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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear stability of travelling wave solution of the Navier-Stokes-Poisson system for ions with $\gamma$-law pressure
纳维-斯托克斯-泊松系统 行波解 $γ$定律压力离子 非线性稳定性
2023/4/17
We consider the existence, uniqueness and nonlinear stability of the travelling wave solution of the Navier-Stokes-Poisson system with density-dependent viscosity for ions. Firstly, we derive a system...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear Stability of Shear Flows and Rotating Flows in Fluid Dynamics
流体动力学 剪切流 旋转流 非线性稳定性
2023/4/25
Hydrodynamic stability at high Reynolds number is a central topic in fluid mechanics. It is closely related to turbulence. Whereas the laminar velocity profile is linearly stable for all Reynolds numb...
Nodal Points and the Nonlinear Stability of High-Order Methods for Unsteady Flow Problems on Tetrahedral Meshes
Nodal Points Nonlinear Stability High-Order Methods Unsteady Flow Problems Tetrahedral Meshes
2015/7/3
High-order methods have the potential to efficiently generate accurate solutions to fluid dynamics problems of practical interest. However, high-order methods are less robust than lower-or...
Nonlinear Stability for the Periodic and Non-Periodic Zakharov System
Nonlinear Stability the Periodic Non-Periodic Zakharov System
2010/11/22
We prove the existence of a smooth curve of periodic traveling wave solutions for the Zakharov system. We also show that this type of solutions are nonlinear stable by the periodic flow generated for...
Effect of Perturbations in Coriolis and Centrifugal Forces on the Nonlinear Stability of Equilibrium Point in Robe's Restricted Circular Three-Body Problem
Perturbations Centrifugal Forces Coriolis three-body problem
2009/9/4
The effect of perturbations in Coriolis and cetrifugal forces on the nonlinear stability of the equilibrium point of the Robe's (1977) restricted circular three-body problem has been studied when the ...
Hyperbolic geometric flow (I): short-time existence and nonlinear stability
hyperbolic geometric °ow quasilinear hyperbolic equation strict hyperbolicity symmetric hyperbolic system nonlinear stability
2018/4/20
In this paper we establish the short-time existence and uniqueness theorem for hyperbolic geometric °ow, and prove the nonlinear stability of hyperbolic geometric °ow deˉned on the Euclidean space wit...