Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum-Reference-Cited by-同舟云学术

Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum

Published:2021 Issue:12 Volume:26 Page:6017
ISSN:1531-3492
Container-title:Discrete & Continuous Dynamical Systems - B
language:
Short-container-title:DCDS-B

Author:

Tang Tong,Sun Jianzhu

Abstract

<p style='text-indent:20px;'>In this paper, we prove the local well-posedness of strong solutions to the density-dependent incompressible magneto-micropolar system with vacuum. There is no assuming compatibility condition on the initial data.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference29 articles.

1. G. Ahmadi, M. Shahinpoor.Universal stability of magneto-micropolar fluid motions, Internat. J. Engrg. Sci., 12 (1974), 657-663.

2. T. Alazard.Low Mach number limit of the full Navier-Stokes equations, Arch. Ration. Mech. Anal., 180 (2006), 1-73.

3. H. J. Choe, H. Kim.Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids, Comm. Partial Differential Equations, 28 (2003), 1183-1201.

4. R. Danchin, B. Ducomet.The low Mach number limit for a barotropic model of radiative flow, SIAM J. Math. Anal., 48 (2016), 1025-1053.

5. R. Danchin, P. B. Mucha.The incompressible Navier-Stokes equations in vacuum, Comm. Pure Appl. Math., 72 (2019), 1351-1385.

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Global well-posedness for 2D nonhomogeneous asymmetric fluids with magnetic field and density-dependent viscosity;Zeitschrift für angewandte Mathematik und Physik;2024-02-10

2. Regularity criteria for nonhomogeneous magneto-micropolar fluid equations with vacuum;Applied Mathematics Letters;2023-07

3. Strong solutions for the Cauchy problem to three-dimensional nonhomogeneous incompressible micropolar fluid equations with vacuum;Journal of Mathematical Analysis and Applications;2023-07

4. Global well-posedness to the nonhomogeneous magneto-micropolar fluid equations with large initial data and vacuum;Discrete and Continuous Dynamical Systems - B;2023

5. Local well-posedness and regularity criterion for nonhomogeneous magneto-micropolar fluid equations without angular viscosity;Dynamics of Partial Differential Equations;2023