Hyperbolic balance laws with a dissipative non local source

被引：0
作者：
Colombo, Rinaldo M. [1 ]
Guerra, Graziano [2 ]
机构：
[1] Dipartimento Matemat, I-25123 Brescia, Italy
[2] Dipartimento Matemat & Applicaz, I-20126 Milan, Italy
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2008年 / 7卷 / 05期
关键词：
balance laws; hyperbolic conservation laws;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers systems of balance law with a dissipative non local source. A global in time well posedness result is obtained. Estimates on the dependence of solutions from the flow and from the source term are also provided. The technique relies on a recent result on quasidifferential equations in metric spaces.
引用
收藏
页码：1077 / 1090
页数：14
相关论文
共 50 条
  • [1] Periodic BV solutions of hyperbolic balance laws with dissipative source
    Dafermos, Constantine M.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 428 (01) : 405 - 413
  • [2] Hyperbolic systems of balance laws with stiff source
    Dafermos, Constantine M.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 375 : 250 - 276
  • [3] Hyperbolic Conservation Laws, Integral Balance Laws and Regularity of Fluxes
    Ben-Artzi, Matania
    Li, Jiequan
    COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2024, 6 (04) : 2048 - 2063
  • [4] N-WAVES IN HYPERBOLIC BALANCE LAWS
    Dafermos, Constantine M.
    JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2012, 9 (02) : 339 - 354
  • [5] Regularity of Fluxes in Nonlinear Hyperbolic Balance Laws
    Matania Ben-Artzi
    Jiequan Li
    Communications on Applied Mathematics and Computation, 2023, 5 : 1289 - 1298
  • [6] Regularity of Fluxes in Nonlinear Hyperbolic Balance Laws
    Ben-Artzi, Matania
    Li, Jiequan
    COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2023, 5 (03) : 1289 - 1298
  • [7] Model Adaptation for Hyperbolic Balance Laws
    Giesselmann, Jan
    Joshi, Hrishikesh
    Mueller, Siegfried
    Sikstel, Aleksey
    HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL II, HYP2022, 2024, 35 : 73 - 83
  • [8] Non local balance laws in traffic models and crystal growth
    Colombo, Rinaldo M.
    Corli, Andrea
    Rosini, Massimiliano D.
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2007, 87 (06): : 449 - 461
  • [9] RELATIVE ENTROPY IN HYPERBOLIC RELAXATION FOR BALANCE LAWS
    Miroshnikov, Alexey
    Trivisa, Konstantina
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2014, 12 (06) : 1017 - 1043
  • [10] LOCAL PROPORTIONAL-INTEGRAL BOUNDARY FEEDBACK STABILIZATION FOR QUASILINEAR HYPERBOLIC SYSTEMS OF BALANCE LAWS
    Zhang, Liguo
    Prieur, Christophe
    Qiao, Junfei
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 58 (04) : 2143 - 2170
12345