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1

Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion

Li, Yan, Lankeit, Johannes

Journal:

Year:

2016

Language:

english

File:

PDF, 1.17 MB

english, 2016

2

Global classical small-data solutions for a three-dimensional chemotaxis Navier–Stokes system involving matrix-valued sensitivities

Cao, Xinru, Lankeit, Johannes

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 832 KB

english, 2016

3

Chemotaxis can prevent thresholds on population density

Lankeit, Johannes

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2015

Language:

english

File:

PDF, 526 KB

english, 2015

4

The Exponentiated Hencky-Logarithmic Strain Energy. Part I: Constitutive Issues and Rank-One Convexity

Neff, Patrizio, Ghiba, Ionel-Dumitrel, Lankeit, Johannes

Journal:

Journal of Elasticity

Year:

2015

Language:

english

File:

PDF, 2.76 MB

english, 2015

5

Long-term behaviour in a chemotaxis-fluid system with logistic source

Lankeit, Johannes

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2016

Language:

english

File:

PDF, 464 KB

english, 2016

6

A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions

Black, Tobias, Lankeit, Johannes, Mizukami, Masaaki

Journal:

Mathematical Methods in the Applied Sciences

Year:

2019

Language:

english

File:

PDF, 477 KB

english, 2019

7

Facing Low Regularity in Chemotaxis Systems

Lankeit, Johannes, Winkler, Michael

Journal:

Jahresbericht der Deutschen Mathematiker-Vereinigung

Year:

2019

Language:

english

File:

PDF, 922 KB

english, 2019

8

Long-term behaviour in a parabolicâelliptic chemotaxisâconsumption model

Fuest, Mario, Lankeit, Johannes, Mizukami, Masaaki

Journal:

Journal of Differential Equations

Year:

2021

File:

PDF, 267 KB

2021

9

Unique continuation for first-order systems with integrable coefficients and applications to elasticity and plasticity

Lankeit, Johannes, Neff, Patrizio, Pauly, Dirk

Journal:

Comptes Rendus Mathematique

Year:

2013

File:

PDF, 148 KB

2013

10

Sum of squared logarithms - an inequality relating positive definite matrices and their matrix logarithm

Mircea Bîrsan, Patrizio Neff, Johannes Lankeit

Journal:

Journal of Inequalities and Applications

Year:

2013

Language:

english

File:

PDF, 238 KB

english, 2013

11

Uniqueness of integrable solutions to({ abla zeta=G zeta, zeta|_Gamma = 0})for integrable tensor coefficientsGand applications to elasticity

Johannes Lankeit, Patrizio Neff, Dirk Pauly

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2013

Language:

english

File:

PDF, 264 KB

english, 2013

12

On Grioli’s minimum property and its relation to Cauchy’s polar decomposition

Neff, Patrizio, Lankeit, Johannes, Madeo, Angela

Journal:

International Journal of Engineering Science

Year:

2014

Language:

english

File:

PDF, 403 KB

english, 2014

13

The minimization of matrix logarithms: On a fundamental property of the unitary polar factor

Lankeit, Johannes, Neff, Patrizio, Nakatsukasa, Yuji

Journal:

Linear Algebra and its Applications

Year:

2014

Language:

english

File:

PDF, 319 KB

english, 2014

14

Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source

Lankeit, Johannes

Journal:

Journal of Differential Equations

Year:

2015

Language:

english

File:

PDF, 1.37 MB

english, 2015

15

Uniqueness of Integrable Solutions ∇ζ = G ζ, ζ∣ Γ = 0 for Integrable Tensor-Coefficients G and Applications to Elasticity

Lankeit, Johannes, Neff, Patrizio, Pauly, Dirk

Journal:

Year:

2013

Language:

english

File:

PDF, 246 KB

english, 2013

16

The exponentiated Hencky-logarithmic strain energy. Part II: Coercivity, planar polyconvexity and existence of minimizers

Neff, Patrizio, Lankeit, Johannes, Ghiba, Ionel-Dumitrel, Martin, Robert, Steigmann, David

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2015

Language:

english

File:

PDF, 563 KB

english, 2015

17

Equilibration of unit mass solutions to a degenerate parabolic equation with a nonlocal gradient nonlinearity

Lankeit, Johannes

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2016

Language:

english

File:

