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Volumn 7, Issue 4, 2001, Pages 837-853

Blowup in L∞ for a class of genuinely nonlinear hyperbolic systems of conservation laws

Author keywords

Blowup; Genuine nonlinear; Hyperbolic; Systems of conservation laws

Indexed keywords


EID: 0035647121     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (24)

References (13)
  • 1
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    • (1998) Nonlinear Anal. , vol.34 , pp. 637-652
    • Bressan, A.1    Shen, W.2
  • 2
    • 84981759861 scopus 로고
    • Solutions in the large for nonlinear hyperbolic systems of equations
    • J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure. Appl. Math. 18 (1965), 697-715.
    • (1965) Comm. Pure. Appl. Math. , vol.18 , pp. 697-715
    • Glimm, J.1
  • 3
    • 0003325997 scopus 로고
    • Decay of solutions of systems of nonlinear hyperbolic conservation laws
    • No. 101 American Mathematical Society, Providence, R.I.
    • J. Glimm and P.D. Lax, "Decay of solutions of systems of nonlinear hyperbolic conservation laws," Memoirs of the American Mathematical Society, No. 101 American Mathematical Society, Providence, R.I. 1970.
    • (1970) Memoirs of the American Mathematical Society
    • Glimm, J.1    Lax, P.D.2
  • 5
    • 0346858719 scopus 로고
    • Vieweg, Braunschweig
    • J. Hunter, Strongly nonlinear hyperbolic waves, in "Nonlinear hyperbolic equations - theory, computation methods, and applications" (Aachen, 1988), 257-268, Notes Numer. Fluid Mech., 24, Vieweg, Braunschweig, 1989.
    • (1989) Notes Numer. Fluid Mech. , vol.24
  • 6
    • 0034347315 scopus 로고    scopus 로고
    • Blowup for systems of conservation laws
    • H.K. Jenssen, Blowup for systems of conservation laws, SIAM J. Math. Anal. 31 (2000), 894-908.
    • (2000) SIAM J. Math. Anal. , vol.31 , pp. 894-908
    • Jenssen, H.K.1
  • 7
    • 21344477562 scopus 로고
    • A nonlinear instability for 3 × 3 systems of conservation laws
    • J.L. Joly, G. Metivier and J. Rauch, A nonlinear instability for 3 × 3 systems of conservation laws, Comm. Math. Phys. 162 (1994), 47-59.
    • (1994) Comm. Math. Phys. , vol.162 , pp. 47-59
    • Joly, J.L.1    Metivier, G.2    Rauch, J.3
  • 8
    • 84956238079 scopus 로고
    • First order quasilinear equations in several independent variables
    • S.N. Kružkov, First order quasilinear equations in several independent variables. Math. USSR Sbornik 10 No. 2 (1970), 217-243.
    • (1970) Math. USSR Sbornik , vol.10 , Issue.2 , pp. 217-243
    • Kružkov, S.N.1
  • 9
    • 0001380483 scopus 로고
    • Systems of conservation laws with a convex extension
    • K.O. Friedrichs and P.D. Lax, Systems of conservation laws with a convex extension, Proc. Nat. Acad. Sci. U.S.A. 68 (1971), 1686-1688.
    • (1971) Proc. Nat. Acad. Sci. U.S.A. , vol.68 , pp. 1686-1688
    • Friedrichs, K.O.1    Lax, P.D.2
  • 10
    • 0021502758 scopus 로고
    • Resonantly interacting weakly nonlinear hyperbolic waves. I. a single space variable
    • A. Majda and R. Rosales, Resonantly interacting weakly nonlinear hyperbolic waves. I. A single space variable, Stud. Appl. Math. 71 (1984), 149-179.
    • (1984) Stud. Appl. Math. , vol.71 , pp. 149-179
    • Majda, A.1    Rosales, R.2
  • 11
    • 0033240168 scopus 로고    scopus 로고
    • Exact solutions to degenerate conservation laws
    • R. Young, Exact solutions to degenerate conservation laws, SIAM J. Math. Anal. 30 (1999), 537-558.
    • (1999) SIAM J. Math. Anal. , vol.30 , pp. 537-558
    • Young, R.1
  • 13
    • 0034384317 scopus 로고    scopus 로고
    • A uniqueness condition for hyperbolic conservation laws
    • A. Bressan and M. Lewicka, A uniqueness condition for hyperbolic conservation laws, Discrete Contin. Dynam. Systems 6 (2000), 673-682.
    • (2000) Discrete Contin. Dynam. Systems , vol.6 , pp. 673-682
    • Bressan, A.1    Lewicka, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.