
We use this property to study generic one-parameter steady state bifurcations
for such networks. Branching solutions and their asymptotics are described in
terms of Taylor coefficients of the internal dynamics. They can be determined
via an algorithm that only exploits the network structure. Similar to previous
results on feedforward chains, we observe amplifications of the growth rates of
steady state branches induced by the feedforward structure. However, contrary
to these earlier results, as the interaction scenarios can be more complicated
in general feedforward networks, different branching patterns and different amplifications
can occur for different regions in the space of Taylor coefficients.
author:
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
- first_name: Eddie
full_name: Nijholt, Eddie
last_name: Nijholt
- first_name: Bob
full_name: Rink, Bob
last_name: Rink
citation:
ama: von der Gracht S, Nijholt E, Rink B. Amplified steady state bifurcations in
feedforward networks. Nonlinearity. 2022;35(4):2073-2120. doi:10.1088/1361-6544/ac5463
apa: von der Gracht, S., Nijholt, E., & Rink, B. (2022). Amplified steady state
bifurcations in feedforward networks. Nonlinearity, 35(4), 2073–2120.
https://doi.org/10.1088/1361-6544/ac5463
bibtex: '@article{von der Gracht_Nijholt_Rink_2022, title={Amplified steady state
bifurcations in feedforward networks}, volume={35}, DOI={10.1088/1361-6544/ac5463},
number={4}, journal={Nonlinearity}, publisher={IOP Publishing}, author={von der
Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2022}, pages={2073–2120}
}'
chicago: 'Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Amplified Steady
State Bifurcations in Feedforward Networks.” Nonlinearity 35, no. 4 (2022):
2073–2120. https://doi.org/10.1088/1361-6544/ac5463.'
ieee: 'S. von der Gracht, E. Nijholt, and B. Rink, “Amplified steady state bifurcations
in feedforward networks,” Nonlinearity, vol. 35, no. 4, pp. 2073–2120,
2022, doi: 10.1088/1361-6544/ac5463.'
mla: von der Gracht, Sören, et al. “Amplified Steady State Bifurcations in Feedforward
Networks.” Nonlinearity, vol. 35, no. 4, IOP Publishing, 2022, pp. 2073–120,
doi:10.1088/1361-6544/ac5463.
short: S. von der Gracht, E. Nijholt, B. Rink, Nonlinearity 35 (2022) 2073–2120.
date_created: 2022-09-06T11:38:15Z
date_updated: 2022-09-07T08:36:46Z
doi: 10.1088/1361-6544/ac5463
extern: '1'
external_id:
arxiv:
- '2105.02547'
intvolume: ' 35'
issue: '4'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 2073-2120
publication: Nonlinearity
publication_identifier:
issn:
- 0951-7715
- 1361-6544
publication_status: published
publisher: IOP Publishing
status: public
title: Amplified steady state bifurcations in feedforward networks
type: journal_article
user_id: '97359'
volume: 35
year: '2022'
...
---
_id: '35306'
author:
- first_name: Yannick
full_name: Guedes Bonthonneau, Yannick
last_name: Guedes Bonthonneau
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with
hyperbolic cusps. Journal of the European Mathematical Society. 2022;24(3):851-923.
doi:10.4171/jems/1103
apa: Guedes Bonthonneau, Y., & Weich, T. (2022). Ruelle–Pollicott resonances
for manifolds with hyperbolic cusps. Journal of the European Mathematical Society,
24(3), 851–923. https://doi.org/10.4171/jems/1103
bibtex: '@article{Guedes Bonthonneau_Weich_2022, title={Ruelle–Pollicott resonances
for manifolds with hyperbolic cusps}, volume={24}, DOI={10.4171/jems/1103},
number={3}, journal={Journal of the European Mathematical Society}, publisher={European
Mathematical Society - EMS - Publishing House GmbH}, author={Guedes Bonthonneau,
Yannick and Weich, Tobias}, year={2022}, pages={851–923} }'
chicago: 'Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances
for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical
Society 24, no. 3 (2022): 851–923. https://doi.org/10.4171/jems/1103.'
ieee: 'Y. Guedes Bonthonneau and T. Weich, “Ruelle–Pollicott resonances for manifolds
with hyperbolic cusps,” Journal of the European Mathematical Society, vol.
24, no. 3, pp. 851–923, 2022, doi: 10.4171/jems/1103.'
mla: Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances
for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical
Society, vol. 24, no. 3, European Mathematical Society - EMS - Publishing
House GmbH, 2022, pp. 851–923, doi:10.4171/jems/1103.
short: Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society
24 (2022) 851–923.
date_created: 2023-01-05T16:23:34Z
date_updated: 2023-01-06T08:47:35Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.4171/jems/1103
intvolume: ' 24'
issue: '3'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 851-923
publication: Journal of the European Mathematical Society
publication_identifier:
issn:
- 1435-9855
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: Ruelle–Pollicott resonances for manifolds with hyperbolic cusps
type: journal_article
user_id: '49178'
volume: 24
year: '2022'
...
