A remark on the Glimm scheme for inhomogeneous hyperbolic systems of balance laws

被引：3

作者：

Christoforou, Cleopatra ^{[1
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2015年 / 12卷 / 04期

关键词：

balance laws; global existence; inhomogeneity; bounded variation; random choice method; VANISHING VISCOSITY; DISSIPATION; UNIQUENESS;

D O I：

10.1142/S021989161550023X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

General hyperbolic systems of balance laws with inhomogeneous flux and source are studied. Global existence of entropy weak solutions to the Cauchy problem is established for small BV data under appropriate assumptions on the decay of the flux and the source with respect to space and time. There is neither a hypothesis about equilibrium solution nor about the dependence of the source on the state vector as previous results have assumed.

引用

页码：787 / 797

页数：11

共 50 条

[41] TIME-ASYMPTOTIC STABILITY FOR FIRST-ORDER SYMMETRIC HYPERBOLIC SYSTEMS OF BALANCE LAWS IN DISSIPATIVE COMPRESSIBLE FLUID DYNAMICS
Freistuehler, Heinrich
[J]. QUARTERLY OF APPLIED MATHEMATICS, 2022, 80 (03) : 1 - 10
[42] Lp time asymptotic decay for general hyperbolic-parabolic balance laws with applications
Zeng, Yanni
[J]. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2019, 16 (04) : 663 - 700
[43] Solutions with concentration for conservation laws with discontinuous flux and its applications to numerical schemes for hyperbolic systems
Aggarwal, Aekta
Sahoo, Manas Ranjan
Sen, Abhrojyoti
Vaidya, Ganesh
[J]. STUDIES IN APPLIED MATHEMATICS, 2020, 145 (02) : 247 - 290
[44] Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems
Chen, Gui-Qiang
Even, Nadine
Klingenberg, Christian
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (11) : 3095 - 3126
[45] Delta-shock for a class of strictly hyperbolic systems of conservation laws
Li, Shiwei
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2024, 24 (08) : 2865 - 2876
[46] HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS WITH ROTATIONALLY EQUIVARIANT FLUX FUNCTION
FREISTUHLER, H
[J]. MATEMATICA APLICADA E COMPUTACIONAL, 1992, 11 (02): : 167 - 188
[47] High order well balanced schemes for systems of balance laws
Russo, Giovanni
Khe, Alexander
[J]. HYPERBOLIC PROBLEMS: THEORY, NUMERICS AND APPLICATIONS, PART 2, 2009, 67 : 919 - 928
[48] An Optimised Five-Point-Stencil Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws
Hong, Zheng
Ye, Zhengyin
Ye, Kun
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 2021, 35 (03) : 179 - 196
[49] Flooding in urban drainage systems: coupling hyperbolic conservation laws for sewer systems and surface flow
Borsche, R.
Klar, A.
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2014, 76 (11) : 789 - 810
[50] Riemann Problem for a Class of Non-strictly Hyperbolic Systems of Conservation Laws
Li, Shiwei
[J]. ACTA APPLICANDAE MATHEMATICAE, 2022, 177 (01)

← 1 2 3 4 5 →