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- Title
LONG-TIME DYNAMICS FOR A NON-AUTONOMOUS NAVIER-STOKES-VOIGT EQUATION IN LIPSCHITZ DOMAINS.
- Authors
Yang, Xinguang; Feng, Baowei; Souza, Thales Maier de; Wang, Taige
- Abstract
This article focuses on the optimal regularity and long-time dynamics of solutions of a Navier-Stoke-Voigt equation with non-autonomous body forces in non-smooth domains. Optimal regularity is considered, since the regularity H10 ∩ H2 cannot be achieved. Given the initial data in certain spaces, it can be shown that the problem generates a well-defined evolutionary process. Then we prove the existence of a uniform attractor consisting of complete trajectories.
- Subjects
NAVIER-Stokes equations; LIPSCHITZ spaces; ATTRACTORS (Mathematics); TRAJECTORIES (Mechanics); VOIGT effect
- Publication
Discrete & Continuous Dynamical Systems - Series B, 2019, Vol 24, Issue 1, p363
- ISSN
1531-3492
- Publication type
Article
- DOI
10.3934/dcdsb.2018084