Minimal Mass Blowup Solutions for the Patlak‐Keller‐Segel Equation
From MaRDI portal
Publication:4553825
DOI10.1002/cpa.21787zbMath1404.35457OpenAlexW2887515312WikidataQ129365652 ScholiaQ129365652MaRDI QIDQ4553825
Nader Masmoudi, Tej-Eddine Ghoul
Publication date: 1 November 2018
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.21787
PDEs in connection with biology, chemistry and other natural sciences (35Q92) PDEs of mixed type (35M10) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)
Related Items (14)
Critical curve for a two-species chemotaxis model with two chemicals in R2 * ⋮ Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities ⋮ Fast Diffusion leads to partial mass concentration in Keller–Segel type stationary solutions ⋮ Global existence for a kinetic model of pattern formation with density-suppressed motilities ⋮ Global existence of free-energy solutions to the 2D Patlak-Keller-Segel-Navier-Stokes system with critical and subcritical mass ⋮ Critical mass for Keller–Segel systems with supercritical nonlinear sensitivity ⋮ Collapsing-ring blowup solutions for the Keller-Segel system in three dimensions and higher ⋮ Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System ⋮ Stable singularity formation for the Keller-Segel system in three dimensions ⋮ Global solutions of aggregation equations and other flows with random diffusion ⋮ Bubbling Blow-Up in Critical Parabolic Problems ⋮ The convergence rate of the fast signal diffusion limit for a Keller–Segel–Stokes system with large initial data ⋮ Facing low regularity in chemotaxis systems ⋮ On the critical mass Patlak-Keller-Segel system for multi-species populations: global existence and infinte time aggregation
This page was built for publication: Minimal Mass Blowup Solutions for the Patlak‐Keller‐Segel Equation
