Volume 11, Issue 3
Global Smooth Solutions and the Asymptotic Behavior of the Motion of a Viscous, Heat-conductive, One-dimensional Real Gas

Ronghua Pan

DOI:

J. Part. Diff. Eq., 11 (1998), pp. 273-288.

Published online: 1998-11

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  • Abstract

The system of balance laws of mass, momentum and energy for a viscous, heal-conductive, one-dimensional real gas is considered. The existence of globally defined smooth solution to an initial boundary value problem is established. Because of the boundary conditions' effect, vacuum will be developped as time tends to infinity.

  • Keywords

Global (local) existence a priori estimate the asymptotic behavior

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@Article{JPDE-11-273, author = {}, title = {Global Smooth Solutions and the Asymptotic Behavior of the Motion of a Viscous, Heat-conductive, One-dimensional Real Gas}, journal = {Journal of Partial Differential Equations}, year = {1998}, volume = {11}, number = {3}, pages = {273--288}, abstract = { The system of balance laws of mass, momentum and energy for a viscous, heal-conductive, one-dimensional real gas is considered. The existence of globally defined smooth solution to an initial boundary value problem is established. Because of the boundary conditions' effect, vacuum will be developped as time tends to infinity.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5570.html} }
TY - JOUR T1 - Global Smooth Solutions and the Asymptotic Behavior of the Motion of a Viscous, Heat-conductive, One-dimensional Real Gas JO - Journal of Partial Differential Equations VL - 3 SP - 273 EP - 288 PY - 1998 DA - 1998/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5570.html KW - Global (local) existence KW - a priori estimate KW - the asymptotic behavior AB - The system of balance laws of mass, momentum and energy for a viscous, heal-conductive, one-dimensional real gas is considered. The existence of globally defined smooth solution to an initial boundary value problem is established. Because of the boundary conditions' effect, vacuum will be developped as time tends to infinity.
Ronghua Pan. (2019). Global Smooth Solutions and the Asymptotic Behavior of the Motion of a Viscous, Heat-conductive, One-dimensional Real Gas. Journal of Partial Differential Equations. 11 (3). 273-288. doi:
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