Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas

Communications in Mathematical Physics

Volumn 175, Issue 2, 1996, Pages 259-274

  Matsumura, Akitaka ^a   Yanagi, Shigenori ^b  

^a OSAKA UNIVERSITY   (Japan)

^b EHIME UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030548963     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02102408     Document Type: Article

References (12)

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3. Itaya, N.: A Survey on the Generalized Burger's Equation with Pressure Model Term. J. Math. Kyoto Univ. 16, 223-240 (1976)
4. Kanel', Ya.: On a Model System of Equations of One-Dimensional Gas Motion. Diff. Eqns. 4, 374-380 (1968)
5. Kazhikhov, A.V.: Correctness "In the Large" of Initial-Boundary-Value Problem for Model System of Equations of a Viscous Gas. Din. Sploshnoi Sredy 21, 18-47 (1975)
6. Kazhikhov, A.V., Nikolaev, V.B.: On the Correctness of Boundary Value Problems for the Equations of a Viscous Gas with a Non-Monotonic Function of State. Chislennye Metody Mekh. Sploshnoi Sredy 10, 77-84 (1979)
7. Kazhikhov, A.V., Nikolaev, V.B.: On the Theory of the Navier-Stokes Equations of a Viscous Gas with Nonmonotone State Function. Soviet Math. Dokl. 20, 583-585 (1979)
8. Kazhikhov, A.V., Shelukhin, V.V.: Unique Global Solution with Respect to Time of Initial-Boundary Value Problems for One-Dimensional Equations of a Viscous Gas. J. Appl. Math. Mech. 41, 273-282 (1977)
9. Matsumura, A., Nishida, T.: Periodic Solutions of a Viscous Gas Equation. Lec. Notes in Num. Appl. Anal. 10, 49-82 (1989)
10. Straškraba, I.: Asymptotic Development of Vacuums for 1-D Navier-Stokes Equations of Compressible Flow. Preprint
11. Yanagi, S.: Asymptotic Behavior of the Solutions to a One-Dimensional Motion of Compressible Viscous Fluids. To appear in Mathematica Bohemica
12. Zlotnik, A.A.: On Equations for One-Dimensional Motion of a Viscous Barotropic Gas in the Presence of a Body Force. Sibirskij Mat. Žurnal 33, 62-79 (1992) (Russian)