---
_id: '34633'
article_number: '114118'
author:
- first_name: Kerstin
full_name: Hesse, Kerstin
id: '42608'
last_name: Hesse
orcid: 0000-0003-4125-1941
- first_name: Quoc Thong
full_name: Le Gia, Quoc Thong
last_name: Le Gia
citation:
ama: Hesse K, Le Gia QT. L_2 error estimates for polynomial discrete penalized least-squares
approximation on the sphere from noisy data. Journal of Computational and Applied
Mathematics. 2022;408. doi:10.1016/j.cam.2022.114118
apa: Hesse, K., & Le Gia, Q. T. (2022). L_2 error estimates for polynomial discrete
penalized least-squares approximation on the sphere from noisy data. Journal
of Computational and Applied Mathematics, 408, Article 114118. https://doi.org/10.1016/j.cam.2022.114118
bibtex: '@article{Hesse_Le Gia_2022, title={L_2 error estimates for polynomial discrete
penalized least-squares approximation on the sphere from noisy data}, volume={408},
DOI={10.1016/j.cam.2022.114118},
number={114118}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier
BV}, author={Hesse, Kerstin and Le Gia, Quoc Thong}, year={2022} }'
chicago: Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial
Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.”
Journal of Computational and Applied Mathematics 408 (2022). https://doi.org/10.1016/j.cam.2022.114118.
ieee: 'K. Hesse and Q. T. Le Gia, “L_2 error estimates for polynomial discrete penalized
least-squares approximation on the sphere from noisy data,” Journal of Computational
and Applied Mathematics, vol. 408, Art. no. 114118, 2022, doi: 10.1016/j.cam.2022.114118.'
mla: Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial
Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.”
Journal of Computational and Applied Mathematics, vol. 408, 114118, Elsevier
BV, 2022, doi:10.1016/j.cam.2022.114118.
short: K. Hesse, Q.T. Le Gia, Journal of Computational and Applied Mathematics 408
(2022).
date_created: 2022-12-20T17:37:16Z
date_updated: 2023-01-09T08:23:56Z
department:
- _id: '10'
doi: 10.1016/j.cam.2022.114118
intvolume: ' 408'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
publication: Journal of Computational and Applied Mathematics
publication_identifier:
issn:
- 0377-0427
publication_status: published
publisher: Elsevier BV
status: public
title: L_2 error estimates for polynomial discrete penalized least-squares approximation
on the sphere from noisy data
type: journal_article
user_id: '14931'
volume: 408
year: '2022'
...
---
_id: '47562'
article_number: '117632'
author:
- first_name: Felix
full_name: Herrmann, Felix
last_name: Herrmann
- first_name: Marcus
full_name: Grünewald, Marcus
last_name: Grünewald
- first_name: Tobias
full_name: Meijer, Tobias
last_name: Meijer
- first_name: Ulrich
full_name: Gardemann, Ulrich
last_name: Gardemann
- first_name: Lukas
full_name: Feierabend, Lukas
last_name: Feierabend
- first_name: Julia
full_name: Riese, Julia
id: '101499'
last_name: Riese
orcid: 0000-0002-3053-0534
citation:
ama: Herrmann F, Grünewald M, Meijer T, Gardemann U, Feierabend L, Riese J. Operating
window and flexibility of a lab-scale methanation plant. Chemical Engineering
Science. 2022;254. doi:10.1016/j.ces.2022.117632
apa: Herrmann, F., Grünewald, M., Meijer, T., Gardemann, U., Feierabend, L., &
Riese, J. (2022). Operating window and flexibility of a lab-scale methanation
plant. Chemical Engineering Science, 254, Article 117632. https://doi.org/10.1016/j.ces.2022.117632
bibtex: '@article{Herrmann_Grünewald_Meijer_Gardemann_Feierabend_Riese_2022, title={Operating
window and flexibility of a lab-scale methanation plant}, volume={254}, DOI={10.1016/j.ces.2022.117632},
number={117632}, journal={Chemical Engineering Science}, publisher={Elsevier BV},
author={Herrmann, Felix and Grünewald, Marcus and Meijer, Tobias and Gardemann,
Ulrich and Feierabend, Lukas and Riese, Julia}, year={2022} }'
chicago: Herrmann, Felix, Marcus Grünewald, Tobias Meijer, Ulrich Gardemann, Lukas
Feierabend, and Julia Riese. “Operating Window and Flexibility of a Lab-Scale
Methanation Plant.” Chemical Engineering Science 254 (2022). https://doi.org/10.1016/j.ces.2022.117632.
ieee: 'F. Herrmann, M. Grünewald, T. Meijer, U. Gardemann, L. Feierabend, and J.
