Global existence and convergence rates for the strong solutions in \(H^2\) to the 3D chemotaxis model

DOI10.1155/2013/391056zbMath1397.92104OpenAlexW2109290909WikidataQ59005710 ScholiaQ59005710MaRDI QIDQ1789880

Weijun Xie, Yuandong Xiao, Wei Wei, Ying-Hui Zhang

Publication date: 10 October 2018

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/391056

zbMATH Keywords

strong solutioncoupled hyperbolic-parabolic systeminitial perturbation

Mathematics Subject Classification ID

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) Strong solutions to PDEs (35D35)

Related Items (7)

On the global existence and time-decay rates for a parabolic–hyperbolic model arising from chemotaxis ⋮ Global existence and exponential stability for the strong solutions in \(H^{2}\) to the 3-D chemotaxis model ⋮ The optimal convergence rates for the multi-dimensional chemotaxis model in critical Besov spaces ⋮ Optimal time-decay estimates in the critical framework for a chemotaxis model ⋮ Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations ⋮ Global solutions for a hyperbolic-parabolic system of chemotaxis ⋮ The large-time behavior of the multi-dimensional hyperbolic-parabolic model arising from chemotaxis

This page was built for publication: Global existence and convergence rates for the strong solutions in \(H^2\) to the 3D chemotaxis model