Nonlinear stability of strong traveling waves for the singular Keller-Segel system with large perturbations
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Publication:1753230
DOI10.1016/j.jde.2018.04.041zbMath1397.35318OpenAlexW2802099960MaRDI QIDQ1753230
Publication date: 28 May 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.04.041
chemotaxisnonlinear stabilitydiscontinuous datatraveling wave solutionslogarithmic sensitivitylarge perturbation
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Traveling wave solutions (35C07)
Related Items (10)
Asymptotic behavior of solutions to a chemotaxis-logistic model with transitional end-states ⋮ BV solutions to a hyperbolic system of balance laws with logistic growth ⋮ Traveling waves and their spectral instability in volume-filling chemotaxis model ⋮ Controlled dynamics of a chemotaxis model with logarithmic sensitivity by physical boundary conditions ⋮ Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach ⋮ Asymptotic dynamics of a system of conservation laws from chemotaxis ⋮ Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions ⋮ Nonlinear stability of planar traveling waves in a chemotaxis model of tumor angiogenesis with chemical diffusion ⋮ Traveling waves and their spectral stability in Keller-Segel system with large cell diffusion ⋮ Global stability under dynamic boundary conditions of a nonlinear PDE model arising from reinforced random walks
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