Riese, “Operating window and flexibility of a lab-scale methanation plant,” Chemical
Engineering Science, vol. 254, Art. no. 117632, 2022, doi: 10.1016/j.ces.2022.117632.'
mla: Herrmann, Felix, et al. “Operating Window and Flexibility of a Lab-Scale Methanation
Plant.” Chemical Engineering Science, vol. 254, 117632, Elsevier BV, 2022,
doi:10.1016/j.ces.2022.117632.
short: F. Herrmann, M. Grünewald, T. Meijer, U. Gardemann, L. Feierabend, J. Riese,
Chemical Engineering Science 254 (2022).
date_created: 2023-10-04T14:15:40Z
date_updated: 2024-03-08T11:39:03Z
doi: 10.1016/j.ces.2022.117632
extern: '1'
intvolume: ' 254'
keyword:
- Applied Mathematics
- Industrial and Manufacturing Engineering
- General Chemical Engineering
- General Chemistry
language:
- iso: eng
publication: Chemical Engineering Science
publication_identifier:
issn:
- 0009-2509
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Operating window and flexibility of a lab-scale methanation plant
type: journal_article
user_id: '101499'
volume: 254
year: '2022'
...
---
_id: '45970'
abstract:
- lang: eng
text: ' We introduce a new phase field model for tumor growth where viscoelastic
effects are taken into account. The model is derived from basic thermodynamical
principles and consists of a convected Cahn–Hilliard equation with source terms
for the tumor cells and a convected reaction–diffusion equation with boundary
supply for the nutrient. Chemotactic terms, which are essential for the invasive
behavior of tumors, are taken into account. The model is completed by a viscoelastic
system consisting of the Navier–Stokes equation for the hydrodynamic quantities,
and a general constitutive equation with stress relaxation for the left Cauchy–Green
tensor associated with the elastic part of the total mechanical response of the
viscoelastic material. For a specific choice of the elastic energy density and
with an additional dissipative term accounting for stress diffusion, we prove
existence of global-in-time weak solutions of the viscoelastic model for tumor
growth in two space dimensions [Formula: see text] by the passage to the limit
in a fully-discrete finite element scheme where a CFL condition, i.e. [Formula:
see text], is required. Moreover, in arbitrary dimensions [Formula:
see text], we show stability and existence of solutions for the fully-discrete
finite element scheme, where positive definiteness of the discrete Cauchy–Green
tensor is proved with a regularization technique that was first introduced by
Barrett and Boyaval [Existence and approximation of a (regularized) Oldroyd-B
model, Math. Models Methods Appl. Sci. 21 (2011) 1783–1837]. After that, we improve
the regularity results in arbitrary dimensions [Formula: see text] and in two
dimensions [Formula: see text], where a CFL condition is required. Then, in two
dimensions [Formula: see text], we pass to the limit in the discretization parameters
and show that subsequences of discrete solutions converge to a global-in-time
weak solution. Finally, we present numerical results in two dimensions [Formula:
see text]. '
author:
- first_name: Harald
full_name: Garcke, Harald
last_name: Garcke
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: Dennis
full_name: Trautwein, Dennis
last_name: Trautwein
citation:
ama: Garcke H, Kovács B, Trautwein D. Viscoelastic Cahn–Hilliard models for tumor
growth. Mathematical Models and Methods in Applied Sciences. 2022;32(13):2673-2758.
doi:10.1142/s0218202522500634
apa: Garcke, H., Kovács, B., & Trautwein, D. (2022). Viscoelastic Cahn–Hilliard
models for tumor growth. Mathematical Models and Methods in Applied Sciences,
32(13), 2673–2758. https://doi.org/10.1142/s0218202522500634
bibtex: '@article{Garcke_Kovács_Trautwein_2022, title={Viscoelastic Cahn–Hilliard
models for tumor growth}, volume={32}, DOI={10.1142/s0218202522500634},
number={13}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World
Scientific Pub Co Pte Ltd}, author={Garcke, Harald and Kovács, Balázs and Trautwein,
Dennis}, year={2022}, pages={2673–2758} }'
chicago: 'Garcke, Harald, Balázs Kovács, and Dennis Trautwein. “Viscoelastic Cahn–Hilliard
Models for Tumor Growth.” Mathematical Models and Methods in Applied Sciences
32, no. 13 (2022): 2673–2758. https://doi.org/10.1142/s0218202522500634.'
ieee: 'H. Garcke, B. Kovács, and D. Trautwein, “Viscoelastic Cahn–Hilliard models
for tumor growth,” Mathematical Models and Methods in Applied Sciences,
vol. 32, no. 13, pp. 2673–2758, 2022, doi: 10.1142/s0218202522500634.'
mla: Garcke, Harald, et al. “Viscoelastic Cahn–Hilliard Models for Tumor Growth.”
Mathematical Models and Methods in Applied Sciences, vol. 32, no. 13, World
Scientific Pub Co Pte Ltd, 2022, pp. 2673–758, doi:10.1142/s0218202522500634.
short: H. Garcke, B. Kovács, D. Trautwein, Mathematical Models and Methods in Applied
Sciences 32 (2022) 2673–2758.
date_created: 2023-07-10T11:47:27Z
date_updated: 2024-04-03T09:15:35Z
department:
- _id: '841'
doi: 10.1142/s0218202522500634
intvolume: ' 32'
issue: '13'
keyword:
- Applied Mathematics
- Modeling and Simulation
language:
- iso: eng
page: 2673-2758
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
issn:
- 0218-2025
- 1793-6314
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
status: public
title: Viscoelastic Cahn–Hilliard models for tumor growth
type: journal_article
user_id: '100441'
volume: 32
year: '2022'
...