Dissipation and Dispersion Approximation to Hydrodynamical Equations and Asymptotic Limit

Dissipation and Dispersion Approximation to Hydrodynamical Equations and Asymptotic Limit

Year:    2008

Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 1 : pp. 59–76

Abstract

The compressible Euler equations with dissipation and/or dispersion correction are widely used in the area of applied sciences, for instance, plasma physics, charge transport in semiconductor devices, astrophysics, geophysics, etc. We consider the compressible Euler equation with density-dependent (degenerate) viscosities and capillarity, and investigate the global existence of weak solutions and asymptotic limit.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-JPDE-5269

Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 1 : pp. 59–76

Published online:    2008-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Hydrodynamics