PDF, 624 KB

english, 2016

18

A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity

Lankeit, Johannes

Journal:

Mathematical Methods in the Applied Sciences

Year:

2016

Language:

english

File:

PDF, 215 KB

english, 2016

19

Rank-one convexity and polyconvexity of Hencky-type energies

Neff, Patrizio, Ghiba, Ionel-Dumitrel, Lankeit, Johannes, Martin, Robert

Journal:

Year:

2014

Language:

english

File:

PDF, 233 KB

english, 2014

20

On the weakly competitive case in a two-species chemotaxis model

Black, Tobias, Lankeit, Johannes, Mizukami, Masaaki

Journal:

IMA Journal of Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 403 KB

english, 2016

21

Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion

Lankeit, Johannes

Journal:

Journal of Differential Equations

Year:

2017

Language:

english

File:

PDF, 1.46 MB

english, 2017

22

Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers

Lankeit, Johannes, Neff, Patrizio, Osterbrink, Frank

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2017

Language:

english

File:

PDF, 613 KB

english, 2017

23

How far does small chemotactic interaction perturb the Fisher–KPP dynamics?

Lankeit, Johannes, Mizukami, Masaaki

Journal:

Journal of Mathematical Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 394 KB

english, 2017

24

On a Degenerate Nonlocal Parabolic Problem Describing Infinite Dimensional Replicator Dynamics

Kavallaris, Nikos I., Lankeit, Johannes, Winkler, Michael

Journal:

SIAM Journal on Mathematical Analysis

Year:

2017

Language:

english

File:

PDF, 328 KB

english, 2017

25

A generalized solution concept for the Keller–Segel system with logarithmic sensitivity: global solvability for large nonradial data

Lankeit, Johannes, Winkler, Michael

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2017

Language:

english

File:

PDF, 816 KB

english, 2017

26

Singular sensitivity in a Keller–Segel-fluid system

Black, Tobias, Lankeit, Johannes, Mizukami, Masaaki

Journal:

Journal of Evolution Equations

Year:

2017

Language:

english

File:

PDF, 519 KB

english, 2017

27

Boundedness of solutions to a virus infection model with saturated chemotaxis

Hu, Bingran, Lankeit, Johannes

Journal:

Journal of Mathematical Analysis and Applications

Year:

2018

Language:

english

File:

PDF, 847 KB

english, 2018

28

Continuation beyond interior gradient blow-up in a semilinear parabolic equation

Fila, Marek, Lankeit, Johannes

Journal:

Mathematische Annalen

Year:

2019

File:

PDF, 376 KB

2019

29

On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms

Lankeit, Elisa, Lankeit, Johannes

Journal:

Year:

2019

Language:

english

File:

PDF, 1.75 MB

english, 2019

30

On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms

Lankeit, Elisa, Lankeit, Johannes

Journal:

Year:

2019

File:

PDF, 1.75 MB

2019

31

Global Existence and Boundedness of Solutions to a Chemotaxis-Consumption Model with Singular Sensitivity

Lankeit, Johannes, Viglialoro, Giuseppe

Journal:

Acta Applicandae Mathematicae

Year:

2019

Language:

english

File:

PDF, 905 KB

english, 2019

32

Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition

Fila, Marek, Ishige, Kazuhiro, Kawakami, Tatsuki, Lankeit, Johannes

Journal:

Asymptotic Analysis

Year:

2019

Language:

english

File:

PDF, 211 KB

english, 2019

33

Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory

Lankeit, Johannes, Winkler, Michael

Journal:

Israel Journal of Mathematics

Year:

2019

Language:

english

File:

PDF, 711 KB

english, 2019

34

Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen

Braukhoff, Marcel, Lankeit, Johannes

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2019

Language:

english

File:

PDF, 798 KB

english, 2019

35

A GagliardoâNirenberg Type Inequality for Rapidly Decaying Functions

Fila, Marek, Lankeit, Johannes

Journal:

Journal of Dynamics and Differential Equations

Year:

2020

File:

PDF, 331 KB

2020

36

Immediate smoothing and global solutions for initial data in L 1 Â ÃÂ W 1,2 in a KellerâSegel system with logistic terms in 2D

Lankeit, Johannes

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2020

File:

PDF, 483 KB

2020