ON THE NONHOMOGENEOUS NAVIER-STOKES SYSTEM WITH NAVIER FRICTION BOUNDARY CONDITIONS

Autor(es)

Ferreira, Lucas C. F. ^[1] ; Planas, Gabriela ^[1] ; Villamizar-Roa, Elder J. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Matemat, Inst Matemat Estat & Computacao Cient, BR-13083859 Campinas, SP - Brazil

^[2] Univ Ind Santander, Escuela Matemat, Bucaramanga 678 - Colombia

• Tipo de documento: Artigo Científico
• Fonte: SIAM JOURNAL ON MATHEMATICAL ANALYSIS; v. 45, n. 4, p. 2576-2595, 2013.
• Citações Web of Science: 8

Resumo

We address the issue of existence of weak solutions for the nonhomogeneous Navier-Stokes system with Navier friction boundary conditions allowing the presence of vacuum zones and assuming rough conditions on the data. We also study the convergence, as the viscosity goes to zero, of weak solutions for the nonhomogeneous Navier-Stokes system with Navier friction boundary conditions to the strong solution of the Euler equations with variable density, provided that the initial data converge in L-2 to a smooth enough limit. (AU)

• Processo FAPESP: 07/51490-7 - Aspectos matemáticos da dinâmica dos fluidos incompressíveis
• Beneficiário: Milton da Costa Lopes Filho
• Modalidade de apoio: Auxílio à Pesquisa - Temático