Related references
Note: Only part of the references are listed.A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
Johannes Lankeit
MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2016)
Chemotactic cross-diffusion in complex frameworks
M. Winkler
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2016)
New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models
Tomasz Cieslak et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2015)
Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues
N. Bellomo et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2015)
GLOBAL BOUNDED SOLUTIONS OF THE HIGHER-DIMENSIONAL KELLER-SEGEL SYSTEM UNDER SMALLNESS CONDITIONS IN OPTIMAL SPACES
Xinru Cao
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2015)
Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
Youshan Tao et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2014)
Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
Sachiko Ishida et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2014)
GLOBAL WEAK SOLUTIONS IN A PDE-ODE SYSTEM MODELING MULTISCALE CANCER CELL INVASION
Christian Stinner et al.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2014)
Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
Michael Winkler
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (2013)
The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion
J. Francisco Leyva et al.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2013)
Measure Valued Solutions of the 2D Keller-Segel System
S. Luckhaus et al.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2012)
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
Youshan Tao et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2012)
Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
Tomasz Cieslak et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2012)
Stripe Formation in Bacterial Systems with Density-Suppressed Motility
Xiongfei Fu et al.
PHYSICAL REVIEW LETTERS (2012)
Global solutions in a fully parabolic chemotaxis system with singular sensitivity
Michael Winkler
MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2011)
Sequential Establishment of Stripe Patterns in an Expanding Cell Population
Chenli Liu et al.
SCIENCE (2011)
A CHEMOTAXIS-HAPTOTAXIS MODEL: THE ROLES OF NONLINEAR DIFFUSION AND LOGISTIC SOURCE
Youshan Tao et al.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2011)
Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
Michael Winkler
JOURNAL OF DIFFERENTIAL EQUATIONS (2010)
A quasi-linear parabolic system of chemotaxis
Takasi Senba et al.
ABSTRACT AND APPLIED ANALYSIS (2006)
Boundedness vs. blow-up in a chemotaxis system
D Horstmann et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2005)
Global attractor for a chemotaxis model with prevention of overcrowding
D Wrzosek
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2004)
A critical exponent in a degenerate parabolic equation
M Winkler
MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2002)
Share Paper
