Time-decay estimates for Keller-Segel system

DOI10.1007/s10114-021-0309-6zbMath1464.35025OpenAlexW3123765015MaRDI QIDQ2025261

Meng Wang, Zhen Bin Cao, Xiao-Feng Liu

Publication date: 11 May 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-021-0309-6

zbMATH Keywords

global solutionslong time asymptotic behaviorcritical scaling-invariant Besov spaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59)

Cites Work

• Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
• Existence, uniqueness and asymptotic behavior of the solutions to the fully parabolic Keller-Segel system in the plane
• On the uniqueness in critical spaces for compressible Navier-Stokes equations
• Uniqueness and long time asymptotics for the parabolic–parabolic Keller–Segel equation
• Fourier Analysis and Nonlinear Partial Differential Equations
• Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow

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