Global stability of large solutions for the Navier-Stokes equations with Navier boundary conditions

Autor(es)

Benvenutti, Maicon J. ^[1] ; Ferreira, Lucas C. F. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Santa Catarina, Campus Blumenau, BR-89065300 Blumenau, SC - Brazil

^[2] Univ Estadual Campinas, IMECC Dept Matemat, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 43, p. 308-322, OCT 2018.
• Citações Web of Science: 0

Resumo

We prove global stability of strong large solutions for the 3D incompressible Navier-Stokes equations with Navier slip boundary conditions. This result is obtained under an integrable property that depends on these slip conditions. In addition, we show that strong helical solutions are global in time. Combining the latter with the stability result, we provide a class of 3D global large solutions with perturbations of helical vector-fields as initial data. (C) 2018 Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 16/16104-8 - EDPs e fluxos gradientes dependentes do tempo em espaços rugosos
• Beneficiário: Lucas Catão de Freitas Ferreira
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 13/21819-8 - Existência e estabilidade de soluções grandes para alguns modelos em mecânica dos fluidos
• Beneficiário: Maicon José Benvenutti
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado