We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Low Mach number limit of global solutions to 3‐D compressible nematic liquid crystal flows with Dirichlet boundary condition.
- Authors
Zeng, Lan; Ni, Guoxi; Ai, Xiao
- Abstract
In this paper, we consider the uniform estimates of strong solutions in the Mach number ϵ and t ∈ [0,∞) for the compressible nematic liquid crystal flows in a 3‐D bounded domain Ω⊂R3, provided the initial data are small enough and the density is close to the constant state. Here, we consider the case that the velocity field satisfies the Dirichlet boundary condition. Based on the uniform estimates, we obtain the global convergence of the compressible nematic liquid crystal system to the incompressible nematic liquid crystals system as the Mach number tends to zero.
- Subjects
MACH number; NEMATIC liquid crystals
- Publication
Mathematical Methods in the Applied Sciences, 2019, Vol 42, Issue 6, p2053
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.5499