Boundary layers and stabilization of the singular Keller-Segel system

DOI10.3934/krm.2018042zbMath1405.92033OpenAlexW2804650924WikidataQ129774822 ScholiaQ129774822MaRDI QIDQ1715964

Zhi-An Wang, Kun Zhao, Changjiang Zhu, Hongyun Peng

Publication date: 29 January 2019

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2018042

zbMATH Keywords

chemotaxisboundary layereffective viscous fluxweighted energy estimateslarge-time behaviorvanishing diffusion limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)

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Riemann problem for a non-strictly hyperbolic system in chemotaxis, Asymptotic behavior of solutions to a chemotaxis-logistic model with transitional end-states, Global well-posedness and boundary layer effects of radially symmetric solutions for the singular Keller-Segel model, Boundary layer problem on the chemotaxis model with Robin boundary conditions, The shock waves for a mixed-type system from chemotaxis, BV solutions to a hyperbolic system of balance laws with logistic growth, Nonlinear stability of strong traveling waves for a chemotaxis model with logarithmic sensitivity and periodic perturbations, Controlled dynamics of a chemotaxis model with logarithmic sensitivity by physical boundary conditions, Asymptotic dynamics of a system of conservation laws from chemotaxis, Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate, Nonlinear stability of planar traveling waves in a chemotaxis model of tumor angiogenesis with chemical diffusion, Asymptotic behaviors and existence of traveling wave solutions to the Keller-Segel model with logarithmic sensitivity, Global stability under dynamic boundary conditions of a nonlinear PDE model arising from reinforced random walks

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