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三亚国际数学论坛：Mathematical Model and Computation of Nonlinear Problems
三亚国际数学论坛 Mathematical Model Computation of Nonlinear Problems
2017/11/24
The nonlinear problem is an important and interesting topic in many research fields. For example, the nonlinear optics model can more accurately describe the light propagation at very high intensities...
三亚国际数学论坛：PDE Models and Nonlinear Waves in Fluids and Plasmas
三亚国际数学论坛 PDE Models and Nonlinear Waves in Fluids and Plasmas
2017/7/3
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...
International Workshop on Nonlinear Analysis and Reaction-Diffusion Equations
International Workshop Nonlinear Analysis and Reaction-Diffusion Equations
2017/3/28
“International Workshop on Nonlinear Analysis and Reaction-Diffusion Equations”, is to be held at Jiangsu University, Zhenjiang, China, June 3-5, 2017 (with June 2nd as registration day). The aim of t...
Robustness Properties of Nonlinear Systems:Absolute Stability of Linear Systems
Robustness Properties Nonlinear Systems Absolute Stability Linear Systems
2015/9/29
Robustness Properties of Nonlinear Systems:Absolute Stability of Linear Systems.
On Lipschitz Inversion of Nonlinear Redundant Representations
Lipschitz Inversion Nonlinear Redundant Representations
2015/9/29
In this note we show that reconstruction from magnitudes of frame coefficients (the so called “phase retrieval problem”) can be performed using Lipschitz continuous maps. Specifically we show that whe...
Growth of Sobolev norms in the cubic defocusing nonlinear Schrodinger equation
Sobolev norms cubic defocusing nonlinear Schrodinger equation
2015/9/25
We consider the cubic defocusing nonlinear Schr¨odinger equation in the two dimensional torus. Fix s > 1. Colliander, Keel, Staffilani, Tao and Takaoka proved in [CKS+10] the existence of solutions wi...
A local mountain pass type result for a system of nonlinear Schrodinger equations
local mountain pass type nonlinear Schrodinger equations
2015/4/3
A local mountain pass type result for a system of nonlinear Schrodinger equations.
Standing waves with critical frequency for nonlinear Schrodinger equations
Standing waves critical frequency nonlinear Schrodinger equations
2015/4/3
Standing waves with critical frequency for nonlinear Schrodinger equations.
On the semi-classical limit for the focusing nonlinear Schrodinger equation: sensitivity to analytic properties of the initial data
focusing nonlinear Schrodinger equation semiclassical limit non-analyticity
2015/3/19
We present the results of a large number of careful numerical experiments carried out to investigate the way that the solution of the integrable focusing nonlinear Schrodinger equation with - xed ini...
Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity
solitary waves nonlinear Dirac equation arbitrary nonlinearity
2014/10/10
We consider the nonlinear Dirac equation in 1+1 dimension with scalar-scalar self interaction g 2κ +1 (ΨΨ)ˉ κ +1 and with mass m. Using the exact analytic form for rest frame solitary waves of the for...
A Nonlinear Multigrid Steady-State Solver for Microflow
Multigrid Boltzmann equation ES-BGK model NRxx method
2014/10/10
We develop a nonlinear multigrid method to solve the steady state of microflow,which is modeled by the high order moment system derived recently for the steadystate Boltzmann equation with ES-BGK coll...
Dynamical quorum-sensing and synchronization of nonlinear oscillators coupled through an external medium
Dynamical quorum-sensing synchronization of nonlinear oscillators external medium
2010/12/28
Many biological and physical systems exhibit population-density dependent transitions to syn-
chronized oscillations in a process often termed \dynamical quorum sensing". Synchronization
frequently ...
Explicit analytic solution for the nonlinear ion sound waves equation
Homotopy Analysis Method Plasma Physics
2010/9/21
In this article, we use an ecient analytical method called homotopy analysis method (HAM) to derive an approximate solution of nonlinear ion sound waves equation. Actually, we solved Korteweg-de Vrie...
General solutions of a class of axisymmetric deformation problems based on nonlinear elasticity
partial differential equation general solution
2010/9/21
This paper studies the general solutions of a system of partial differential equations, which can describe the finite deformation of an incompressible hyperelastic cylindrical tube composed of the kno...
Differential transform solution of some linear wave equations with mixed nonlinear boundary conditions and its blow up
Wave Equation Series Solution Energy Equation, Blow up
2010/9/20
Using Differential Transform to solve blow up solutions of some linear wave equation with mixed non-linear boundary conditions is proposed in this study.Non-linear boundary conditions cause the finite...