Global solutions for a 2D chemotaxis-fluid system with large measures as initial density and vorticity

Author:

Ferreira Lucas C. F.,Lima Daniel P. A.1

Affiliation:

1. DCEX-State University of Santa Cruz, Campus Soane Nazaré de Andrade, Rodovia Jorge Amado, km16, Bairro Salobrinho, 45662-900, Ilhéus, BA, Brazil

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference36 articles.

1. Existence, Uniqueness and Lipschitz Dependence for Patlak–Keller–Segel and Navier–Stokes in $${\mathbb{R}^2}$$ R 2 with Measure-Valued Initial Data

2. The Cauchy problem and self-similar solutions for a nonlinear parabolic equation

3. Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2

4.

A. Blanchet, J. Dolbeault and B. Perthame, Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions, Electron. J. Differential Equations, 2006 (2006), 32 pp.

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