The solvability of some chemotaxis systems

DOI10.1016/j.jde.2005.01.002zbMath1073.35110OpenAlexW2022846098MaRDI QIDQ1779294

Yin Yang, Hua Chen, Sleeman, Brian D., Wei-An Liu

Publication date: 1 June 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2005.01.002

zbMATH Keywords

blow upexistence of classical solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Cell movement (chemotaxis, etc.) (92C17)

Related Items (14)

Global existence and exponential stability for the strong solutions in \(H^{2}\) to the 3-D chemotaxis model ⋮ Oscillatory traveling wave solutions to an attractive chemotaxis system ⋮ A free boundary problem for a class of parabolic-elliptic type chemotaxis model ⋮ Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity ⋮ The vanishing viscosity limit on a model of Kareiva-Odell type in 2D ⋮ Well-posedness of a 3D parabolic-hyperbolic Keller-Segel system in the Sobolev space framework ⋮ Blow-up, quenching, aggregation and collapse in a chemotaxis model with reproduction term ⋮ Global existence and large time behavior of a 2D Keller-Segel system in logarithmic Lebesgue spaces ⋮ Global well-posedness and zero diffusion limit of classical solutions to 3D conservation laws arising in chemotaxis ⋮ Global and non-global solutions to some chemotaxis model ⋮ A free boundary problem for a class of parabolic type chemotaxis model ⋮ On the vanishing viscosity limit of a chemotaxis model ⋮ Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion ⋮ Asymptotic stability of a composite wave of two traveling waves to a hyperbolic-parabolic system modeling chemotaxis

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