TY - GEN
AB - We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experience specular reflections. We show that if the geodesic billiard system is hyperbolic on its trapped set and the latter is compact and non-grazing the techniques for open hyperbolic systems developed by Dyatlov and Guillarmou can be applied to a smooth model for the discontinuous flow defined by the non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent for the generator of the billiard flow. As an application we prove a meromorphic continuation of weighted zeta functions together with explicit residue formulae. In particular, our results apply to scattering by convex obstacles in the Euclidean plane.
AU - Schütte, Philipp
AU - Weich, Tobias
AU - Delarue, Benjamin
ID - 31058
TI - Resonances and weighted zeta functions for obstacle scattering via smooth models
ER -
TY - GEN
AU - Hoffmann, Max
ID - 31385
T2 - Mathematische Semesterberichte
TI - Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie
VL - 68
ER -
TY - CHAP
AU - Hoffmann, Max
ED - Biehler, Rolf
ED - Eichler, Andreas
ED - Hochmuth, Reinhard
ED - Rach, Stefanie
ED - Schaper, Niclas
ID - 31364
SN - 2197-8751
T2 - Lehrinnovationen in der Hochschulmathematik. praxisrelevant – didaktisch fundiert – forschungsbasiert
TI - Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn
ER -
TY - JOUR
AB - Abstract
For a compact Riemannian locally symmetric space $\mathcal M$ of rank 1 and an associated vector bundle $\mathbf V_{\tau }$ over the unit cosphere bundle $S^{\ast }\mathcal M$, we give a precise description of those classical (Pollicott–Ruelle) resonant states on $\mathbf V_{\tau }$ that vanish under covariant derivatives in the Anosov-unstable directions of the chaotic geodesic flow on $S^{\ast }\mathcal M$. In particular, we show that they are isomorphically mapped by natural pushforwards into generalized common eigenspaces of the algebra of invariant differential operators $D(G,\sigma )$ on compatible associated vector bundles $\mathbf W_{\sigma }$ over $\mathcal M$. As a consequence of this description, we obtain an exact band structure of the Pollicott–Ruelle spectrum. Further, under some mild assumptions on the representations $\tau$ and $\sigma$ defining the bundles $\mathbf V_{\tau }$ and $\mathbf W_{\sigma }$, we obtain a very explicit description of the generalized common eigenspaces. This allows us to relate classical Pollicott–Ruelle resonances to quantum eigenvalues of a Laplacian in a suitable Hilbert space of sections of $\mathbf W_{\sigma }$. Our methods of proof are based on representation theory and Lie theory.
AU - Küster, Benjamin
AU - Weich, Tobias
ID - 31261
IS - 11
JF - International Mathematics Research Notices
KW - General Mathematics
SN - 1073-7928
TI - Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces
VL - 2021
ER -
TY - JOUR
AU - Häsel-Weide, Uta
AU - Nührenbürger, Marcus
ID - 31576
IS - 14
JF - Zeitschrift für Grundschulforschung (ZfG)
TI - Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen.
ER -
TY - JOUR
AU - Häsel-Weide, Uta
AU - Schöttler, Christian
ID - 31577
IS - 2
JF - Zeitschrift für Mathematikdidaktik in Forschung & Praxis (ZMFP)
SN - 2701-9012
TI - Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen
ER -
TY - JOUR
AU - Li, Jiaao
AU - Ma, Yulai
AU - Shi, Yongtang
AU - Wang, Weifan
AU - Wu, Yezhou
ID - 32810
JF - European Journal of Combinatorics
KW - Discrete Mathematics and Combinatorics
SN - 0195-6698
TI - On 3-flow-critical graphs
VL - 100
ER -
TY - JOUR
AB - The kinetic Brownian motion on the sphere bundle of a Riemannian manifold M is a stochastic process that models a random perturbation of the geodesic flow. If M is an orientable compact constantly curved surface, we show that in the limit of infinitely large perturbation the L2-spectrum of the infinitesimal generator of a time-rescaled version of the process converges to the Laplace spectrum of the base manifold.
