Some Hyperbolic Conservation Laws on Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\mathbb {R}} ^{n}$$\end{document}

被引：0

作者：

Nabila Bedida

Nadji Hermas

机构：

[1] Université Frères Mentouri,Département de Mathématiques, Faculté des sciences exactes

[2] Université Ziane Achour,Département de Mathématiques et d’Informatique

来源：

Mediterranean Journal of Mathematics | 2020年 / 17卷 / 6期

关键词：

Maximum solutions; Quasi-linear hyperbolic systems; Hyperbolic laws of conservation; 35L40; 35L45; 35L50; 35L60; 35L65; 58J45;

D O I：

10.1007/s00009-020-01638-9

中图分类号：

学科分类号：

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

共 12 条

[1]

Anikonov DS(2013)Differential properties of a generalized solution to a hyperbolic system of first-order differential equations J. Appl. Ind. Math. 7 313-325

[2]

Kazantsev SG(2005)Vanishing viscosity solutions of nonlinear hyperbolic systems Ann. Math. 161 223-342

[3]

Konovalova DS(1948)A mathematical model illustrating the theory of turbulence Adv. Appl. Mech. 1 171-199

[4]

Bianchini S(2012)N-Waves in Hyperbolic Balance Laws J. Hyperbolic Differ. Equ. 9 339-354

[5]

Bressan A(2014)Flot d’un système hyperbolique, African Diaspora J. Math. 17 1-19

[6]

Burgers J(2013)Fractional-hyperbolic systems Fract. Calc. Appl. Anal. 16 860-873

[7]

Dafermos CM(1954)Weak solutions of nonlinear hyperbolic equations and their numerical computation CPAM 7 159-193

[8]

Hermas N(1957)Hyperbolic systems of conservation laws Commun. Pure Appl. Math. 10 537-566

[9]

Kochubei AN(1964)Development of singularities of solutions of nonlinear hyperbolic partial differential equations J. Math. Phys. 5 611-613

[10]

Lax PD(undefined)undefined undefined undefined undefined-undefined

← 1 2 →