Abels, Helmut and Dolzmann, Georg and Liu, YuNing (2016) STRONG SOLUTIONS FOR THE BERIS-EDWARDS MODEL FOR NEMATIC LIQUID CRYSTALS WITH HOMOGENEOUS DIRICHLET BOUNDARY CONDITIONS. ADVANCES IN DIFFERENTIAL EQUATIONS, 21 (1-2). pp. 109-152. ISSN 1079-9389,
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Existence and uniqueness of local strong solutions for the Beris-Edwards model for nematic liquid crystals, which couples the Navier-Stokes equations with an evolution equation for the Q-tensor, is established on a bounded domain Omega subset of R-d in the case of homogeneous Dirichlet boundary conditions. The classical Beris-Edwards model is enriched by including a dependence of the fluid viscosity on the Q-tensor. The proof is based on a linearization of the system and Banach's fixed-point theorem.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Q-TENSOR SYSTEM; CONSTITUTIVE EQUATIONS; WEAK SOLUTIONS; NAVIER-STOKES; FLOW; REGULARITY; ORDER; FIELD; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Mar 2019 12:36 |
| Last Modified: | 06 Mar 2019 08:37 |
| URI: | https://pred.uni-regensburg.de/id/eprint/2174 |
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