TY - JOUR T1 - Dissipation and Dispersion Approximation to Hydrodynamical Equations and Asymptotic Limit JO - Journal of Partial Differential Equations VL - 1 SP - 59 EP - 76 PY - 2008 DA - 2008/02 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5269.html KW - Hydrodynamics KW - degenerate viscosities KW - dispersion limit AB -

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.