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Formal derivation and existence of global weak solutions of a two-dimensional bilayer model coupling shallow water and Reynolds lubrication equations

  • Published:2016-09-07 Issue:3-4 Volume:99 Page:207-239
  • ISSN:1875-8576
  • Container-title:Asymptotic Analysis
  • language:
  • Short-container-title:ASY

Author:

Roamba Brahima1,de Dieu Zabsonré Jean2,Traoré Sado1

Affiliation:

1. UFR/ST, Université Polytechnique de Bobo-Dioulasso, 10 BP 1091 Bobo-Dioulasso, Burkina Faso. E-mails: braroamba@gmail.com, traore.sado@yahoo.fr

2. IUT, Université Polytechnique de Bobo-Dioulasso, 10 BP 1091 Bobo-Dioulasso, Burkina Faso. E-mail: jzabsonre@gmail.com

Publisher

IOS Press

Subject

General Mathematics

Reference19 articles.

1. A multilayer Saint-Venant model;Audusse;Disc. Cont. Dyn. Systems, B,2005

2. Existence of global weak solution for 2D viscous shallow water equations and convergence to the quasi-geostrophic model;Bresch;Comm. Math. Phys.,2003

3. Some diffusive capillary model of Korteweg type;Bresch;C. R. Acad. Sci. Paris, Section Mécanique,2004

4. On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier–Stokes models;Bresch;J. Math. Pures Appl.,2006

5. On compressible Navier–Stokes equations with density dependent viscosities in bounded domains;Bresch;J. Math. Pures Appl.,2007

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