On the asymptotic behavior of the one-dimensional motion of the polytropic ideal gas with stress-free condition
Author:
Takeyuki Nagasawa
Journal:
Quart. Appl. Math. 46 (1988), 665-679
MSC:
Primary 76N15; Secondary 35B40, 35Q20
DOI:
https://doi.org/10.1090/qam/973382
MathSciNet review:
973382
Full-text PDF Free Access
References |
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Additional Information
S. Kawashima, Large-time behavior of solutions to the free boundary problem for the equations of a viscous heat-conductive gas, preprint
- Alexander V. Kazhykhov, Sur la solubilité globale des problèmes monodimensionnels aux valeurs initiales-limitées pour les équations d’un gaz visqueux et calorifère, C. R. Acad. Sci. Paris Sér. A-B 284 (1977), no. 5, A317–A320. MR 428905
- Takeyuki Nagasawa, On the one-dimensional motion of the polytropic ideal gas nonfixed on the boundary, J. Differential Equations 65 (1986), no. 1, 49–67. MR 859472, DOI https://doi.org/10.1016/0022-0396%2886%2990041-0
- Takeyuki Nagasawa, On the outer pressure problem of the one-dimensional polytropic ideal gas, Japan J. Appl. Math. 5 (1988), no. 1, 53–85. MR 924744, DOI https://doi.org/10.1007/BF03167901
- Mari Okada, Free boundary value problems for equations of one-dimensional motion of compressible viscous fluids, Japan J. Appl. Math. 4 (1987), no. 2, 219–235. MR 899911, DOI https://doi.org/10.1007/BF03167775
S. Kawashima, Large-time behavior of solutions to the free boundary problem for the equations of a viscous heat-conductive gas, preprint
A. V. Kazhykhov, Sur le solubilité globale des problèmes monodimensionnels aux valeurs initialeslimitées pour les équations d’un gaz visqueux et calorifère, C. R. Acad. Sci. Paris Sér. A. 284, 317–320 (1977)
T. Nagasawa, On the one-dimensional motion of the polytropic ideal gas non-fixed on the boundary, J. Differential Equations 65, 49–67 (1986)
T. Nagasawa, On the outer pressure problem of the one-dimensional polytropic ideal gas, Japan J. Appl. Math. 5, 53–85 (1988)
M. Okada, Free boundary value problems for the equations of one-dimensional motion of compressible viscous fluids, Japan J. Appl. Math. 4, 219–235 (1987)
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Article copyright:
© Copyright 1988
American Mathematical Society