AU - Kolb, Martin
AU - Weich, Tobias
AU - Wolf, Lasse
ID - 33278
IS - 4
JF - Annales Henri Poincaré
TI - Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature
VL - 23
ER -
TY - GEN
AU - Weich, Tobias
AU - Budde, Julia
ID - 32099
T2 - arXiv:2103.02968v1
TI - Wave Front Sets of Nilpotent Lie Group Representations
ER -
TY - JOUR
AB - While 2D Gibbsian particle systems might exhibit orientational order resulting in a lattice-like structure, these particle systems do not exhibit positional order if the interaction between particles satisfies some weak assumptions. Here we investigate to which extent particles within a box of size may fluctuate from their ideal lattice position. We show that particles near the center of the box typically show a displacement at least of order . Thus we extend recent results on the hard disk model to particle systems with fairly arbitrary particle spins and interaction. Our result applies to models such as rather general continuum Potts type models, e.g. with Widom–Rowlinson or Lenard-Jones-type interaction.
AU - Richthammer, Thomas
AU - Fiedler, Michael
ID - 33481
JF - Stochastic Processes and their Applications
TI - A lower bound on the displacement of particles in 2D Gibbsian particle systems
VL - 132
ER -
TY - JOUR
AU - Hanusch, Maximilian
ID - 34818
JF - Differential Geometry and its Applications
KW - Geometry and Topology
KW - Analysis
SN - 0926-2245
TI - Symmetries of analytic curves
VL - 74
ER -
TY - CHAP
AU - Biehler, Rolf
ED - Biehler, Rolf
ED - Eichler, Andreas
ED - Hochmuth, Reinhard
ED - Rach, Stefanie
ED - Schaper, Niclas
ID - 35720
T2 - Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
TI - Mathematikvorkurse als Brücke in das Studium–Einführung
ER -
TY - CHAP
AU - Biehler, Rolf
AU - Eichler, Andreas
AU - Hochmuth, Reinhard
AU - Rach, Stefanie
AU - Schaper, Niclas
ED - Biehler, Rolf
ED - Eichler, Andreas
ED - Hochmuth, Reinhard
ED - Rach, Stefanie
ED - Schaper, Niclas
ID - 35730
SN - 2197-8751
T2 - Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
TI - Einführung: Lehrinnovationen in der Hochschulmathematik – praxisrelevant – didaktisch fundiert – forschungsbasiert
ER -
TY - JOUR
AU - Biehler, Rolf
AU - Fleischer, Yannik
ID - 35737
JF - Teaching Statistics
KW - Education
KW - Statistics and Probability
SN - 0141-982X
TI - Introducing students to machine learning with decision trees using CODAP and Jupyter Notebooks
VL - 43
ER -
TY - BOOK
ED - Biehler, Rolf
ED - Eichler, Andreas
ED - Hochmuth, Reinhard
ED - Rach, Stefanie
ED - Schaper, Niclas
ID - 35734
SN - 2197-8751
TI - Lehrinnovationen in der Hochschulmathematik
ER -
TY - CHAP
AU - Frischemeier, Daniel
AU - Podworny, Susanne
AU - Biehler, Rolf
ED - Biehler, Rolf
ED - Eichler, Andreas
ED - Hochmuth, Reinhard
ED - Rach, Stefanie
ED - Schaper, Niclas
ID - 35752
SN - 2197-8751
T2 - Konzepte und Studien Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematikzur Hochschuldidaktik und Lehrerbildung Mathematik
TI - Integration fachwissenschaftlicher und fachdidaktischer Komponenten in der Lehramtsausbildung Mathematik Grundschule am Beispiel einer Veranstaltung zur Leitidee „Daten, Häufigkeit und Wahrscheinlichkeit“
ER -
TY - CHAP
AU - Fleischmann, Yael
AU - Biehler, Rolf
AU - Gold, Alexander
AU - Mai, Tobias
ED - Biehler, Rolf
ED - Eichler, Andreas
ED - Hochmuth, Reinhard
ED - Rach, Stefanie
ED - Schaper, Niclas
ID - 35746
SN - 2197-8751
T2 - Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
TI - Integration digitaler Lernmaterialien in die Präsenzlehre am Beispiel des Mathematikvorkurses für Ingenieure an der Universität Paderborn
ER -
TY - JOUR
AU - Frischemeier, Daniel
AU - Biehler, Rolf
AU - Podworny, Susanne
AU - Budde, Lea
ID - 35751
IS - S1
