Global symmetric solutions for a multi-dimensional compressible viscous gas with radiation in exterior domains

Wan Ling; Wu Lin-Xia

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 >Global symmetric solutions for a multi-dimensional compressible viscous gas with radiation in exterior domains

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Global symmetric solutions for a multi-dimensional compressible viscous gas with radiation in exterior domains

机译：具有外部域辐射的多维可压缩粘性气体的全局对称解

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摘要

This paper is devoted to the study of the initial-boundary value problem for a multi-dimensional compressible Navier-Stokes-Poisson coupled system that describes the motion of a viscous gas with radiation, in the domain exterior to a ball of Rd. By means of nonlinear energy method, we show the global-in-time existence and asymptotic stability of the spherically and cylindrically symmetric solutions for large initial data, provided that the adiabatic exponent gamma is sufficiently close to 1.

机译：本文致力于研究多维压缩Navier-Stokes-Poisson耦合系统的初始边界值问题，该耦合系统描述了辐射的粘性气体的运动，在域外部到RD的球中。通过非线性能量法，我们显示了用于大型初始数据的球形和圆柱对称解的全球性存在性和渐近稳定性，但绝热指数伽玛足够接近1。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2019年第4期|共22页
作者
Wan Ling; Wu Lin-Xia;
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作者单位

China Univ Geosci Sch Math &

Phys Wuhan 430074 Peoples R China;

Wuhan Univ Sch Math &

Stat Wuhan 430072 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
Viscous gas with radiation; Spherical and cylindrical symmetry; Asymptotic stability; Large initial data; Unbounded domains;

机译：透射气体辐射;球形和圆柱对称;渐近稳定性;大型初始数据;无限域;

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专利

1. Global symmetric solutions for a multi-dimensional compressible viscous gas with radiation in exterior domains [J] . Wan Ling, Wu Lin-Xia ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2019,第4期

机译：具有外部域辐射的多维可压缩粘性气体的全局对称解
2. Global weak solutions to the compressible navier-stokes equations in the exterior domain with spherically symmetric data [J] . Jiang L., Wang C. Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2012,第1期

机译：具有球对称数据的外域可压缩Navier-stokes方程的整体弱解
3. Global Weak Solutions to the Compressible Navier-Stokes Equations in the Exterior Domain with Spherically Symmetric Data [J] . Lingyu Jiang, Chao Wang Acta Applicandae Mathematicae . 2012,第1期

机译：具有球对称数据的外域可压缩Navier-Stokes方程的整体弱解
4. On the existence of global solutions to equations for mixtures of compressible viscous fluids [C] . N A Kucher, A A Zhalnina All-Russian Conference with International Participation on Modern Problems of Continuum Mechanics and Explosion Physics . 2017

机译：关于可压缩粘液混合物混合物的全球溶液的存在
5. Generic structure of free resolutions, and homological properties of symmetric and exterior powers of modules [D] . Tchernev, Alexandre Borissov 1998

机译：自由分辨率的通用结构以及模块的对称和外部幂的同源性
6. Lizard Brain: Tackling Locally Low-Dimensional Yet Globally Complex Organization of Multi-Dimensional Datasets [O] . Jonathan Bac, Andrei Zinovyev 2019

机译：蜥蜴脑：处理多维数据集的本地低维但全球复杂的组织
7. On a local energy decay of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in R^3 [O] . Kobayashi Takayuki 1997

机译：关于R ^ 3中外部域中可压缩粘性和导热气体运动方程解的局部能量衰减
8. Existence of Global Solution and 'Blow Up' Phenomenon for the System of Multi-Dimensional Symmetric Regularized Wave Equations [R] . Guo Boling 1988

机译：多维对称正则波方程组全局解的存在性与“爆破”现象

Global symmetric solutions for a multi-dimensional compressible viscous gas with radiation in exterior domains

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