Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars II

Manwai Yuen

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Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars II

机译：气态恒星二维等温Euler-Poisson方程的解析爆破解II

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摘要

In this article, we construct analytical blowup solutions with non-radial symmetry for the 2-dimensional Euler-Poisson equations. Based on the previous solutions with radial symmetry for the 2-dimensional isothermal Euler-Poisson equations, some special blowup solutions with non-radial symmetry are constructed by the separation method.

机译：在本文中，我们为二维Euler-Poisson方程构造了非径向对称的解析爆破解决方案。基于二维等温Euler-Poisson方程先前具有径向对称性的解，通过分离方法构造了一些非径向对称的特殊爆破解。

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来源
《Journal of Mathematical Physics》 |2011年第7期|共7页
作者
Manwai Yuen;
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正文语种 eng
中图分类物理学的数学方法;
关键词
blowup; Euler-Poisson; gaseous stars II;

机译：爆炸;欧拉-泊松;气态星II;

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专利

1. Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars II [J] . Manwai Yuen Journal of Mathematical Physics . 2011,第7期

机译：气态恒星二维等温Euler-Poisson方程的解析爆破解II
2. Blowup for the C~1 solutions of the Euler-Poisson equations of gaseous stars in R~N [J] . Yuen M. Journal of Mathematical Analysis and Applications . 2011,第2期

机译：R〜N中气态恒星Euler-Poisson方程C〜1解的爆破
3. Analytically periodic solutions to the three-dimensional Euler-Poisson equations of gaseous stars with a negative cosmological constant [J] . Yuen MW Classical and Quantum Gravity: An Interantional Journal of Gravity Geometry of Field Theories Supergravity Cosmology . 2009,第23期

机译：具有负宇宙学常数的气态恒星三维Euler-Poisson方程的解析周期解
4. On the multiple solutions of Euler-Poisson equations for gaseous stars [C] . Xiang Jianlin, Liang Zhang 2011 International Conference on Multimedia Technology . 2011

机译：关于气态恒星Euler-Poisson方程的多重解
5. On Existence and Properties of Rotating Star Solutions to the Euler-Poisson Equations. [D] . Wu, Yilun. 2014

机译：关于Euler-Poisson方程的旋转星解的存在性和性质。
6. Blowup Phenomena for the Compressible Euler and Euler-Poisson Equations with Initial Functional Conditions [O] . Sen Wong, Manwai Yuen -1

机译：具有初始函数条件的可压缩Euler和Euler-Poisson方程的爆破现象
7. Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars II [O] . Yuen, M 2011

机译：气态恒星二维等温欧拉-泊松方程的解析爆破解II
8. PART I Recent Work on Families of Periodic Solutions of Ordinary Differential Equations. PART II Singular Solutions of Systems of Real Analytic Equations. PART III The Stromgren-Wintner Principle on the Termination of Families of Periodic Solutions. [R] . Daniel C. Lewis 1959

机译：第一部分关于常微分方程周期解族的近期研究。第二部分实分析方程组的奇异解。第三部分stromgren-Wintner关于终止家庭周期解的原则。

Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars II

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