JF - Teaching Statistics
KW - Education
KW - Statistics and Probability
SN - 0141-982X
TI - A first introduction to data science education in secondary schools: Teaching and learning about data exploration withCODAPusing survey data
VL - 43
ER -
TY - JOUR
AU - Biehler, Rolf
AU - Weigand, Hans-Georg
ID - 35744
IS - 228
JF - mathematik lehren
TI - 3D-Geometrie–virtuell und real
VL - 2021
ER -
TY - CHAP
AU - Hochmuth, Reinhard
AU - Biehler, Rolf
AU - Blum, Werner
AU - Achmetli, Kay
AU - Rode, Jana
AU - Krawitz, Janina
AU - Schukajlow, Stanislaw
AU - Bender, Peter
AU - Haase, Jürgen
ED - Biehler, Rolf
ED - Eichler, Andreas
ED - Hochmuth, Reinhard
ED - Rach, Stefanie
ED - Schaper, Niclas
ID - 35757
SN - 2197-8751
T2 - Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
TI - Fachwissen zur Arithmetik bei Grundschullehramtsstudierenden – Entwicklung im ersten Semester und Veränderungen durch eine Lehrinnovation
ER -
TY - CHAP
AU - Gold, Alexander
AU - Fleischmann, Yael
AU - Mai, Tobias
AU - Biehler, Rolf
AU - Kempen, Leander
ED - Biehler, Rolf
ED - Eichler, Andreas
ED - Hochmuth, Reinhard
ED - Rach, Stefanie
ED - Schaper, Niclas
ID - 35755
SN - 2197-8751
T2 - Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
TI - Die Online-Lernmaterialien im Online-Mathematikvorkurs studiVEMINT: Konzeption und Ergebnisse von Nutzer- und Evaluationsstudien
ER -
TY - CHAP
AU - Kempen, Leander
AU - Biehler, Rolf
ED - Biehler, Rolf
ED - Eichler, Andreas
ED - Hochmuth, Reinhard
ED - Rach, Stefanie
ED - Schaper, Niclas
ID - 35776
SN - 2197-8751
T2 - Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
TI - Design-Based Research in der Hochschullehre am Beispiel der Lehrveranstaltung „Einführung in die Kultur der Mathematik“
ER -
TY - JOUR
AU - Höper, Lukas
AU - Malin, Leah
AU - Biehler, Rolf
ID - 35761
IS - 228
JF - mathematik lehren
TI - Schatten von 3D-Objekten: Modellierung mit GeoGebra 3D und Anwendungen in der Computergrafik
VL - 2021
ER -
TY - JOUR
AU - Hüsing, Sven
AU - Weiser, Niklas
AU - Biehler, Rolf
ID - 35763
IS - 228
JF - mathematik lehren
TI - Faszination 3D-Film: Entwicklung einer 3D-Konstruktion
VL - 2021
ER -
TY - JOUR
AB - AbstractThe aim of the special issue is to bring together important current international research on innovative teaching and learning practices in mathematics in engineering education, and to develop deeper understandings of the characteristics of current teaching and learning practices that can inform the design and implementation of future innovative practice. The focus of this review paper is to provide a state-of-the-art overview of this emerging field at the cross-roads between mathematics and engineering education, in addition to introducing the papers of this special issue. To guide this paper, we posed three review questions: (1) How can current (teaching/learning/study) practices of mathematics in engineering education be characterized with a view towards innovation?; (2) What are the ‘resources’ (cognitive, material, digital, social) used, and what are those that appear also well suited for innovative courses?; (3) What are promising innovative practices in mathematics in engineering education, and what are the implications for curriculum reform? Looking back across the studies we summarized in the review, we conclude that they are lagging behind the more fundamental changes that are happening in engineering education, whilst addressing selected aspects of innovative changes within the current system of engineering education. At the same time, the nine papers of this special issue contribute new perspectives for innovative practices in mathematics in engineering education, for a better understanding of current practices and for future research.
