A case study of global stability of strong rarefaction waves for 2x2 hyperbolic conservation laws with artificial viscosity

Duan R; Ma X; Zhao HJ

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A case study of global stability of strong rarefaction waves for 2x2 hyperbolic conservation laws with artificial viscosity

机译：具有人工黏性的2x2双曲守恒律的强稀疏波整体稳定性的案例研究

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This paper is concerned with the global stability of strong rarefaction waves for a class of 2 x 2 hyperbolic conservation laws with artificial viscosity, i.e., the p-system with artificial viscosity

机译：本文涉及具有人工黏性（即具有人工黏性的p系统）的一类2 x 2双曲守恒律的强稀疏波的整体稳定性

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来源
《Journal of Differential Equations》 |2006年第1期|共26页
作者
Duan R; Ma X; Zhao HJ;
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正文语种 eng
中图分类数学;
关键词
strong rarefaction waves; p-system with artificial viscosity; global stability; continuity argument; positively invariant regions; NAVIER-STOKES EQUATIONS; ASYMPTOTIC STABILITY; P-SYSTEM; NONLINEAR STABILITY; SPACE DIMENSIONS; RELAXATION APPROXIMATION; BEHAVIOR; LIMIT; DECAY; MODEL;

机译：强稀疏波;具有人工粘度的p系统;整体稳定性;连续性参数;正不变区域;Navier-Stokes方程;渐近稳定性;p系统;非线性稳定性;空间尺寸;松弛近似;行为;极限;衰变;模型;

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专利

1. A case study of global stability of strong rarefaction waves for 2x2 hyperbolic conservation laws with artificial viscosity [J] . Duan R, Ma X, Zhao HJ Journal of Differential Equations . 2006,第1期

机译：具有人工黏性的2x2双曲守恒律的强稀疏波整体稳定性的案例研究
2. DECAY RATES OF STRONG PLANAR RAREFACTION WAVES TO SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN SEVERAL SPACE DIMENSIONS [J] . Chen J, Zhu CJ Transactions of the American Mathematical Society . 2010,第4期

机译：在几个空间维上，强平面反射率的衰减率均达到具有简并粘度的标量守恒律
3. GLOBAL ASYMPTOTICS TOWARD THE RAREFACTION WAVES FOR SOLUTIONS TO THE CAUCHY PROBLEM OF THE SCALAR CONSERVATION LAW WITH NONLINEAR VISCOSITY [J] . Matsumura Akitaka, Yoshida Natsumi Osaka Journal of Mathematics . 2020,第1期

机译：全球渐近朝向稀疏波浪解决标量粘度的标量粘度问题
4. Boundary Feedback Control and Lyapunov Stability Analysis for Physical Networks of 2X2 Hyperbolic Balance Laws. [C] . Georges Bastin, Jean-Michel Coron, Brigitte dAndrea-Novel IEEE Conference on Decision and Control . 2008

机译：边界反馈控制和Lyapunov 2x2双曲余额法的物理网络稳定性分析。
5. Nonlinear stability of rarefaction waves for systems of viscous hyperbolic conservation laws [D] . Xin, Zhouping. 1988

机译：粘性双曲保守法系统稀疏波的非线性稳定性
6. A Fourth Order Entropy Stable Scheme for Hyperbolic Conservation Laws [O] . Xiaohan Cheng 2019

机译：双曲保护法的第四阶熵稳定方案
7. A case study of global stability of strong rarefaction waves for 2×2 hyperbolic conservation laws with artificial viscosity [O] . Duan Ran, Ma Xuan, Zhao Huijiang 2006

机译：具有人工黏性的2×2双曲守恒律的强稀疏波整体稳定性的案例研究
8. Riemann Problem for 2x2 Systems of Hyperbolic Conservation Laws with Case I Quadratic Nonlinearities. [R] . Shearer, M. 1989

机译：具有Case I二次非线性的2x2双曲型守恒律系统的Riemann问题。

A case study of global stability of strong rarefaction waves for 2x2 hyperbolic conservation laws with artificial viscosity

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