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具有传输噪声的随机Navier-Stokes方程的增强耗散性
传输噪声 随机Navier-Stokes方程 增强耗散性
2023/12/13
The phenomenon of dissipation enhancement by transport noise is shown for stochastic 2D Navier–Stokes equations in velocity form. In the 3D case, suppression of blow-up is proved for stochastic Navier...
高维标量粘性守恒律平面粘性激波的周期扰动
高维标量 粘性守恒律 平面粘性激波 周期扰动
2023/12/13
This paper studies a Cauchy problem for a scalar multidimensional (multi-d) viscous convex conservation law, in which the initial data is a planar viscous shock with a multi-d periodic perturbation. W...
We prove the time-asymptotic stability of composite waves consisting of the superposition of a viscous shock and a rarefaction for the one-dimensional compressible barotropic Navier-Stokes equations. ...
We are concerned with the three-dimensional incompressible Navier–Stokes equations driven by an additive stochastic forcing of trace class. First, for every divergence free initial condition in $L^{2}...
We establish global-in-time existence and non-uniqueness of probabilistically strong solutions to the three dimensional Navier--Stokes system driven by space-time white noise. In this setting, solutio...
广义面上地转方程的全局解和重排（曹道民）
广义面上地转方程 全局解 重排
2023/4/10
In this paper, we study the existence of rotating and traveling wave solutions for the generalized surface quasi-geostrophic (gSQG) equation. The solutions are obtained by maximization of the energy o...
2021年3月22日，西藏自治区林芝市加拉村色东普沟发生冰崩，导致雅鲁藏布江下游水位上涨十余米，对沿岸居民及交通线路构成很大威胁（图1）。该地区2018年10月曾连续发生两次大规模冰崩堵江事件，且存在继续发生堵江灾害的风险。
We are concerned with the global existence theory for spherically symmetric solutions of the multidimensional compressible Euler equations with large initial data of positive far-field density so that...
This paper is concerned with the asymptotic stability of a composite wave of two viscous shocks under spatially periodic perturbations for the 1-d full compressible Navier--Stokes equations. It is pro...
The Cauchy problem for the barotropic compressible Navier--Stokes equations on the whole two-dimensional space with vacuum as far field density is considered. When the shear viscosity is a positive co...