Stability of planar traveling waves in a Keller-Segel equation on an infinite strip domain
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Publication:1743809
DOI10.1016/j.jde.2018.02.034zbMath1392.92037arXiv1609.00821OpenAlexW2963210555MaRDI QIDQ1743809
Myeongju Chae, Jihoon Lee, Kyudong Choi, Kyungkeun Kang
Publication date: 16 April 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.00821
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Initial value problems for second-order parabolic systems (35K45) Traveling wave solutions (35C07)
Related Items (17)
Stability of Boundary Layers for a Viscous Hyperbolic System Arising from Chemotaxis: One-Dimensional Case ⋮ Global well-posedness and boundary layer effects of radially symmetric solutions for the singular Keller-Segel model ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ Acceleration of propagation in a chemotaxis‐growth system with slowly decaying initial data ⋮ Nonlinear stability of strong traveling waves for a chemotaxis model with logarithmic sensitivity and periodic perturbations ⋮ Nonlinear stability of traveling waves to a parabolic-hyperbolic system modeling chemotaxis with periodic perturbations ⋮ Contraction for large perturbations of traveling waves in a hyperbolic–parabolic system arising from a chemotaxis model ⋮ Global well-posedness of large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model ⋮ Boundary layers and stabilization of the singular Keller-Segel system ⋮ Nonlinear stability of strong traveling waves for the singular Keller-Segel system with large perturbations ⋮ Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane ⋮ On a singularly perturbed semi-linear problem with Robin boundary conditions ⋮ Eventual smoothness and stabilization of global weak solutions in parabolic-elliptic chemotaxis systems with logarithmic sensitivity ⋮ Nonlinear stability of planar traveling waves in a chemotaxis model of tumor angiogenesis with chemical diffusion ⋮ A reducing mechanism on wave speed for chemotaxis systems with degenerate diffusion ⋮ Global weak solutions and asymptotics of a singular PDE-ODE chemotaxis system with discontinuous data ⋮ Well-posedness and singularity formation for inviscid Keller-Segel-fluid system of consumption type
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