Reproductive solution for grade-two fluid model in two dimensions (original) (raw)
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Nonlinear Analysis-real World Applications, 2009
We consider a non-linear viscous bi-layer shallow water model with capillarity effects and extra friction terms in a two-dimensional space. This system is issued from a derivation of a three-dimensional Navier-Stokes equations with water-depth depending on friction coefficients. We prove an existence result for global weak solution in a periodic domain Ω = T 2 .
Existence of global weak solutions for a viscous 2D bilayer Shallow Water model
Comptes Rendus Mathematique, 2011
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Annals of the University of Craiova - Mathematics and Computer Science Series, 2012
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Archive for Rational Mechanics and Analysis, 2010
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