搜索结果: 1-15 共查到“偏微分方程 stability”相关记录25条 . 查询时间(0.14 秒)
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...
We study the qualitative properties of the generalized transition fronts for the reactiondiffusion equations with the spatially inhomogeneous nonlinearity of the ignition type. We show that transition...
Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials
Non-square lattices, Nonlinear waves Photonic lattices
2014/12/8
The focus of this dissertation is the existence, stability, and resulting dynamical evolution of localized stationary solutions to Nonlinear Schr¨odinger (NLS) equations with periodic confining potent...
Global well-posedness and stability of electro-kinetic flows
Navier-Stokes-Nernst-Planck-Poisson equations local and global well-posedness exponential stability of steady states
2012/6/27
We consider a coupled system of Navier-Stokes and Nernst-Planck equations, describing the evolution of the velocity and the concentration fields of dissolved constituents in an electrolyte solution. M...
Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term
Damped wave equations boundary delay global solutions exponential stability Kelvin-Voigt damping dynamic boundary conditions
2012/6/21
In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions related to the Kelvin-Voigt damping and a delay term acting on the boundary. If the weight of the delay ter...
Stability of Stationary Wave Maps from a Curved Background to a Sphere
Stability of Stationary Wave Maps Curved Background Sphere
2012/4/18
We study time and space equivariant wave maps from $M\times\RR\rightarrow S^2,$ where $M$ is diffeomorphic to a two dimensional sphere and admits an action of SO(2) by isometries. We assume that metri...
Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit
Spectral stability periodic wave trains Korteweg-de Vries/Kuramoto-Sivashinsky equation Korteweg-de Vries limit
2012/3/1
We study the spectral stability of a family of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation $ \partial_t v+v\partial_x v+\partial_x^3 v+\delta(\partial_x^2 v +\partial_x...
Growth rates, Hausdorff measure and stability for the p-obstacle problem(3/2≤p≤2)
growth rate Hausdorff measure obstacle problem stability
2011/10/17
In this paper, we consider the free boundary for the inho-mogeneous obstacle problem with zero obstacle. We firstly establish the growth rates for the solution u(x) and the gradient of u(x), awa...
Global Stability of Steady Transonic Euler Shocks in Quasi-One-Dimensional Nozzles
Transonic Euler Shocks Global Stability Quasi-One-Dimensional Nozzles Analysis of PDEs
2011/9/22
Abstract: We prove global in time dynamical stability of steady transonic shock solutions in divergent quasi-one-dimensional nozzles. We assume neither the smallness of the relative slope of the nozzl...
Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller-Segel equation
GNS inequality Log-HLS inequality critical mass Keller-Segel equation Analysis of PDEs
2011/9/23
Abstract: Starting from the quantitative stability result of Bianchi and Egnell for the 2-Sobolev inequality, we deduce several different stability results for a Gagliardo-Nirenberg-Sobolev inequality...
Stability of planar fronts for a non--local phase kinetics equation with a conservation law in $D \le 3$
phase kinetics fronts non-linear stability non local equation
2011/9/21
Abstract: We consider, in a $D-$dimensional cylinder, a non--local evolution equation that describes the evolution of the local magnetization in a continuum limit of an Ising spin system with Kawasaki...
A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance
parabolic inverse problem unknown boundary and impedance Analysis of PDEs
2011/9/21
Abstract: We consider the problem of determining an unaccessible part of the boundary of a conductor by mean of thermal measurements. We study a problem of corrosion where a Robin type condition is pr...
On asymptotic stability of moving ground states of the nonlinear Schrodinger equation
asymptotic stability nonlinear Schrodinger equation Analysis of PDEs
2011/9/20
Abstract: We extend to the case of moving solitons, the result on asymptotic stability of ground states of the NLS with a short range linear potential obtained by the author in a previous paper. Now w...
Stability of solitary waves for the generalized higher-order Boussinesq equation
Boussinesq equation solitary waves stability Analysis of PDEs
2011/9/19
Abstract: This work studies the stability of solitary waves of a class of sixth-order Boussinesq equations.
Orbital stability of standing waves of some m-coupled nonlinear Schrodinger equations
standing waves Orbital stability m-coupled nonlinear Schrodinger equations
2011/9/14
Abstract: We extend the notion of orbital stability to systems of nonlinear Schrodinger equations, then we prove this property under suitable assumptions of the local nonlinearity involved.