AU - Pepin, Birgit
AU - Biehler, Rolf
AU - Gueudet, Ghislaine
ID - 35778
IS - 2
JF - International Journal of Research in Undergraduate Mathematics Education
KW - Education
KW - Mathematics (miscellaneous)
SN - 2198-9745
TI - Mathematics in Engineering Education: a Review of the Recent Literature with a View towards Innovative Practices
VL - 7
ER -
TY - JOUR
AU - Podworny, Susanne
AU - Biehler, Rolf
ID - 35781
IS - 4
JF - Mathematical Thinking and Learning
KW - Developmental and Educational Psychology
KW - Education
KW - General Mathematics
SN - 1098-6065
TI - The process of actively building a model for a randomization test – insights into learners’ modeling activities based on a case study
VL - 24
ER -
TY - CHAP
AU - Winsløw, Carl
AU - Biehler, Rolf
AU - Jaworski, Barbara
AU - Rønning, Frode
AU - Wawro, Megan
ED - Durand-Guerrier, V.
ED - Hochmuth, R.
ED - Nardi, E.
ED - Winsløw, C.
ID - 35704
SN - 9780429346859
T2 - Research and Development in University Mathematics Education
TI - Education and professional development of university mathematics teachers
ER -
TY - JOUR
AU - Schürmann, Mirko
AU - Liebendörfer, Michael
AU - Gildehaus, Lara
AU - Schaper, Niclas
AU - Hochmuth, Reinhard
AU - Biehler, Rolf
AU - Lankeit, Elisa
AU - Kuklinski, Christiane
AU - Ruge, Johanna
ID - 24786
JF - Sigma newsletter
TI - Opportunities and Possibilities of a Network of Mathematical Learning and Support Centres in Germany
VL - 22
ER -
TY - CHAP
AU - Rach, Stefanie
AU - Liebendörfer, Michael
ED - Hein, Kerstin
ED - Heil, Cathleen
ED - Ruwisch, Silke
ED - Prediger, Susanne
ID - 37485
SN - 978-3-95987-184-6
T2 - Beiträge zum Mathematikunterricht 2021 vom GDM-Monat 2021 der Gesellschaft für Didaktik der Mathematik (GDM) (1.-25. März 2021)
TI - Die Bedeutung affektiver Merkmale beim Mathematiklernen
ER -
TY - JOUR
AB - Abstract
Due to the COVID-19 crisis, many courses have been offered digitally. Using data from n = 1,173 business students participating in a preparatory mathematics course at a German university that covered the same content as in 2018, 2019 and 2020, we examine how students’ participation and the effect of the preparatory course changed. The data show that the participation rate has fallen slightly, but students’ participation is rather similar to preceding years. Interestingly, students have participated more intensively. There are clear signs of dishonesty in the self-test (use of a calculator) and significant changes in predictors of performance. In particular, the effect of students’ engagement in the course on their performance substantially increased. Further, we found a gender gap in performance affecting women. Finally, the data show that digital courses can be as effective as on-campus courses.
