Well-posedness of a 3D parabolic–hyperbolic Keller–Segel system in the Sobolev space framework

Chao Deng, Tong Li

Type: Article

Publication Date: 2014-06-02

Citations: 44

DOI: https://doi.org/10.1016/j.jde.2014.05.014

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Journal of Differential Equations - View

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+ PDF Chat	A geometric construction of travelling waves to Keller-Segel type diffusion system with local or nonlocal delay	2024	Shuting Chen Jinde Cao Mahmoud Abdel‐Aty
+	Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach	2020	Zengji Du Jiang Liu Yulin Ren
+ PDF Chat	Stability of Boundary Layers for a Viscous Hyperbolic System Arising from Chemotaxis: One-Dimensional Case	2018	Qianqian Hou Cheng-Jie Liu Ya-Guang Wang Zhi‐An Wang
+ PDF Chat	Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability	2020	José A. Carrillo Jingyu Li Zhi‐An Wang
+ PDF Chat	Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion	2021	Mohammad Ghani Jingyu Li Kaijun Zhang
+	On the vanishing viscosity limit for a 3‐D system arising from the Keller‐Segel model	2019	Linlin Meng Wen‐Qing Xu Shu Wang
+	Dynamical behaviour of a logarithmically sensitive chemotaxis model under time-dependent boundary conditions	2024	Padi Fuster Aguilera Kun Zhao
+	Nonlinear stability of traveling waves to a parabolic-hyperbolic system modeling chemotaxis with periodic perturbations	2023	Hai‐Yang Jin Feifei Zou
+	Convergence of boundary layers for the Keller–Segel system with singular sensitivity in the half-plane	2019	Qianqian Hou Zhi‐An Wang
+	Nonlinear stability of strong traveling waves for the singular Keller–Segel system with large perturbations	2018	Hongyun Peng Zhi‐An Wang

Works Cited by This (28)

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+	From 1970 until present: the Keller-Segel model in chemotaxis and its consequences	2003	Dirk Horstmann
+	Ondelettes, paraproduits et navier-stokes	1995	Marco Cannone
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin
+ PDF Chat	A chemotaxis model motivated by angiogenesis	2003	Lucilla Corrias Benoı̂t Perthame Hatem Zaag
+	Global existence in critical spaces for compressible Navier-Stokes equations	2000	Raphaël Danchin
+	Traveling bands of chemotactic bacteria: A theoretical analysis	1971	Evelyn Fox Keller Lee A. Segel
+	The Existence and Stability of Spike Patterns in a Chemotaxis Model	2005	B. D. Sleeman Michael J. Ward J.C. Wei
+	Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis	2010	Tong Li Zhi‐An Wang
+	On Existence of Global Solutions and Blow-Up to a System of Reaction-Diffusion Equations Modelling Chemotaxis	2001	Yin Yang Hua Chen Weian Liu
+ PDF Chat	On 2D Viscoelasticity with Small Strain	2010	Zhen Lei