메뉴 건너뛰기




Volumn 126, Issue 6, 1996, Pages 1309-1340

Resolution of the spherical piston problem for compressible isentropic gas dynamics via a self-similar viscous limit

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33746993064     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500023428     Document Type: Article
Times cited : (20)

References (29)
  • 4
    • 0015746230 scopus 로고
    • Solution of the Riemann problem for a class of hyperbolic conservation laws by the viscosity method
    • C. M. Dafermos. Solution of the Riemann problem for a class of hyperbolic conservation laws by the viscosity method. Arch. Rational Mech. Anal. 52 (1973), 1-9.
    • (1973) Arch. Rational Mech. Anal. , vol.52 , pp. 1-9
    • Dafermos, C.M.1
  • 5
    • 0015960577 scopus 로고
    • Structure of solutions of the Riemann problem for hyperbolic systems of conservation laws
    • C. M. Dafermos. Structure of solutions of the Riemann problem for hyperbolic systems of conservation laws. Arch. Rational Mech. Anal. 53 (1974), 203-17.
    • (1974) Arch. Rational Mech. Anal. , vol.53 , pp. 203-217
    • Dafermos, C.M.1
  • 6
    • 0000410109 scopus 로고
    • Admissible wave fans in nonlinear hyperbolic systems
    • C. M. Dafermos. Admissible wave fans in nonlinear hyperbolic systems. Arch. Rational Mech. Anal. 106 (1989), 243-60.
    • (1989) Arch. Rational Mech. Anal. , vol.106 , pp. 243-260
    • Dafermos, C.M.1
  • 7
    • 0040094984 scopus 로고
    • The Riemann problem for certain classes of hyperbolic systems of conservation laws
    • C. M. Dafermos and R. J. DiPerna. The Riemann problem for certain classes of hyperbolic systems of conservation laws. J. Differential Equations 20 (1976), 90-114.
    • (1976) J. Differential Equations , vol.20 , pp. 90-114
    • Dafermos, C.M.1    DiPerna, R.J.2
  • 8
    • 0000244567 scopus 로고
    • A limiting 'viscosity approach' to the Riemann problem for materials exhibiting change of phase (II)
    • H. T. Fan. A limiting 'viscosity approach' to the Riemann problem for materials exhibiting change of phase (II). Arch. Rational Mech. Anal. 116 (1992), 317-38.
    • (1992) Arch. Rational Mech. Anal. , vol.116 , pp. 317-338
    • Fan, H.T.1
  • 9
    • 85033056689 scopus 로고    scopus 로고
    • Self-similar solutions for a modified Broadwell model and its fluid dynamic limits
    • to appear
    • H. T. Fan. Self-similar solutions for a modified Broadwell model and its fluid dynamic limits. SIAM J. Math. Anal. (to appear).
    • SIAM J. Math. Anal.
    • Fan, H.T.1
  • 10
    • 0000894087 scopus 로고
    • Spherically symmetric solutions of the Navier-Stokes equations for compressible, isothermal flow with large, discontinuous initial data
    • D. Hoff. Spherically symmetric solutions of the Navier-Stokes equations for compressible, isothermal flow with large, discontinuous initial data. Indiana Univ. Math. J. 41 (1992), 1225-302.
    • (1992) Indiana Univ. Math. J. , vol.41 , pp. 1225-1302
    • Hoff, D.1
  • 12
    • 0007048761 scopus 로고
    • Construction of generalized solutions of quasi-linear equations of first order without convexity conditions as limits of solutions of parabolic equations with a small parameter
    • in Russian
    • A. S. Kalasnikov. Construction of generalized solutions of quasi-linear equations of first order without convexity conditions as limits of solutions of parabolic equations with a small parameter. Dokl. Akad. Nauk. SSSR 127 (1957), 27-30 (in Russian).
    • (1957) Dokl. Akad. Nauk. SSSR , vol.127 , pp. 27-30
    • Kalasnikov, A.S.1
  • 13
    • 0042031547 scopus 로고
    • A viscosity approximation to a system of conservation laws with no classical Riemann solutions
    • Proceedings of International Conference on Nonlinear Hyperbolic Problems eds C. Carasso, I. Charrier, B. Hanouzet, J. L. Joly, Springer-Verlag, Berlin-Heidelberg
    • B. Keyfitz and H. Kranzer. A viscosity approximation to a system of conservation laws with no classical Riemann solutions. In Proceedings of International Conference on Nonlinear Hyperbolic Problems pp. 185-97, eds C. Carasso, I. Charrier, B. Hanouzet, J. L. Joly, Springer Lecture Notes in Mathematics, (Springer-Verlag, Berlin-Heidelberg, 1989).
    • (1989) Springer Lecture Notes in Mathematics , pp. 185-197
    • Keyfitz, B.1    Kranzer, H.2
  • 15
    • 0002229771 scopus 로고
    • The global weak solutions of compressible Euler equations with spherical symmetry
