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Volumn 28, Issue 2, 1997, Pages 304-321

The asymptotic behavior of the hyperbolic conversation laws with relaxation on the quarter-plane

Author keywords

Boundary condition; Equilibrium state; Subcharacteristic condition

Indexed keywords


EID: 0031481112     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141095276506     Document Type: Article
Times cited : (18)

References (16)
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  • 2
    • 84980139661 scopus 로고
    • The fluid dynamics limit of the nonlinear model Boltzmann equation
    • R. E. CAFLISH AND G. C. PAPANICOLAOU, The fluid dynamics limit of the nonlinear model Boltzmann equation, Comm. Pure Appl. Math., 32 (1979), pp. 589-616.
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  • 3
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    • Zero relaxation and dissipation limits for hyperbolic conservation laws
    • G.-Q. CHEN AND T.-P. LIU, Zero relaxation and dissipation limits for hyperbolic conservation laws, Comm. Pure Appl. Math., 46 (1993), pp. 755-781.
    • (1993) Comm. Pure Appl. Math. , vol.46 , pp. 755-781
    • Chen, G.-Q.1    Liu, T.-P.2
  • 4
    • 84990689276 scopus 로고
    • Hyperbolic conservation laws with stiff relaxation terms and entropy
    • G.-Q. CHEN, C. D. LEVEMORE, AND T.-P. LUI, Hyperbolic conservation laws with stiff relaxation terms and entropy, Comm. Pure Appl. Math., 47 (1994), pp. 787-830.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 787-830
    • Chen, G.-Q.1    Levemore, C.D.2    Lui, T.-P.3
  • 5
    • 34250115323 scopus 로고
    • Asymptotic stability of traveling wave solution of systems for one-dimensional gas motion
    • S. KAWASHIMA AND A. MATSUMURA, Asymptotic stability of traveling wave solution of systems for one-dimensional gas motion, Comm. Math. Phys., 101 (1985), pp. 97-127.
    • (1985) Comm. Math. Phys. , vol.101 , pp. 97-127
    • Kawashima, S.1    Matsumura, A.2
  • 6
    • 0011682662 scopus 로고
    • Boundary value problems for the first order quasilinear hyperbolic systems and their applications
    • T.-T. LI AND W.-C. YU, Boundary value problems for the first order quasilinear hyperbolic systems and their applications, J. Differential Equations, 41 (1981), pp. 1-26.
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    • Li, T.-T.1    Yu, W.-C.2
  • 8
    • 85045502760 scopus 로고    scopus 로고
    • Boundary layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation
    • to appear
    • J. G. LIU AND Z. XIN, Boundary layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation, Arch. Rational Moch. Anal., to appear.
    • Arch. Rational Moch. Anal.
    • Liu, J.G.1    Xin, Z.2
  • 9
    • 21544449601 scopus 로고
    • Hyperbolic conservation laws with relaxation
    • T.-P. LIU, Hyperbolic conservation laws with relaxation. Comm. Math. Phys., 108 (1987), pp. 153-175.
    • (1987) Comm. Math. Phys. , vol.108 , pp. 153-175
    • Liu, T.-P.1
  • 12
    • 0030240947 scopus 로고    scopus 로고
    • The initial boundary problem for hyperbolic conservation laws with relaxation
    • S. NISHIBATA, The initial boundary problem for hyperbolic conservation laws with relaxation, J. Differential Equations. 130 (1996), pp. 100-126.
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    • Nishibata, S.1
  • 13
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    • The fluid-dynamics limit of the Browdwell model of the nonlinear Boltzmann equation in the presence of shock
    • Z. XIN, The fluid-dynamics limit of the Browdwell model of the nonlinear Boltzmann equation in the presence of shock, Comm. Pure Appl. Math., 44 (1991), pp. 679-713.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 679-713
    • Xin, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.