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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Uniqueness of BV Solution for Compressible Euler Equations
可压缩 欧拉方程 BV解 唯一性
2023/4/17
Compressible Euler equations are a typical system of hyperbolic conservation laws, whose solution forms shock waves in general. It is well known that global BV solutions of system of hyperbolic conser...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability conditions for a free boundary problem of 3-D compressible Euler equations coupled with a nonlinear Poisson equation
三维 可压缩欧拉方程 耦合 非线性泊松方程 自由边界问题 稳定性条件
2023/4/18
In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Finding solutions to the multi-dimensional compressible Euler equations
多维 可压缩 欧拉方程 解
2023/4/24
This talk will survey some results for the two- or three-space dimensional compressible Euler equations. We shall present non-uniqueness results of weak entropy solutions using convex integration and ...
Shock-free Solutions of the Compressible Euler Equations
Conservation laws compressible Euler equations singularity formation large data exact solutions
2012/4/18
We study the structure of shock-free solutions of the compressible Euler equations with large data. We describe conditions under which the Rarefactive/Compressive character of solutions changes, and c...
Perturbational Blowup Solutions to the 1-dimensional Compressible Euler Equations
Perturbational Blowup 1-dimensional Compressible Euler Equations
2011/1/20
We study the construction of analytical non-radially solutions for the 1-dimensional com-pressible adiabatic Euler equations in this article. We could design the perturbational method
to construct a ...
Long time behavior of smooth solutions to the compressible Euler equations with damping in several space variables
compressible Euler equations Cauchy problem smooth solution global existence asymptotic behavior
2018/4/20
In this paper, we investigate the global existence and long time behavior of smooth solutions to the compressible Euler equations with damping in several space variables. Under suitable assumptions, w...
专著信息
书名
Convergence of nonlinear Schr?dinger-Poisson systems to the compressible Euler equations
语种
英文
撰写或编译
作者
第一作者单位
出版社
Commun. in Partial Differential Equations, 28(2003), 1005-1022
出版地
出版日期
2003年...