AU - Büchele, Stefan
AU - Liebendörfer, Michael
AU - Lankeit, Elisa
ID - 37474
IS - 4
JF - Teaching Mathematics and its Applications: An International Journal of the IMA
KW - Education
KW - General Mathematics
SN - 0268-3679
TI - Increasing the effect of a remedial mathematics course by switching to an online format during the COVID-19 crisis: evidence from a German university
VL - 40
ER -
TY - JOUR
AB - Das gymnasiale Lehramtsstudium der Mathematik ist an deutschen Universitäten unterschiedlich organisiert. Traditionell wurden am Studienbeginn die Fachvorlesungen zur Analysis und Linearen Algebra gemeinsam mit Fachstudierenden gehört. In jüngerer Zeit verbreiten sich alternative Modelle z. B. mit Brückenvorlesungen, die oft spezifisch für das Gymnasiallehramt angeboten werden. Sie können gemeinsame Veranstaltungen mit Fachstudierenden ergänzen oder ersetzen. Dieser Beitrag zeigt auf, welche Modelle wie häufig verbreitet sind, und spricht an, welche hochschuldidaktischen Fragen an der Studiengestaltung hängen.
AU - Gildehaus, Lara
AU - Göller, Robin
AU - Liebendörfer, Michael
ID - 37483
IS - 111
JF - Mitteilungen der Gesellschaft für Didaktik der Mathematik
SN - 2512-9155
TI - Gymnasiales Lehramt Mathematik studieren – eine Übersicht zur Studienorganisation in Deutschland
VL - 47
ER -
TY - CONF
AU - Vajen, Bastian
AU - Gildehaus, Lara
AU - Liebendörfer, Michael
AU - Wolf, Christoph
ED - Kenner, Steve
ED - Oeftering, T.
ID - 37481
T2 - Schriftenreihe der DVPB. Standortbestimmung Politische Bildung: Gesellschaftspolitische Herausforderungen, Zivilgesellschaft und das vermeintliche Neutralitätsgebot
TI - Mathematisierung als Herausforderung für die politische Bildung
ER -
TY - CHAP
AU - Göller, Robin
AU - Gildehaus, Lara
AU - Liebendörfer, Michael
AU - Steuding, Jörn
ED - Blunck, Andrea
ED - Motzer, Renate
ID - 37480
T2 - Mathematik und Gender: Berichte und Beiträge des Arbeitskreise Frauen und Mathematik
TI - Prüfungsformate als Ansatzpunkt gendersensibler universitärer Lehre im Fach Mathematik
VL - 5
ER -
TY - CONF
AU - Haak, Inka
AU - Gildehaus, Lara
AU - Liebendörfer, Michael
ID - 37478
T2 - Naturwissenschaftlicher Unterricht und Lehrerbildung im Umbruch?
TI - Genese und Funktionen von Lerngruppen in der Studieneingangsphase
ER -
TY - JOUR
AB - Abstract
We investigated university students’ study of mathematics in the digital setting context of the COVID-19 pandemic. We gathered data from a survey of 89 students enrolled in a ‘Linear Algebra 1’ course including affective variables, learning strategies, social relatedness and resources considered useful. The results indicate students’ high effort and self-regulation and a high variation in affective characteristics and social relatedness. All the traditional aspects of mathematics teaching (lecture, tutorials and lecture notes) were rated as particularly useful. In addition, the videos from external resources were rated as equally useful as the teaching team’s videos. In contrast, traditional literature such as textbooks was rarely considered useful. The most useful resource rated was communication with peers, underlining the important role of social learning despite fully digital learning environments. Finally, a cluster analysis based on students’ rated usefulness of the resources led to three different user-types. Whereas the ‘digitals’ find the external digital resources very useful (videos, webpages, etc.), the ‘traditionalists’ rate the digitalized traditional resources best (lecture, tutorials, etc.). All resources receive uniformly good ratings from a third group (‘all resource users’). We reflect on our findings in light of the pandemic and describe directions for future research.
