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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...
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...
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...