Logarithmic scaling of the collapse in the critical Keller–Segel equation

DOI10.1088/0951-7715/26/11/3011zbMath1278.35029arXiv1301.5604OpenAlexW3103037922MaRDI QIDQ2864565

Natalia Vladimirova, Sergey A. Dyachenko, Pavel M. Lushnikov

Publication date: 25 November 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5604

zbMATH Keywords

scaling lawparabolic-elliptic systemasymptotic perturbation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Analyticity in context of PDEs (35A20) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06)

Related Items (7)

Spectral analysis for singularity formation of the two dimensional Keller-Segel system ⋮ Quasiperiodic perturbations of Stokes waves: secondary bifurcations and stability ⋮ Global existence and singularity formation for the generalized Constantin–Lax–Majda equation with dissipation: the real line vs. periodic domains ⋮ Collapse versus blow-up and global existence in the generalized Constantin-Lax-Majda equation ⋮ A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation ⋮ Structure and location of branch point singularities for Stokes waves on deep water ⋮ Modeling chemotaxis with nonstandard production/degradation mechanisms from Doebner-Goldin theory: existence of solitary waves

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