Non-existence of finite-time self-similar solutions of the Keller-Segel system in the scaling invariant class
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Publication:847749
DOI10.1016/j.jmaa.2009.09.063zbMath1188.35037OpenAlexW2013963926MaRDI QIDQ847749
Hideo Kozono, Ryo Takada, Yoshie Sugiyama
Publication date: 19 February 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.09.063
Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Self-similar solutions to PDEs (35C06)
Related Items (4)
Blow-up and delay for a parabolic-elliptic Keller-Segel system with a source term ⋮ Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation ⋮ Blow-up profiles for a semilinear chemotaxis system arising in biology ⋮ On a Keller-Segel system with logarithmic sensitivity and non-diffusive chemical
Cites Work
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- Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2
- The Keller-Segel system of parabolic-parabolic type with initial data in weak $L^{n/2}(\mathbb{R}^n)$ and its application to self-similar solutions
- Self-similarity in chemotaxis systems
- Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\)
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