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Volumn 127, Issue 1, 1996, Pages 197-224

Existence and asymptotic behavior of measure-valued solutions for degenerate conservation laws

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EID: 0030147154     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0068     Document Type: Article
Times cited : (3)

References (29)
  • 1
    • 0001577972 scopus 로고
    • Hyperbolic systems of conservation laws with a symmetry
    • [C1] G.-Q. CHEN, Hyperbolic systems of conservation laws with a symmetry, Comm. Partial Differential Equations 16 (1991), 1461-1487.
    • (1991) Comm. Partial Differential Equations , vol.16 , pp. 1461-1487
    • Chen, G.-Q.1
  • 2
    • 84990576544 scopus 로고
    • Propagation and cancellation of oscillations for hyperbolic systems of conservation laws
    • [C2] G.-Q. CHEN, Propagation and cancellation of oscillations for hyperbolic systems of conservation laws, Comm. Pure Appl. Math. 44 (1991), 121-140.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 121-140
    • Chen, G.-Q.1
  • 3
    • 34249834507 scopus 로고
    • The method of quasidecoupling for discontinuous solutions to conservation laws
    • [C3] G.-Q. CHEN, The method of quasidecoupling for discontinuous solutions to conservation laws, Arch. Rational Mech. Anal. 121 (1991), 131-185.
    • (1991) Arch. Rational Mech. Anal. , vol.121 , pp. 131-185
    • Chen, G.-Q.1
  • 4
    • 84968504287 scopus 로고
    • Spectral viscosity approximations to multidimensional scalar conservation laws
    • [Ct] G.-Q. CHEN, G. DU, AND E. TADMOR, Spectral viscosity approximations to multidimensional scalar conservation laws, Math. Comp. 6 (1993), 629-643.
    • (1993) Math. Comp. , vol.6 , pp. 629-643
    • Chen, G.-Q.1    Du, G.2    Tadmor, E.3
  • 5
    • 0024481658 scopus 로고
    • A study on application approaches of the theory of compensated compactness
    • [C1] G.-Q. CHEN AND Y.-G. LU, A study on application approaches of the theory of compensated compactness, Chinese Sci Bull. 34 (1989), 15-19.
    • (1989) Chinese Sci Bull. , vol.34 , pp. 15-19
    • Chen, G.-Q.1    Lu, Y.-G.2
  • 6
    • 0000805398 scopus 로고
    • Positively invariant regions for systems of nonlinear diffusion equations
    • [Cs] K. N. CHUEH, C. C. CONLEY, AND J. A. SMOLLER, Positively invariant regions for systems of nonlinear diffusion equations, Indiana Univ. Math. J. 26 (1977), 373-392.
    • (1977) Indiana Univ. Math. J. , vol.26 , pp. 373-392
    • Chueh, K.N.1    Conley, C.C.2    Smoller, J.A.3
  • 7
    • 0001255239 scopus 로고
    • Thermodynamic restrictions on the constitutive equations of electromagnetic theory
    • [Cd] B. D. COLLEMAN AND E. H. DILL, Thermodynamic restrictions on the constitutive equations of electromagnetic theory, Z. Angew. Math. Phys. 22 (1971), 691-702.
    • (1971) Z. Angew. Math. Phys. , vol.22 , pp. 691-702
    • Colleman, B.D.1    Dill, E.H.2
  • 8
    • 84966234654 scopus 로고
    • Convergence of finite difference schemes for conservation laws in several space variables: The corrected antidifusive flux approach
    • [C1] F. COQUEL AND P. LE FLOCH, Convergence of finite difference schemes for conservation laws in several space variables: the corrected antidifusive flux approach, Math. Comp. 57 (1991), 169-210.
    • (1991) Math. Comp. , vol.57 , pp. 169-210
    • Coquel, F.1    Floch, P.L.E.2
  • 9
    • 0001381096 scopus 로고
    • Generalized characteristics in hyperbolic systems of conservation laws
    • [Da] C. M. DAFERMOS, Generalized characteristics in hyperbolic systems of conservation laws, Arch. Rational Mech. Anal. 107 (1989), 127-155.
    • (1989) Arch. Rational Mech. Anal. , vol.107 , pp. 127-155
    • Dafermos, C.M.1
  • 10
    • 0020499710 scopus 로고
    • Convergence of approximate solutions to conservation laws
    • [D1] R. J. DIPERNA, Convergence of approximate solutions to conservation laws, Arch. Rational Mech. Anal. 82 (1983), 27-70.
    • (1983) Arch. Rational Mech. Anal. , vol.82 , pp. 27-70
    • Diperna, R.J.1
  • 11
    • 0021835204 scopus 로고
    • Measure-valued solutions to conservation laws
    • [D2] R. J. DIPERNA, Measure-valued solutions to conservation laws, Arch. Rational Mech. Anal. 88 (1985), 223-270.
    • (1985) Arch. Rational Mech. Anal. , vol.88 , pp. 223-270
    • Diperna, R.J.1
  • 12
    • 85027206872 scopus 로고    scopus 로고
    • Solution to the initial-boundary value problem for the regularized Buckley-Leverett system
    • to appear
    • [F1] H. FRID, Solution to the initial-boundary value problem for the regularized Buckley-Leverett system, Acta Appl. Math., to appear.
    • Acta Appl. Math.
    • Frid, H.1
  • 13
    • 0001237844 scopus 로고
    • Existence and asymptotic behavior of measure-valued solutions for three-phase flows in porous media
    • [F2] H. FRID, Existence and asymptotic behavior of measure-valued solutions for three-phase flows in porous media, J. Math. Anal. Appl. 196 (1995), 614-627.
