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Volumn 58, Issue 1, 2000, Pages 69-83

Global asymptotics toward the rarefaction wave for solutions of viscous p-system with boundary effect

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL FLUID DYNAMICS; PROBLEM SOLVING; VISCOUS FLOW;

EID: 0033886978     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1738558     Document Type: Article
Times cited : (79)

References (9)
  • 1
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    • On a model system of one-dimensional gas motion
    • Ya. Kanel', On a model system of one-dimensional gas motion (Russian), Differencial'nya Uravnenija 4, 374-380 (1968)
    • (1968) Differencial'nya Uravnenija , vol.4 , pp. 374-380
    • Kanel', Ya.1
  • 3
    • 0032395447 scopus 로고    scopus 로고
    • Behaviors of solutions for the Burgers equation with boundary corresponding to rarefaction waves
    • T.-P. Liu, A. Matsumura, and K. Nishihara, Behaviors of solutions for the Burgers equation with boundary corresponding to rarefaction waves, SIAM J. Math. Anal. 29, 293-308 (1998)
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 293-308
    • Liu, T.-P.1    Matsumura, A.2    Nishihara, K.3
  • 4
    • 0031579044 scopus 로고    scopus 로고
    • Asymptotic behavior for scalar viscous conservation laws with boundary effect
    • T.-P. Liu and K. Nishihara, Asymptotic behavior for scalar viscous conservation laws with boundary effect, J. Differential Equations 133, 296-320 (1997)
    • (1997) J. Differential Equations , vol.133 , pp. 296-320
    • Liu, T.-P.1    Nishihara, K.2
  • 5
    • 0031505790 scopus 로고    scopus 로고
    • Propagation of a stationary shock layer in the presence of a boundary
    • T.-P. Liu and S.-H. Yu, Propagation of a stationary shock layer in the presence of a boundary, Arch. Rat. Mech. Anal. 139, 57-82 (1997)
    • (1997) Arch. Rat. Mech. Anal. , vol.139 , pp. 57-82
    • Liu, T.-P.1    Yu, S.-H.2
  • 6
    • 0009171042 scopus 로고    scopus 로고
    • Convergence to travelling fronts of solutions of the p-system with viscosity in the presence of a boundary
    • A. Matsumura and M. Mei, Convergence to travelling fronts of solutions of the p-system with viscosity in the presence of a boundary, Arch. Rat. Mech. Anal. 146, 1-22 (1999)
    • (1999) Arch. Rat. Mech. Anal. , vol.146 , pp. 1-22
    • Matsumura, A.1    Mei, M.2
  • 7
    • 0001790393 scopus 로고
    • Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
    • A. Matsumura and K. Nishihara, Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas, Japan J. Appl. Math. 3, 1-13 (1986)
    • (1986) Japan J. Appl. Math. , vol.3 , pp. 1-13
    • Matsumura, A.1    Nishihara, K.2
  • 8
    • 34249841641 scopus 로고
    • Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
    • A. Matsumura and K. Nishihara, Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas, Commun. Math. Phys. 144, 325-335 (1992)
    • (1992) Commun. Math. Phys. , vol.144 , pp. 325-335
    • Matsumura, A.1    Nishihara, K.2
  • 9
    • 85034200516 scopus 로고    scopus 로고
    • Asymptotic stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas with boundary
    • in press
    • T. Pan, H. Liu, and K. Nishihara, Asymptotic stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas with boundary, Japan J. Indust. Appl. Math., in press
    • Japan J. Indust. Appl. Math.
    • Pan, T.1    Liu, H.2    Nishihara, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.