Prof. Dr. Johannes Lankeit - Publikationen

Tobias Black, Mario Fuest, Johannes Lankeit:
Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic-elliptic Keller-Segel systems.
arXiv 
Johannes Lankeit:
Immediate smoothing and global solutions for initial data in L1 × W1,2 in a Keller–Segel system with logistic terms in 2D.
Proc. Roy. Soc. Edinburgh Sect. A.
  Journal
Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami, Johannes Lankeit:
The large diffusion limit for the heat equation in the exterior of the unit ball with a dynamical boundary condition.
Discrete Contin. Dyn. Syst. B, 40(11) (2020), 6529-6546.
  Journal
Mario Fuest, Johannes Lankeit, Masaaki Mizukami:
Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model.
J. Differential Equations 271 (2021), 254–279.
  Journal
Johannes Lankeit, Giuseppe Viglialoro:
Global existence and boundedness of solutions to a chemotaxis-consumption model with singular sensitivity.
Acta Appl. Math. 167 (2020), 75–97.
  Journal
Marek Fila, Johannes Lankeit:
Continuation beyond interior gradient blow-up in a semilinear parabolic equation.
Math. Ann. 377 (2020), no. 1-2, 317–333.
  Journal
Marek Fila, Johannes Lankeit:
Lack of smoothing for bounded solutions of a semilinear parabolic equation.
Adv. Nonlinear Anal. 9 (2020), no. 1, 1437–1452.
  Journal
Johannes Lankeit, Michael Winkler:
Facing low regularity in chemotaxis systems.
Jahresber. Dtsch. Math.-Ver. 122 (2020), no. 1, 35–64.
  Journal
Johannes Lankeit:
Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system.
Discrete Contin. Dyn. Syst. Ser. S 13 (2020), no. 2, 233–255.
  Journal
Marcel Braukhoff, Johannes Lankeit:
Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen.
Math. Models Methods Appl. Sci. 29 (2019), no. 11, 2033–2062.
  Journal
Johannes Lankeit, Michael Winkler:
Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory.
Israel J. Math. 233 (2019), no. 1, 249–296.
  Journal
Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami, Johannes Lankeit:
Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition.
Asymptot. Anal. 114 (2019), no. 1-2, 37–57.
  link
Tobias Black, Johannes Lankeit, Masaaki Mizukami:
A Keller-Segel-fluid system with singular sensitivity: Generalized solutions.
Math. Methods Appl. Sci. 42 (2019), no. 9, 3002–3020.
  Journal
Elisa Lankeit, Johannes Lankeit:
On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms.
Nonlinearity 32 (2019), no. 5, 1569–1596.
  Journal
Elisa Lankeit, Johannes Lankeit:
Classical solutions to a logistic chemotaxis model with singular sensitivity and signal absorption.
Nonlinear Anal. Real World Appl. 46 (2019), 421–445.
  Journal
Bingran Hu, Johannes Lankeit:
Boundedness of solutions to a virus infection model with saturated chemotaxis. J. Math. Anal. Appl. 468 (2018), no. 1, 344-358.
  Journal
Tobias Black, Johannes Lankeit, Masaaki Mizukami:
Singular sensitivity in a Keller–Segel-fluid system. J. Evol. Equ. 18 (2018), no. 2, 561–581.
  Journal
Johannes Lankeit, Michael Winkler: 
A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: Global solvability for large nonradial data. NoDEA Nonlinear Differential Equations Appl. 24 (2017), no. 4, Art. 49, 33 pp.
  Journal
Johannes Lankeit, Yulan Wang: 
Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption.
  Discrete Contin. Dyn. Syst. 37 (2017), no. 12, 6099–6121.
  Journal
Nikos I. Kavallaris, Johannes Lankeit, Michael Winkler:
 On a degenerate non-local parabolic problem describing infinite dimensional replicator dynamics.
SIAM J. Math. Anal., 49(2), 954–983. 
  Journal
Johannes Lankeit, Masaaki Mizukami: 
How far does small chemotactic interaction perturb the Fisher–KPP dynamics? J. Math. Anal. Appl. 452 (2017), no. 1, 429–442. 
  Journal
Johannes Lankeit: 
Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion.
J. Differential Equations 262 (2017), no. 7, 4052–4084. 
  Journal
Johannes Lankeit: 
