Some Hyperbolic Conservation Laws on Rn

被引:0
|
作者
Bedida, Nabila [1 ]
Hermas, Nadji [2 ]
机构
[1] Univ Freres Mentouri, Dept Math, Fac Sci Exactes, Constantine, Algeria
[2] Univ Ziane Achour, Dept Math & Informat, Djelfa, Algeria
关键词
Maximum solutions; Quasi-linear hyperbolic systems; Hyperbolic laws of conservation; 35L40; 35L45; 35L50; 35L60; 35L65; 58J45; SYSTEMS;
D O I
10.1007/s00009-020-01638-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove the existence and the uniqueness of maximum classical solutions in the temporal variable for some quasi-linear hyperbolic systems.
引用
收藏
页数:13
相关论文
共 50 条
  • [1] SOLUTIONS IN LARGE FOR SOME NONLINEAR HYPERBOLIC CONSERVATION LAWS
    NISHIDA, T
    SMOLLER, JA
    [J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1973, 26 (02) : 183 - 200
  • [2] Hyperbolic Conservation Laws
    Markfelder, Simon
    [J]. CONVEX INTEGRATION APPLIED TO THE MULTI-DIMENSIONAL COMPRESSIBLE EULER EQUATIONS, 2021, 2294 : 13 - 25
  • [3] Limiting behavior of some strictly hyperbolic systems of conservation laws
    Sahoo, Manas R.
    Sen, Abhrojyoti
    [J]. ASYMPTOTIC ANALYSIS, 2019, 113 (04) : 211 - 238
  • [4] On Hyperbolic Systems of Conservation Laws
    S. I. Pokhozhaev
    [J]. Differential Equations, 2003, 39 : 701 - 711
  • [5] On hyperbolic systems of conservation laws
    Pokhozhaev, SI
    [J]. DIFFERENTIAL EQUATIONS, 2003, 39 (05) : 701 - 711
  • [6] Hyperbolic systems of conservation laws
    Bressan, A
    [J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2000, 3B (03): : 635 - 656
  • [7] Conservation laws and their hyperbolic regularizations
    Palin V.V.
    Radkevich E.V.
    [J]. Journal of Mathematical Sciences, 2010, 164 (6) : 922 - 944
  • [8] Entropy for hyperbolic conservation laws
    Dafermos, CM
    [J]. ENTROPY-BK, 2003, : 107 - 120
  • [9] Entropy for hyperbolic conservation laws
    Dafermos, CM
    [J]. ENTROPY-BOOK, 2003, : 107 - 120
  • [10] Hyperbolic regularizations of conservation laws
    V. V. Palin
    E. V. Radkevich
    [J]. Russian Journal of Mathematical Physics, 2008, 15 : 343 - 363