Global existence of strong solutions to the micro-polar, compressible flow with density-dependent viscosities
نویسندگان
چکیده
منابع مشابه
Global existence of solutions for flows of fluids with pressure and shear dependent viscosities
There is clear and incontrovertible evidence that the viscosity of many liquids depends on the pressure. While the density, as the pressure is increased by orders of magnitude, suffers small changes in its value, the viscosity changes dramatically. It can increase exponentially with pressure. In many fluids, there is also considerable evidence for the viscosity to depend on the rate of deformat...
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We consider Navier-Stokes equations for compressible viscous fluids in one dimension. It is a well known fact that if the initial datum are smooth and the initial density is bounded by below by a positive constant, then a strong solution exists locally in time. In this paper, we show that under the same hypothesis, the density remains bounded by below by a positive constant uniformly in time, a...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2011
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2011-13