The basin of attraction of the steady-states for a chemotaxis model in \(\mathbb R^2\) with critical mass

DOI10.1007/s00205-012-0560-1zbMath1320.35173OpenAlexW1990265922MaRDI QIDQ1944704

Julián López-Gómez, Toshitaka Nagai, Tetsuya Yamada

Publication date: 27 March 2013

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-012-0560-1

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Positive solutions to PDEs (35B09) Quasilinear parabolic equations (35K59) Initial value problems for mixed-type systems of PDEs (35M31)

Related Items

Critical curve for a two-species chemotaxis model with two chemicals in R2 * ⋮ Unnamed Item ⋮ Global existence of free-energy solutions to the 2D Patlak-Keller-Segel-Navier-Stokes system with critical and subcritical mass ⋮ Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production ⋮ Non-trivial \({\omega}\)-limit sets and oscillating solutions in a chemotaxis model in \(\mathbb R^2\) with critical mass ⋮ Uniqueness and convergence on equilibria of the Keller–Segel system with subcritical mass ⋮ Boundedness of solutions to a parabolic-elliptic Keller-Segel equation in \(\mathbb{R}^{2}\) with critical mass

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