TY - JOUR
T1 - Dissipation and Dispersion Approximation to Hydrodynamical Equations and Asymptotic Limit
AU - Ling Hsiao  & Hailiang Li 
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 - <p>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.</p>