    • T. Makino, K. Mizohata and S. Ukai. The global weak solutions of compressible Euler equations with spherical symmetry. Japan J. Indust. Appl. Math. 9 (1992), 431-49.
    • (1992) Japan J. Indust. Appl. Math. , vol.9 , pp. 431-449
    • Makino, T.1    Mizohata, K.2    Ukai, S.3
  • 16
    • 33746979273 scopus 로고
    • Global weak solutions of the compressible Euler equations with spherical symmetry (II)
    • T. Makino, K. Mizohata and S. Ukai. Global weak solutions of the compressible Euler equations with spherical symmetry (II). Res. Rep. Inf. Sci, Tokyo Inst. Tech., A-111 (1993).
    • (1993) Res. Rep. Inf. Sci, Tokyo Inst. Tech. , vol.A-111
    • Makino, T.1    Mizohata, K.2    Ukai, S.3
  • 19
    • 0000697848 scopus 로고
    • A limiting 'viscosity' approach to the Riemann problem for materials exhibiting change of phase
    • M. Slemrod. A limiting 'viscosity' approach to the Riemann problem for materials exhibiting change of phase. Arch. Rational Mech. Anal. 105 (1989), 327-65.
    • (1989) Arch. Rational Mech. Anal. , vol.105 , pp. 327-365
    • Slemrod, M.1
  • 20
    • 85027663020 scopus 로고    scopus 로고
    • A comparison of two viscous regularizations of the Riemann problem for Burgers' equation
    • to appear
    • M. Slemrod. A comparison of two viscous regularizations of the Riemann problem for Burgers' equation. SIAM J. Math. Anal. (to appear).
    • SIAM J. Math. Anal.
    • Slemrod, M.1
  • 21
    • 0006997044 scopus 로고
    • A limiting viscosity approach for the Riemann problem for isentropic gas dynamics
    • M. Slemrod and A. E. Tzavaras. A limiting viscosity approach for the Riemann problem for isentropic gas dynamics. Indiana Univ. Math. J. 38 (1989), 1047-74.
    • (1989) Indiana Univ. Math. J. , vol.38 , pp. 1047-1074
    • Slemrod, M.1    Tzavaras, A.E.2
  • 22
    • 21144465362 scopus 로고
    • Self-similar fluid dynamic limits for the Broadwell system
    • M. Slemrod and A. E. Tzavaras. Self-similar fluid dynamic limits for the Broadwell system. Arch. Rational Mech. Anal. 122 (1993), 353-92.
    • (1993) Arch. Rational Mech. Anal. , vol.122 , pp. 353-392
    • Slemrod, M.1    Tzavaras, A.E.2
  • 23
    • 78751551298 scopus 로고
    • The air wave surrounding an expanding sphere
    • G. I. Taylor. The air wave surrounding an expanding sphere. Proc. Roy. Soc. London Ser. A 186 (1946), 273-92.
    • (1946) Proc. Roy. Soc. London Ser. A , vol.186 , pp. 273-292
    • Taylor, G.I.1
  • 24
    • 0039503321 scopus 로고
    • Collapse of an arbitrary discontinuity for a system of two quasilinear first order equations
    • V. A. Tupciev. Collapse of an arbitrary discontinuity for a system of two quasilinear first order equations. Z. Vycisl. Mat. i Fiz. 4 (1964), 817-25;
    • (1964) Z. Vycisl. Mat. I Fiz. , vol.4 , pp. 817-825
    • Tupciev, V.A.1
  • 25
    • 0038910703 scopus 로고
    • English translation
    • English translation: USSR Comput. Math, and Math. Physics (5) 4 (1964), 36-48.
    • (1964) USSR Comput. Math, and Math. Physics , vol.4 , Issue.5 , pp. 36-48
  • 26
    • 0040688483 scopus 로고
    • On the method of introducing viscosity in the study of problems involving decay of a discontinuity
    • V. A. Tupciev. On the method of introducing viscosity in the study of problems involving decay of a discontinuity. Dokl. Acad. Nauk SSSR 211 (1973), 55-8;
    • (1973) Dokl. Acad. Nauk SSSR , vol.211 , pp. 55-58
    • Tupciev, V.A.1
  • 27
    • 0038910702 scopus 로고
    • English translation
    • English translation: Soviet Math. Dokl. 14 (1973), 978-82.
    • (1973) Soviet Math. Dokl. , vol.14 , pp. 978-982
  • 28
    • 85033056597 scopus 로고    scopus 로고
    • Elastic as a limit of viscoelastic response, in a context of self-similar viscous limits
    • to appear
    • A. E. Tzavaras. Elastic as a limit of viscoelastic response, in a context of self-similar viscous limits. J. Differential Equations (to appear).
    • J. Differential Equations
    • Tzavaras, A.E.1
  • 29
    • 85033056744 scopus 로고    scopus 로고
    • Wave structure induced by the fluid dynamic limits in the Broadwell model
    • submitted
    • A. E. Tzavaras. Wave structure induced by the fluid dynamic limits in the Broadwell model. Arch. Rational Mech. Anal. (submitted).
    • Arch. Rational Mech. Anal.
    • Tzavaras, A.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.