Self-similar solutions to a nonlinear parabolic-elliptic system

DOI10.11650/twjm/1500558456zbMath1113.35058OpenAlexW1795594870MaRDI QIDQ1880535

Yūki Naito, Takashi Suzuki

Publication date: 28 September 2004

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

Full work available at URL: https://doi.org/10.11650/twjm/1500558456

zbMATH Keywords

self-similar solutionelliptic systemradial symmetryblow-up analysis

Mathematics Subject Classification ID

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Radially symmetric stationary solutions for certain chemotaxis systems in higher dimensions: a geometric approach ⋮ Large self-similar solutions of the parabolic-elliptic Keller-Segel model ⋮ The basin of attraction of the steady-states for a chemotaxis model in \(\mathbb R^2\) with critical mass ⋮ Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ² ⋮ Non-trivial \({\omega}\)-limit sets and oscillating solutions in a chemotaxis model in \(\mathbb R^2\) with critical mass ⋮ Existence, uniqueness and Lipschitz dependence for Patlak-Keller-Segel and Navier-Stokes in \(\mathbb R^2\) with measure-valued initial data ⋮ On a parabolic-elliptic system with gradient dependent chemotactic coefficient ⋮ On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis ⋮ Asymptotic Estimates for the Parabolic-Elliptic Keller-Segel Model in the Plane

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