Minimal Mass Blowup Solutions for the Patlak-Keller-Segel Equation

Author:

Ghoul Tej-Eddine1,Masmoudi Nader1

Affiliation:

1. Department of Mathematics; New York University in Abu Dhabi, Saadiyat Island, P.O. Box 129188; Abu Dhabi UNITED ARAB EMIRATES

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Reference35 articles.

1. Convergence of the mass-transport steepest descent scheme for the subcritical Patlak-Keller-Segel model;Blanchet;SIAM J. Numer. Anal.,2008

2. Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model;Blanchet;J. Func. Anal.

3. Infinite time aggregation for the critical Patlak-Keller-Segel model in ℝ2;Blanchet;Comm. Pure Appl. Math.,2008

4. Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model;Blanchet;J. Math. Anal. Appl.,2010

5. Two-dimensional Keller-Segel model: optimal critical mass and qualitative properties of the solution;Blanchet;Electron. J. Differential Equations,2006

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1. Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System;Archive for Rational Mechanics and Analysis;2024-06-18

2. Stability of the Couette flow for the two dimensional Chemotaxis-Navier–Stokes system;Nonlinear Analysis: Real World Applications;2024-06

3. Long-time dynamics of classical Keller–Segel equation;Nonlinear Analysis: Real World Applications;2024-04

4. Stable Singularity Formation for the Keller–Segel System in Three Dimensions;Archive for Rational Mechanics and Analysis;2024-01-05

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