Open AccessGlobal existence of classical solutions for the 2D chemotaxis-fluid system with logistic source
Author(s) -
Yina Lin,
Qian Zhang,
Meng Zhou
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom