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Volume 21, Issue 1
Dissipation and Dispersion Approximation to Hydrodynamical Equations and Asymptotic Limit

Ling Hsiao & Hailiang Li

J. Part. Diff. Eq., 21 (2008), pp. 59-76.

Published online: 2008-02

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  • 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.

  • Keywords

Hydrodynamics degenerate viscosities dispersion limit

  • AMS Subject Headings

35B40 82D37.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-21-59, author = {Ling Hsiao and Hailiang Li }, title = {Dissipation and Dispersion Approximation to Hydrodynamical Equations and Asymptotic Limit}, journal = {Journal of Partial Differential Equations}, year = {2008}, volume = {21}, number = {1}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5269.html} }
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 -

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.

Ling Hsiao and Hailiang Li . (2008). Dissipation and Dispersion Approximation to Hydrodynamical Equations and Asymptotic Limit. Journal of Partial Differential Equations. 21 (1). 59-76. doi:
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