    • (1995) J. Math. Anal. Appl. , vol.196 , pp. 614-627
    • Frid, H.1
  • 14
    • 21844507997 scopus 로고    scopus 로고
    • Measure-valued solutions to initial-boundary value problems for certain systems of conservation laws: Existence and dynamics
    • [F3] H. FRID, Measure-valued solutions to initial-boundary value problems for certain systems of conservation laws: existence and dynamics, Trans. Amer. Math. Soc. 348 (1996), 51-76.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 51-76
    • Frid, H.1
  • 15
    • 0002027782 scopus 로고
    • Rotational degeneracy of hyperbolic systems of conservation laws
    • [Fr] H. FREISTÜHLER, Rotational degeneracy of hyperbolic systems of conservation laws, Arch. Rational Mech. Anal. 113 (1991), 39-64.
    • (1991) Arch. Rational Mech. Anal. , vol.113 , pp. 39-64
    • Freistühler, H.1
  • 17
    • 84981759861 scopus 로고
    • Solutions in the large for nonlinear hyperbolic systems of equations
    • [G] J. GLIMM, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math. 18 (1965), 95-105.
    • (1965) Comm. Pure Appl. Math. , vol.18 , pp. 95-105
    • Glimm, J.1
  • 18
    • 0003325994 scopus 로고
    • Decay of solutions of systems of nonlinear hyperbolic conservation laws
    • AMS, Providence, RI
    • [G1] J. GLIMM AND P. D. LAX, "Decay of Solutions of Systems of Nonlinear Hyperbolic Conservation Laws," Amer. Math. Soc. Memoir, Vol. 101, AMS, Providence, RI, 1970.
    • (1970) Amer. Math. Soc. Memoir , vol.101
    • Glimm, J.1    Lax, P.D.2
  • 19
    • 85050699618 scopus 로고
    • Solutions in the large for certain nonlinear parabolic systems
    • [H] D. HOFF AND J. SMOLLER, Solutions in the large for certain nonlinear parabolic systems, Ann. Inst. H. Poincaré-Anal. Non Linéaire 2 (1985), 213-235.
    • (1985) Ann. Inst. H. Poincaré-Anal. Non Linéaire , vol.2 , pp. 213-235
    • Hoff, D.1    Smoller, J.2
  • 20
    • 34250253411 scopus 로고
    • A system of nonstrictly hyperbolic conservation laws arising in elasticity
    • [K] B. KEYFITZ AND H. KRANZER, A system of nonstrictly hyperbolic conservation laws arising in elasticity, Arch. Rational Mech. Anal. 72 (1980), 219-241.
    • (1980) Arch. Rational Mech. Anal. , vol.72 , pp. 219-241
    • Keyfitz, B.1    Kranzer, H.2
  • 21
    • 84956238079 scopus 로고
    • First order quasilinear equations in several variables
    • [Kr] S. N. KRUŽKOV, First order quasilinear equations in several variables, Math. USSR-Sb. 10 (1970), 127-243.
    • (1970) Math. USSR-Sb. , vol.10 , pp. 127-243
    • Kružkov, S.N.1
  • 23
    • 0002950929 scopus 로고
    • Shock waves and entropy
    • E. A. Zarantonello, Ed., Academic Press, New York
    • [La] P. D. LAX, Shock waves and entropy, in "Contributions to Nonlinear Functional Analysis" (E. A. Zarantonello, Ed.), pp. 603-634, Academic Press, New York, 1977.
    • (1977) Contributions to Nonlinear Functional Analysis , pp. 603-634
    • Lax, P.D.1
  • 25
    • 0002067384 scopus 로고
    • On a hyperbolic system of conservation laws which is not strictly hyperbolic
    • [Lw] T.-P. LIU AND C.-H. WANG, On a hyperbolic system of conservation laws which is not strictly hyperbolic, J. Differential Equations 57 (1985), 1-14.
    • (1985) J. Differential Equations , vol.57 , pp. 1-14
    • Liu, T.-P.1    Wang, C.-H.2
  • 26
    • 0001354424 scopus 로고
    • Uniqueness and stability of the generalized solution of the Cauchy problem for a quasilinear equation
    • [O] O. A. OLEINIK, Uniqueness and stability of the generalized solution of the Cauchy problem for a quasilinear equation, Amer. Math. Soc. Transl. Ser. 2 33 (1964), 285-290.
    • (1964) Amer. Math. Soc. Transl. Ser. 2 , vol.33 , pp. 285-290
    • Oleinik, O.A.1
  • 27
    • 0001434916 scopus 로고
    • Les ondes planes en électromagnétisme nonlinéaire
    • [S] D. SERRE, Les ondes planes en électromagnétisme nonlinéaire, Physica D 31 (1988), 227-251.
    • (1988) Physica D , vol.31 , pp. 227-251
    • Serre, D.1
  • 28
    • 84968514036 scopus 로고
    • Convergence of a shock-capturing streamline diffusion finite element method for a scalar conservation laws in two space dimensions
    • [Sz] A. SZEPESSY, Convergence of a shock-capturing streamline diffusion finite element method for a scalar conservation laws in two space dimensions, Math. Comp. 53 (1989), 527-545.
    • (1989) Math. Comp. , vol.53 , pp. 527-545
    • Szepessy, A.1
  • 29
    • 0000440966 scopus 로고
    • Compensated compactness and applications to partial differential equations
    • R. J. Knops, Ed., Pitman, New York
    • [T] L. TARTAR, Compensated compactness and applications to partial differential equations, in "Research Notes in Math., Nonlinear Anal. and Mech: Heriot-Watt Symposium" (R. J. Knops, Ed.), Vol. 4, Pitman, New York, 1979.
    • (1979) Research Notes in Math., Nonlinear Anal. and Mech: Heriot-Watt Symposium , vol.4
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.