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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Ferreira, Lucas C. F. [1] ; Planas, Gabriela [1] ; Villamizar-Roa, Elder J. [2]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: SIAM JOURNAL ON MATHEMATICAL ANALYSIS; v. 45, n. 4, p. 2576-2595, 2013.
Web of Science Citations: 8
Abstract

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)

FAPESP's process: 07/51490-7 - Mathematical aspects of incompressible fluid dynamics
Grantee:Milton da Costa Lopes Filho
Support Opportunities: Research Projects - Thematic Grants