Global Weak Solutions to the Full Compressible Navier-Stokes Equations with Spherically Symmetric Data in a 2-D Ball

Li Donghong; Wang Chao

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Global Weak Solutions to the Full Compressible Navier-Stokes Equations with Spherically Symmetric Data in a 2-D Ball

机译：二维球中具有球对称数据的完全可压缩Navier-Stokes方程的整体弱解

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摘要

In this paper, we prove the global existence of weak solutions to the viscous and heat-conductive compressible Navier-Stokes systems in a two dimension ball with spherically symmetric initial data.

机译：在本文中，我们证明了具有球形对称初始数据的二维球中粘性和导热可压缩Navier-Stokes系统的弱解的整体存在性。

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《Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications》 |2015年第1期|共21页
作者
Li Donghong; Wang Chao;
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正文语种 eng
中图分类应用数学;
关键词
Viscous and heat conductive compressible Navier-Stokes; Global weak solutions; Spherically symmetric;

机译：粘性和导热性可压缩Navier-Stokes;整体弱解;球对称;

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专利

1. Global Weak Solutions to the Full Compressible Navier-Stokes Equations with Spherically Symmetric Data in a 2-D Ball [J] . Li Donghong, Wang Chao Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2015,第1期

机译：二维球中具有球对称数据的完全可压缩Navier-Stokes方程的整体弱解
2. 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
3. Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Discontinuous Initial Data [J] . RuxuLian, JianweiYang, JianLiu Abstract and applied analysis . 2014,第4期

机译：具有密度相关粘度和不连续初始数据的球对称可压缩Navier-Stokes方程的整体解
4. POROUS MEDIA EQUATIONS, FAST DIFFUSIONS EQUATIONS AND THE EXISTENCE OF GLOBAL WEAK SOLUTION FOR THE QUASI-SOLUTIONS OF COMPRESSIBLE NAVIER-STOKES EQUATIONS [C] . BORIS HASPOT International Conference on Hyperbolic Problems . 2014

机译：多孔介质方程，快速扩散方程以及压缩Navier-Stokes方程准溶液的全局弱解决方案
5. Global existence of solutions with large, discontinuous initial data for the Navier-Stokes equations for compressible fluid flows. [D] . Perepelitsa, Mikhail. 2004

机译：对于可压缩流体流的Navier-Stokes方程，具有大量不连续初始数据的解决方案的全球存在。
6. Blowup Phenomenon of Solutions for the IBVP of the Compressible Euler Equations in Spherical Symmetry [O] . Ka Luen Cheung, Sen Wong 2016

机译：球形对称可压缩Euler方程IBVP解的爆破现象。
7. Global spherically symmetric classical solution to compressible Navier-Stokes equations with large initial data and vacuum [O] . Shijin Ding, Huanyao Wen, Lei Yao, 2016

机译：具有大初始数据和真空的可压缩Navier-stokes方程的全局球对称经典解

Global Weak Solutions to the Full Compressible Navier-Stokes Equations with Spherically Symmetric Data in a 2-D Ball

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