Asymptotic stability of a decaying solution to the Keller-Segel system of degenerate type.

zbMath1224.35229MaRDI QIDQ631382

Takayoshi Ogawa

Publication date: 23 March 2011

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilityinitial value problemKeller-Segel system of degenerate typeparabolic elliptic system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59) Initial value problems for mixed-type systems of PDEs (35M31)

Related Items (9)

Stability and instability of solutions to the drift-diffusion system ⋮ Finite time blow up and non-uniform bound for solutions to a degenerate drift-diffusion equation with the mass critical exponent under non-weight condition ⋮ Finite-time blow-up for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type ⋮ Hölder estimates for solutions of the Cauchy problem for the porous medium equation with external forces ⋮ Finite-time blow-up for solutions to a degenerate drift-diffusion equation for a fast-diffusion case ⋮ \(L ^1\) convergence to the Barenblatt solution for compressible Euler equations with damping ⋮ The rate of concentration for the radially symmetric solution to a degenerate drift-diffusion equation with the mass critical exponent ⋮ Asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case ⋮ Threshold of global behavior of solutions to a degenerate drift-diffusion system in between two critical exponents

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