Strong solutions for a 1D viscous bilayer shallow water model
نویسندگان
چکیده
منابع مشابه
Strong solutions for a 1D viscous bilayer Shallow Water model
In this paper, we consider a viscous bilayer shallow water model in one space dimension that represents two superposed immiscible fluids. For this model, we prove the existence of strong solutions in a periodic domain. The initial heights are required to be bounded above and below away from zero and we get the same bounds for every time. Our analysis is based on the construction of approximate ...
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We establish the inviscid limit of the viscous shallow water equations to the Saint-Venant system. For the viscous equations, the viscosity terms are more degenerate when the shallow water is close to the bottom, in comparison with the classical NavierStokes equations for barotropic gases; thus the analysis in our earlier work for the classical Navier-Stokes equations does not apply directly, w...
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This paper is dedicated to the study of both viscous compressible barotropic fluids and Navier-Stokes equation with dependant density, when the viscosity coefficients are variable, in dimension d ≥ 2. We aim at proving the local and global well-posedness for respectively large and small initial data having critical Besov regularity and more precisely we are interested in extending the class of ...
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The method of weak asymptotics is used to find singular solutions of the shallow-water system which can contain Dirac-δ distributions (Espinosa & Omel’yanov, 2005). Complex-valued approximations which become real-valued in the distributional limit are shown to extend the range of possible singular solutions. It is shown, in this paper, how this approach can be used to construct solutions contai...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Real World Applications
سال: 2013
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2012.09.012