Asymptotic stability of viscous shock profiles for compressible planar magnetohydrodynamics system

Ding Qisheng; Yin Haiyan

首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Asymptotic stability of viscous shock profiles for compressible planar magnetohydrodynamics system

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Asymptotic stability of viscous shock profiles for compressible planar magnetohydrodynamics system

机译：可压缩平面磁力流体动力学系统粘性冲击型材的渐近稳定性

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摘要

This paper shows time-asymptotic nonlinear stability and existence of the viscous shock profiles to the Cauchy problem of the one-dimensional compressible planar magnetohydrodynamics system, which describes the motions of a conducting fluid in an electro-magnetohydrodynamics system. We can prove that the solutions to the compressible planar magnetohydrodynamics system tend time-asymptotically to the viscous shock profiles provided that the initial disturbance is small and of integral zero.

机译：本文证明了一维可压缩平面磁流体动力学系统柯西问题的时间渐近非线性稳定性和粘性激波剖面的存在性，该问题描述了导电流体在电磁流体动力学系统中的运动。我们可以证明，在初始扰动较小且积分为零的情况下，可压缩平面磁流体动力学系统的解在时间上趋于渐近于粘性激波剖面。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2021年第1期|共20页
作者
Ding Qisheng; Yin Haiyan;
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作者单位

Huaqiao Univ Sch Math Sci Quanzhou 362021 Peoples R China;

Huaqiao Univ Sch Math Sci Quanzhou 362021 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Planar magnetohydrodynamics system; Shock profiles; Asymptotic stability; 76W05; 35B40; 74J40; 35B35;

机译：平面磁力流体动力学系统;休克概况;渐近稳定性;76W05;35B40;74J40;35B35;

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1. ASYMPTOTIC STABILITY OF VISCOUS SHOCK PROFILE FOR NON-CONVEX SYSTEM OF ONE-DIM[ENSIONAL VISCOELASTIC MATERIALS WITH BOUNDARY EFFECT [J] . LIU Hongxia, PAN Tao 系统科学与复杂性：英文版 . 2001,第004期
2. ASYMPTOTIC STABILITY OF A VISCOUS CONTACT WAVE FOR THE ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS FOR A REACTING MIXTURE [J] . Lishuang PENG 数学物理学报（英文版） . 2020,第005期
3. NONLINEAR STABILITY OF VISCOUS SHOCK WAVES FOR ONE-DIMENSIONAL NONISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A CLASS OF LARGE INITIAL PERTURBATION [J] . Shaojun TANG, Lan ZHANG 数学物理学报（英文版） . 2018,第003期
4. STABILITY OF VISCOUS SHOCK WAVES FOR THE ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY [J] . Lin HE, Shao jun TANG, Tao WANG 数学物理学报（英文版） . 2016,第001期
5. Asymptotic stability of viscous shock profiles for the 1D compressible Navier-Stokes-Korteweg system with boundary effect [J] . Chen Zhengzheng, Li Yeping, Sheng Mengdi Annals of the American Thoracic Society . 2019,第3期

机译：具有边界效应的1D压缩Navier-Stokes-Korteweg系统的粘性冲击轮廓的渐近稳定性
6. Asymptotic stability of viscous shock profiles for the 1D compressible Navier-Stokes-Korteweg system with boundary effect [J] . Chen Zhengzheng, Li Yeping, Sheng Mengdi Dynamics of partial differential equations . 2019,第3期

机译：具有边界效应的1D压缩Navier-Stokes-Korteweg系统的粘性冲击轮廓的渐近稳定性
7. GLOBAL ASYMPTOTIC STABILITY FOR FINITE-CROSS-SECTION PLANAR SHOCK PROFILES OF VISCOUS SCALAR CONSERVATION LAWS [J] . S. Kamin, S. Schochet Differential and integral equations . 2004,第7a8期

机译：粘性标量守恒定律的有限截面平面激波轮廓的全局渐近稳定性
8. ON THE STABILITY OF DEGENERATE VISCOUS SHOCK PROFILES [C] . RAMON G. PLAZA International Conference on Hyperbolic Problems . 2014

机译：关于退化粘性冲击型材的稳定性
9. Asymptotic Stabilities of Shock Waves and Rarefaction Waves under Periodic Perturbations for Inviscid and Viscous Convex Conservation Laws [D] . Yuan, Qian. 2019

机译：在缺陷和粘性凸性保护法中定期扰动下冲击波和稀疏波的渐近稳定性
10. Viscous resistive magnetohydrodynamic stability computed by spectral techniques [O] . R. B. Dahlburg, T. A. Zang, D. Montgomery, 1983

机译：通过频谱技术计算的粘性电阻性磁流体动力学稳定性
11. Asymptotic stability of viscous shock profiles for the 1D compressible Navier–Stokes–Korteweg system with boundary effect [O] . Zhengzheng Chen, Yeping Li, Mengdi Sheng 2019

机译：具有边界效应的1D压缩Navier-Stokes-Kortew系统的粘性冲击型粘性震动渐近稳定性
12. Asymptotic Stability of Viscous Shock Waves [R] . Howes, F. A. 1986

机译：粘性激波的渐近稳定性

Asymptotic stability of viscous shock profiles for compressible planar magnetohydrodynamics system

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