Long-term behaviour in a chemotaxis-fluid system with logistic source.
Math. Models Methods Appl. Sci., 26, 2071 (2016) 
  Journal
Johannes Lankeit, Patrizio Neff, Frank Osterbrink: 
Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers .
Z. Angew. Math. Phys. (2017) 68: 11. doi:10.1007/s00033-016-0755-7 
  Journal
Tobias Black, Johannes Lankeit, Masaaki Mizukami: 
On the weakly competitive case in a two-species chemotaxis model.
IMA J Appl Math (2016) 81 (5): 860-876.
   link
Xinru Cao, Johannes Lankeit:
 Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities .
Calculus of Variations and Partial Differential Equations, Volume 55, number 4, August 2016, doi: 10.1007/s00526-016-1027-2. 
  Journal
Yan Li, Johannes Lankeit:
 Boundedness in a chemotaxis-haptotaxis model with nonlinear diffusion.
Nonlinearity, Volume 29, number 5, Pages 1564-1595. 
  Journal
Johannes Lankeit:
 Equilibration of unit mass solutions to a degenerate parabolic equation with a nonlocal gradient nonlinearity.
Nonlinear Analysis: Theory, Methods & Applications, Volume 135, April 2016, Pages 236–248.
  Journal
Johannes Lankeit: 
A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity.
Mathematical Methods in the Applied Sciences, Volume 39, Issue 3, February 2016, pages 394–404. 
  Journal
Johannes Lankeit: 
Chemotaxis can prevent thresholds on population density.
Discrete and Continuous Dynamical Systems - Series B, Volume 20, Issue 5, July 2015, Pages: 1499 - 1527. 
  Journal
Johannes Lankeit: 
Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source.
Journal of Differential Equations, Volume 258, Issue 4, 15 February 2015, Pages 1158–1191. 
  Journal
Patrizio Neff, Dumitrel Ghiba, Johannes Lankeit: 
The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity.
Journal of Elasticity, December 2015, Volume 121, Issue 2, pp. 143-234.
  Journal
Patrizio Neff, Johannes Lankeit, Ionel-Dumitrel Ghiba, Robert Martin, David Steigmann: 
The exponentiated Hencky-logarithmic strain energy. Part II: Coercivity, planar polyconvexity and existence of minimizers.
Zeitschrift für angewandte Mathematik und Physik, August 2015, Volume 66, Issue 4, pp 1671-1693. 
  Journal
Patrizio Neff, Angela Madeo, Johannes Lankeit: 
On Grioli's minimum property and its relation to Cauchy's polar decomposition .
International Journal of Engineering Science, Volume 80, July 2014, Pages 209–217. 
  Journal
Johannes Lankeit, Patrizio Neff, Yuji Nakatsukasa: 
The minimization of matrix logarithms: On a fundamental property of the unitary polar factor .
Linear Algebra and Its Applications, Volume 449, 15 May 2014, Pages 28–42. 
  Journal
Mircea Bîrsan, Patrizio Neff, Johannes Lankeit: 
Sum of squared logarithms - an inequality relating positive definite matrices and their matrix logarithm, 
Journal of Inequalities and Applications, 2013, 2013:168. 
  Journal
Stephan Lehmich, Patrizio Neff, Johannes Lankeit: 
On the convexity of the function C --> f(det C) on positive definite matrices.
 Mathematics of Mechanics and Solids, June 2014, vol. 19, no. 4, pp. 369-375. 
  Journal
Johannes Lankeit, Patrizio Neff, Dirk Pauly: 
Uniqueness of integrable solutions to ∇ζ=Gζ,ζ|Γ=0 for integrable tensor coefficients 
G and applications to elasticity.

Zeitschrift für angewandte Mathematik und Physik, Volume 64, Issue 6, December 2013, Pages 1679-1688. 
  Journal
Johannes Lankeit, Patrizio Neff, Dirk Pauly: 
Unique continuation for first-order systems with integrable coefficients and applications to elasticity and plasticity.
Comptes Rendus Mathematique, Volume 351, Issues 5-6, March 2013, Pages 247-250. 
  Journal

NOTE

In case you cannot access one of the above articles: Preprint versions of the above articles may still be available via a search for Lankeit, Johannes at arXiv.org. (Note, however, that these may slightly differ from the published versions.) 
You can also write me an e-mail.