搜索结果: 1-15 共查到“偏微分方程 existence”相关记录28条 . 查询时间(0.173 秒)
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...
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...
The pseudorelativistic Hartree equation with a general nonlinearity: existence, non existence and variational identities
The pseudorelativistic Hartree equation general nonlinearity non existence variational identities Analysis of PDEs
2012/6/21
We prove several existence and non existence results of solitary waves for a class of nonlinear pseudo-relativistic Hartree equations with general nonlinearities. We use variational methods and some n...
Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation
A periodic 2-component Camassa-Holm equation global existence blow-up blow-up rate
2011/10/17
We first establish local well-posedness for a periodic 2-component Camassa-Holm equation. We then present two global existence results for strong solutions to the equation. We finally obtain several b...
On the existence of weak solutions to the three-dimensional steady compressible Navier-Stokes equations in bounded domains
Steady compressible Navier-Stokes equations existence for any γ > 1 weighted estimate bounded domains
2011/9/22
Abstract: We prove the existence of a weak solution to the three-dimensional steady compressible isentropic Navier-Stokes equations in bounded domains for any specific heat ratio \gamma > 1. Generally...
Global existence of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions
Global existence nonlinear system wave and Klein-Gordon equations four space-time dimensions
2011/9/14
Abstract: In this article one will develop a so-called hyperboloidal foliation method, which is an energy method based on a foliation of space-time into hyperboloidal hypersurfaces. This method permit...
Transport equations with fractal noise - existence, uniqueness and regularity of the solution
Stochastic partial differential equations Transport equation Nonsmooth coefficients Fractional Brownian noise
2011/9/15
Abstract: The main result of the present paper is a statement on existence, uniqueness and regularity for mild solutions to a parabolic transport diffusion type equation that involves a non-smooth coe...
On the wave-breaking phenomena and global existence for the generalized periodic Camassa-Holm equation
Generalized periodic Camassa-Holm equation Wave-breaking Global existence
2011/9/9
Abstract: Considered herein is the initial-value problem for the generalized periodic Camassa-Holm equation which is related to the Camassa-Holm equation and the Hunter-Saxton equation. Sufficient con...
Existence of strong solutions in a larger space for the shallow-water system
the shallow-water system Analysis of PDEs
2011/9/5
Abstract: This paper is dedicated to the study of both viscous compressible barotropic fluids and Navier-Stokes equation with dependent density, when the viscosity coefficients are variable, in dimens...
Global existence and collisions for symmetric configurations of nearly parallel vortex filaments
Global existence and collisions parallel vortex filaments Analysis of PDEs
2011/9/1
Abstract: We consider the Schr\"odinger system with Newton-type interactions that was derived by R. Klein, A. Majda and K. Damodaran [18] to modelize the dynamics of N nearly parallel vortex filaments...
Global existence for the Euler-Maxwell system
Global existence the Euler-Maxwell system Analysis of PDEs
2011/8/30
Abstract: The Euler-Maxwell system describes the evolution of a plasma when the collisions are important enough that each species is in a hydrodynamic equilibrium. In this paper we prove global existe...
Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption
Very singular solution singular diffusion gradient absorption self-similar solutions p-Laplacian uniqueness
2011/8/26
Abstract: Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption {equation*} \partial_t u -\Delta_{...
On the Local Existence for the Characteristic Initial Value Problem in General Relativity
Characteristic Initial Value Problem General Relativity Analysis of PDEs
2011/9/29
Abstract: Given a truncated incoming null cone and a truncated outgoing null cone intersecting at a two sphere $S$ with smooth characteristic initial data, a theorem of Rendall shows that the vacuum E...
The global existence of the smoothing solution for the Navier-Stokes equations
smoothing solution Poisson’s equation heat-conduct equation the Schauder fixed-point theorem
2011/8/24
Abstract: This paper discussed the global existence of the smoothing solution for the Navier-Stokes equations. At first, we construct the theory of the linear equations which is about the unknown four...
Existence of Minimizers of a class of multi-constrained variationnal problems in the absence of compactness, symmetry and monotonicity
Minimizers multi-constrained variationnal problems absence of compactness symmetry and monotonicity
2011/8/23
Abstract: We prove the existence of minimizers of a class of multi-constrained variational problems in which the non linearity involved does not sat- isfy compactness, monotonicity, neither symmetry p...