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Volumn 61, Issue 1, 2000, Pages 273-292

Hyperbolic systems with supercharacteristic relaxations and roll waves

Author keywords

Burgers equation; Discrete velocity kinetic models; Hyperbolic systems of conservation laws; Relaxation approximations; Shallow water equations; Supercharacteristic condition

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; KINETIC THEORY; PERTURBATION TECHNIQUES; PROBLEM SOLVING; RELAXATION PROCESSES; VISCOSITY;

EID: 0034450588     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139999350780     Document Type: Article
Times cited : (27)

References (41)
  • 11
    • 0000969140 scopus 로고
    • Asymptotic equations for nonlinear hyperbolic waves
    • J.B. Keller, G. Papanicolaou, and D.W. McLaughlin, eds., Plenum Press, New York
    • (1995) Surveys in Appl. Math. , vol.2 , pp. 167-276
    • Hunter, J.K.1
  • 12
    • 0000067710 scopus 로고
    • The flow of water in an inclined channel of rectangular section
    • (1925) Phil. Mag. , vol.49 , pp. 793-807
    • Jeffreys, H.1
  • 13
    • 4243407977 scopus 로고
    • Numerical transfer in diffusive regimes
    • Ph.D. thesis, University of Arizona, Tucson, AZ
    • (1991)
    • Jin, S.1
  • 17
    • 0000997075 scopus 로고    scopus 로고
    • Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and relaxation schemes
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 2385-2404
    • Jin, S.1    Xin, Z.2
  • 25
    • 0005125122 scopus 로고
    • Asymptotic oscillations of solutions of scalar conservation laws with convexity under the action of a linear excitation
    • (1990) Quart. Appl. Math. , vol.48 , pp. 755-765
    • Lyberopoulos, A.N.1
  • 32
    • 0000674820 scopus 로고    scopus 로고
    • A renormalization method for the Chapman-Enskog expansion
    • (1997) Phys. D , vol.109 , pp. 257-273
    • Slemrod, M.1
  • 35
    • 0025093650 scopus 로고
    • On modeling phase transitions by means of rate-type constitutive equations. Shock wave structure
    • (1990) Int. Engrg. Sci. , vol.28 , pp. 829-841
    • Suliciu, I.1
  • 39
    • 84990557365 scopus 로고
    • The fluid dynamical limit of the Broadwell model of the nonlinear Boltzmann equation in the presence of shock
    • (1974) Comm. Pure Appl. Math. , vol.44 , pp. 679-714
    • Xin, Z.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.