AU - Kempen, Leander
AU - Liebendörfer, Michael
ID - 37473
IS - 4
JF - Teaching Mathematics and its Applications: An International Journal of the IMA
KW - Education
KW - General Mathematics
SN - 0268-3679
TI - University students’ fully digital study of mathematics: an identification of student-groups via their resources usage and a characterization by personal and affective characteristics
VL - 40
ER -
TY - CONF
AU - Liebendörfer, Michael
AU - Hochmuth, Reinhard
AU - Rode, Jana
AU - Schukajlow, Stanislaw
ED - Inprasitha, M.
ED - Changsri, N.
ED - Boonsena, N.
ID - 37487
T2 - Interim Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education
TI - The Mathematical Beliefs and Interest Development of Pre-Service Primary Teachers
VL - 3
ER -
TY - JOUR
AU - Krapf, Regula
AU - Liebendörfer, Michael
ID - 37494
IS - 44
JF - mathematica didactica
KW - Extrinsische Motivation
TI - Was bewirkt die Pflichtabgabe von Übungsaufgaben in der Hochschulmathematik? – Ein empirischer Vergleich
VL - 2
ER -
TY - JOUR
AU - Winkler, Michael
ID - 35616
JF - Nonlinear Analysis: Real World Applications
TI - Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation.
VL - 59
ER -
TY - JOUR
AU - Winkler, Michael
ID - 35615
JF - Zeitschrift für Angewandte Mathematik und Physik
TI - Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.
VL - 72
ER -
TY - JOUR
AU - Winkler, Michael
ID - 35614
JF - International Mathematics Research Notices
TI - Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?
VL - 2021
ER -
TY - JOUR
AU - Winkler, Michael
ID - 35617
JF - Applied Mathematics Letters
TI - Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.
VL - 112
ER -
TY - JOUR
AU - Winkler, Michael
ID - 35613
JF - Transactions of the American Mathematical Society
TI - Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.
VL - 374
ER -
TY - JOUR
AU - Rösler, Margit
AU - Voit, Michael
ID - 37659
IS - 3
JF - Proceedings of the American Mathematical Society
KW - Applied Mathematics
KW - General Mathematics
SN - 0002-9939
TI - Positive intertwiners for Bessel functions of type B
VL - 149
ER -
TY - JOUR
AU - Tao, Youshan
AU - Winkler, Michael
ID - 35603
JF - Journal of Functional Analysis
TI - A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.
VL - 281
ER -
TY - JOUR
AU - Tao, Youshan
AU - Winkler, Michael
ID - 35606
JF - Nonlinear Analysis, Theory, Methods and Applications
TI - The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis.
VL - 208
ER -
TY - JOUR
AU - Wang, Yulan
AU - Winkler, Michael
AU - Xiang, Zhaoyin
ID - 35612
JF - Science China Mathematics
TI - Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.
VL - 64
ER -
TY - JOUR
AU - Ding, Mengyao
AU - Winkler, Michael
ID - 35601
JF - Nonlinear Differential Equatiions and Applicatiions
TI - Small-density solutiions in Keller-Segel systems involving rapidly decaying diffusivities.
VL - 28
ER -
TY - JOUR
AU - Tao, Youshan
AU - Winkler, Michael
ID - 35605
JF - Communications in Mathematical Sciences
TI - Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.
VL - 19
ER -
TY - JOUR
AU - Tao, Youshan
AU - Winkler, Michael
ID - 35604
JF - SIAM Journal on Mathematical Analysis
TI - Taxis-driven formation of singular hotspots in a May-Nowak type model for virus infection.
VL - 53
ER -
TY - JOUR
AU - Wang, Yulan
AU - Winkler, Michael
AU - Xiang, Zhaoyin
ID - 35610
JF - Communications in Partial Differential Equations
TI - Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.
VL - 46
ER -