搜索结果: 1-15 共查到“偏微分方程 waves”相关记录19条 . 查询时间(0.125 秒)
2017年流体和等离子体中的偏微分方程模型和非线性研讨会（PDE Models and Nonlinear Waves in Fluids and Plasmas Workshop）
2017年 流体和等离子体中的偏微分方程模型和非线性 研讨会
2017/11/24
Incompressible and compressible fluids pose many important mathematical physics problems, which are crucial to understand the practical problems from gas dynamics, weather forecast, ocean waves and th...
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...
From resolvent estimates to damped waves
resolvent estimates damped waves Analysis of PDEs
2012/6/29
In this paper we show how to obtain decay estimates for the damped wave equation on a compact manifold without geometric control via knowledge of the dynamics near the un-damped set. We show that if r...
The paper presents a model of a dynamic crack with a wavy surface. So far, theoretical analysis of crack front waves has been performed only for in-plane perturbations of the crack front. In the prese...
Periodic Travelling Waves in Dimer Granular Chains
Periodic Travelling Waves Dimer Granular Chains Pattern Formation and Solitons
2012/4/26
We study bifurcations of periodic travelling waves in granular dimer chains from the anti-continuum limit, when the mass ratio between the light and heavy beads is zero. We show that every limiting pe...
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.
Spherical linear waves in de Sitter spacetime
spherical linear waves de Sitter spacetime Analysis of PDEs
2011/9/29
Abstract: With the Einstein-scalar field equations with positive cosmological constant in mind, we employ Christodoulou's framework, developed to study the vanishing cosmological constant case, to sph...
On the Production of Dissipation by Interaction of Forced Oscillating Waves in Fluid Dynamics
Equations of mixed hyperbolic and parabolic type oscillations BKW Calculus stability
2011/8/25
Abstract: In the context of some bidimensionnal Navier-Stokes model, we exhibit a family of exact oscillating solutions $\{u_{\epsilon}\}_{\epsilon}$ defined on some strip $[0,T]\times\R^2$ which does...
Global-in-time existence of perturbations around travelling-waves
nonlinear and nonlocal conservation law fractional anti-diffusive operator Duhamel formulation travelling-wave global-in-time existence
2011/8/22
Abstract: We investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove the global-...
Stability of waves using the Fredholm determinant
Stability of waves Fredholm determinant Analysis of PDEs
2011/8/23
Abstract: We present a new method for reducing the Fredholm determinant associated with an underlying Birman-Schwinger operator to a finite dimensional determinant. Moreover, we compute explicitly the...
Spontaneous symmetry breaking of photonic and matter waves in two-dimensional pseudopotentials
Spontaneous symmetry breaking photonic matter waves two-dimensional pseudopotentials
2011/7/6
We introduce the two-dimensional Gross-Pitaevskii/nonlinear-Schrodinger (GP/NLS) equation with the self-focusing nonlinearity confined to two identical circles, separated or overlapped. The model can ...
Asymptotic stability of small solitary waves for nonlinear Schrödinger equations with electromagnetic potential in $ \mathbb{R}^3$
Asymptotic stability of small solitary waves nonlinear Schrö dinger equations electromagnetic potential $ \mathbb{R}^3$
2011/1/17
We consider the nonlinear magnetic Schr¨odinger equation for u : R3 × R → C,iut = (i∇ + A)2u + V u + g(u), u(x, 0) = u0(x),where A : R3 → R3 is the magnetic potential, V : R3 → R is the electric...
Transverse instability for periodic waves of KP-I and Schrödinger equations
transverse instability periodic traveling waves KP-I equation Schr¨odinger equation
2011/1/21
We consider the quadratic and cubic KP - I and NLS models in 1+2 dimensions with periodic boundary conditions. We show that the spatially periodic travelling waves (with period
K) in the form u(t, x,...
Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations
Nonlinear instability linearly unstable standing waves nonlinear Schrö dinger equations
2010/12/13
We study the instability of standing waves for nonlinear Schr¨odinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instability in any dimensi...