搜索结果: 1-15 共查到“偏微分方程 Periodic”相关记录20条 . 查询时间(0.19 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...
The Algebro-Geometric Initial Value Problem for the Ruijsenaars-Toda Hierarchy and Quasi-Periodic Solutions
Ruijsenaars-Toda hierarchy complex-valued algebro-geometric solutions hyperelliptic curve Dubrovin-type equation Baker-Akhiezer vector
2012/4/27
We provide a detailed treatment of Ruijsenaars-Toda (RT) hierarchy with special emphasis on its the theta function representation of all algebro-geometric solutions. The basic tools involve hyperellip...
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...
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...
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...
The periodic two-dimensional $u$-$b$-equation as an EPDiff equation
2D-u-b-equation diffeomorphism group of the torus semidirect product geodesic flow Euler equation
2011/9/21
Abstract: We introduce a periodic two-dimensional $\mu$-$b$-equation and a periodic two-dimensional two-component $(\mu)$-Camassa-Holm equation which we study as geodesic flows on the diffeomorphism g...
The two-dimensional periodic $b$-equation on the diffeomorphism group of the torus
2D-b-equation diffeomorphism group of the torus geodesic flow sectional curvature Euler equation
2011/9/15
Abstract: We study some geometric aspects of the periodic two-dimensional Camassa-Holm equation (2D-CH) which re-expresses geodesic motion on the diffeomorphism group of the torus $\T = S^1 \times S^1...
Periodic long-time behaviour for an approximate model of nematic polymers
Periodic long-time behaviour nematic polymers Analysis of PDEs
2011/9/14
Abstract: We study the long-time behaviour of a nonlinear Fokker-Planck equation, which models the evolution of rigid polymers in a given flow, after a closure approximation. The aim of this work is t...
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...
On ringing effects near jump discontinuities for periodic solutions to dispersive partial differential equations
ringing effect dispersive equations weak solutions periodic boundary conditions Diophantine approximations Weyl shift method
2011/8/30
Abstract: We consider weak solutions to dispersive partial differential equations with periodic boundary conditions and initial data with jump discontinuities. These are already known to be continuous...
Broad Band Solitons in a Periodic and Nonlinear Maxwell System
Periodic Nonlinear Maxwell System nonlocal equations geometrical optics
2011/7/6
We consider the one-dimensional Maxwell equations with low contrast periodic linear refractive index and weak Kerr nonlinearity. In this context, wave packet initial conditions with a single carrier f...
On a periodic 2-component $\mu$-Hunter-Saxton equation
A periodic 2-component μ-Hunter-Saxton system blow-up scenario blow-up
2011/2/25
In this paper, we study the Cauchy problem of a periodic 2-component μ-Hunter-Saxton system. We first establish the local well-posedness for the periodic 2-component μ-Hunter-Saxton system by Kato’s s...
Existence of Doubly-Weighted Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Differential Equations
weight weighted pseudo-almost periodic doubly-weighted Bohr spectrum
2011/2/21
The main objective of this paper is twofold. We first show that if the doublyweighted Bohr spectrum of an almost periodic function exists, then it is either empty or coincides with the Bohr spectrum o...
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,...
Coherent Structures and Carrier Shocks in the Nonlinear Periodic Maxwell Equations
Coherent Structures Carrier Shocks Nonlinear Periodic Maxwell Equations
2010/12/15
We consider the one-dimensional propagation of electromagnetic waves in a weakly nonlinear
and low-contrast spatially inhomogeneous medium with no energy dissipation. We focus on the case of a period...