Global existence of large strong solutions to the 3D compressible micropolar equations with density-dependent viscosities
Year: 2026
Type: preprint
Abstract: In this paper, we consider the Cauchy problem for the three-dimensional (3D) compressible micropolar equations with density-dependent viscosities. By classical $L^p$ estimates to elliptic system, defining suitable energy functions, after the elaborate index analysis, we establish the global existence of strong solutions to the system with all viscosities depending density as long as the initial density is large enough. By product, We also prove the existence of global large strong solutions with only large initial shear viscosity $μ_1(ρ)$ and angular viscosity $μ_2(ρ)$, which consists with the research work \cite{ZZ2014} of 3D compressible Navier-Stokes equations with constant viscosities and improve the recent result of \cite{HLZ} in some extent where they requiring both initial shear viscosity and bulk viscosity to be large.
Source: arXiv (Cornell University)
Authors: Liu, Tiantian, Xu, Xinying
Institution: Xiamen University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G3911217663
OpenAlex ID: W7221816197