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LONG-TIME DYNAMICS FOR A NON-AUTONOMOUS NAVIER-STOKES-VOIGT EQUATION IN LIPSCHITZ DOMAINS

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Autor(es):
Yang, Xinguang ; Feng, Baowei ; de Souza, Thales Maier ; Wang, Taige
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 24, n. 1, p. 24-pg., 2019-01-01.
Resumo

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 H-0(1) boolean AND H-2 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. (AU)

Processo FAPESP: 14/17080-0 - Sistemas dinâmicos não autônomos de equações de evolução em domínios de fronteira móvel
Beneficiário:Xinguang Yang
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado