相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。DOES SPATIAL HOMOGENEITY ULTIMATELY PREVAIL IN NUTRIENT TAXIS SYSTEMS? A PARADIGM FOR STRUCTURE SUPPORT BY RAPID DIFFUSION DECAY IN AN AUTONOMOUS PARABOLIC FLOW
Michael Winkler
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2021)
Derivation of a bacterial nutrient-taxis system with doubly degenerate cross-diffusion as the parabolic limit of a velocity-jump process
Ramon G. Plaza
JOURNAL OF MATHEMATICAL BIOLOGY (2019)
Global solutions in a quasilinear parabolic-parabolic chemotaxis system with decaying diffusivity and consumption of a chemoattractant
Bingchen Liu et al.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2018)
Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion
Johannes Lankeit
JOURNAL OF DIFFERENTIAL EQUATIONS (2017)
Global existence and asymptotic behavior to a chemotaxis system with consumption of chemoattractant in higher dimensions
Lili Fan et al.
JOURNAL OF MATHEMATICAL PHYSICS (2017)
Boundedness in chemotaxis systems with rotational flux terms
Qingshan Zhang
MATHEMATISCHE NACHRICHTEN (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 existence and boundedness in a higher-dimensional quasilinear chemotaxis system
Yilong Wang et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2015)
Global existence to a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant
Liangchen Wang et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2015)
Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
Sachiko Ishida et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2014)
Boundedness in a parabolic-parabolic chemotaxis system with nonlinear diffusion
Liangchen Wang et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (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)
Global Large-Data Solutions in a Chemotaxis-(Navier-)Stokes System Modeling Cellular Swimming in Fluid Drops
Michael Winkler
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2012)
Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type with small data
Sachiko Ishida et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2012)
Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
Youshan Tao et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (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)
Boundedness in a chemotaxis model with oxygen consumption by bacteria
Youshan Tao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2011)
Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
Michael Winkler
JOURNAL OF DIFFERENTIAL EQUATIONS (2010)
Does a 'volume-filling effect' always prevent chemotactic collapse?
Michael Winkler
MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2010)
分享论文
