搜索结果: 1-15 共查到“数学 the Euler Equations”相关记录22条 . 查询时间(0.155 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：No blow-up by nonlinear It? noise for the Euler equations
非线性 爆炸 欧拉方程 噪声
2023/5/17
We consider the incompressible Euler equations in two or three dimensions and we show that the addition of a suitable multiplicative It? noise with superlinear growth prevents a smooth solution from b...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data
平滑数据 二维布西内斯 三维欧拉方程 稳定近似 自相似爆炸
2023/4/13
Whether the 3D incompressible Euler equations can develop a finite-time singularity from smooth initial data is an outstanding open problem. In this talk, we will first review recent progress in singu...
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 ...
Non-Oscillatory Central Schemes for the Incompressible 2D Euler Equations
Hyperbolic conservation laws second-order accuracy central difference schemes non-oscillatory schemes Incompressible Euler equations
2015/10/8
We adopt a non-oscillatory central scheme, first presented in the context of Hyperbolic conservation laws in [nessyahu-tadmor] followed by [jiang-tadmor], to the framework of the incompressible Eule...
A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics
Godunov-type scheme generalized Riemann problem Riemann problem
2014/9/26
The paper proposes and implements a third-order accurate direct Eulerian gen-eralized Riemann problem (GRP) scheme for one- and two-dimensional (1D & 2D)
Euler equations in gas dynamics. It is an ext...
Euler equations of incompressible fluids use and enrich many branches of mathematics, from integrable systems to geometric analysis. They present important open physical and mathematical problems. Exa...
Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations
Unique Ergodicity Fractionally Dissipated Stochastically Forced 2D Euler Equations
2014/4/3
We establish the existence and uniqueness of an ergodic invariant measure for 2D fractionally dissipated stochastic Euler equations on the periodic box, for any power of the dissipation term.
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...
Local structure of the set of steady-state solutions to the 2D incompressible Euler equations
Local structure of the set steady-state solutions 2D incompressible Euler equations
2011/1/21
It is well known that the incompressible Euler equations can be formulated in a very geometric language. The geometric structures provide very valuable insights into the properties of the solutions.
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 ...
The tyger phenomenon for the Galerkin-truncated Burgers and Euler equations
The tyger phenomenon Galerkin-truncated Burgers Euler equations
2010/11/10
It is shown that the solutions of inviscid hydrodynamical equations with suppression of all spatial Fourier modes having wavenumbers in excess of a threshold $\kg$ exhibit unexpected features. The stu...
Fluid Dynamic Limit to the Riemann Solutions of Euler Equations: I. Superposition of rarefaction waves and contact discontinuity
Fluid Dynamic the Riemann Solutions of Euler Equations
2010/11/15
Fluid dynamic limit to compressible Euler equations from compressible Navier-Stokes equations and Boltzmann equation has been an active topic with limited success so far. In this paper, we consider t...
A Missed Persistence Property for the Euler Equations, and its Effect on Inviscid Limits
Persistence Property the Euler Equations
2010/11/11
We consider the problem of the strong convergence, as the viscosity goes to zero, of the solutions to the three-dimensional evolutionary Navier-Stokes equations under a Navier slip-type boundary condi...