@Article{moralesdeluna08saint,
  author   = {Morales de Luna, Tom{\'a}s},
  title    = {{A} {S}aint {V}enant model for gravity driven shallow water flows with variable density and compressibility effects},
  journal  = {Mathematical and Computer Modelling},
  year     = {2008},
  abstract = {We introduce a new model for shallow water flows with non-flat bottom
	made of two layers of compressible{\textendash}incompressible fluids.
	The classical Savage{\textendash}Hutter model for gravity driven
	shallow water flows is derived from incompressible Euler equations.
	Here, we generalize this model by adding an upper compressible layer.
	We obtain a model of shallow water type, that admits an entropy dissipation
	inequality, preserves the steady state of a lake at rest and gives
	an approximation of the free surface compressible{\textendash}incompressible
	Euler equations. Keywords: Shallow water; Variable density; Compressibility;
	Entropy inequality; Savage{\textendash}Hutter model },
  keywords = {Compressibility,Entropy inequality,Savage Hutter model,Shallow water,Variable density},
  url      = {http://www.sciencedirect.com/science?\_ob=ArticleURL{\&}\_udi=B6V0V-4NTJH02-6{\&}\_user=10{\&}\_rdoc=1{\&}\_fmt={\&}\_orig=search{\&}\_sort=d{\&}view=c{\&}\_acct=C000050221{\&}\_version=1{\&}\_urlVersion=0{\&}\_userid=10{\&}md5=c714fddce3783429707813d440feb62a},
}

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