Self-similar solutions to a parabolic system modeling chemotaxis

DOI10.1006/jdeq.2001.4146zbMath1016.35037OpenAlexW1996447953MaRDI QIDQ701085

Kiyoshi Yoshida, Yūki Naito, Takashi Suzuki

Publication date: 16 October 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4146

zbMATH Keywords

blow-upmethod of moving planesradial symmetry

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17)

Related Items

On the well-posedness for Keller-Segel system with fractional diffusion, Blow-up, Concentration Phenomenon and Global Existence for the Keller–Segel Model in High Dimension, Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space, The parabolic-parabolic Keller-Segel equation, Spreading speeds of a parabolic-parabolic chemotaxis model with logistic source on \(\mathbb{R}^N\), Self-similar radial solutions to a class of strongly coupled reaction-diffusion systems with cross-diffusion, Uniqueness and long time asymptotics for the parabolic–parabolic Keller–Segel equation, Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis, Existence, uniqueness and Lipschitz dependence for Patlak-Keller-Segel and Navier-Stokes in \(\mathbb R^2\) with measure-valued initial data, Onofri inequalities and rigidity results, Existence, uniqueness and asymptotic behavior of the solutions to the fully parabolic Keller-Segel system in the plane, BLOW-UP ANALYSIS FOR LIOUVILLE TYPE EQUATION IN SELF-DUAL GAUGE FIELD THEORIES, Two‐dimensional chemotaxis models with fractional diffusion

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