Open AccessGlobal existence of classical solutions for the 2D chemotaxis-fluid system with logistic source
Author(s) -
Yina Lin,
AUTHOR_ID,
Qian Zhang,
Meng Zhou,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022403
Subject(s) - chemotaxis , dimension (graph theory) , mathematics , compressibility , initial value problem , mathematical analysis , cauchy distribution , cauchy problem , pure mathematics , physics , mechanics , medicine , receptor
In this paper, we consider the incompressible chemotaxis-Navier-Stokes equations with logistic source in spatial dimension two. We first show a blow-up criterion and then establish the global existence of classical solutions to the system for the Cauchy problem under some rough conditions on the initial data.