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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...
Competitively Coupled Maps and Spatial Pattern Formation
Competitively Coupled Maps Spatial Pattern Formation
2012/4/26
Spatial pattern formation is a key feature of many natural systems in physics, chemistry and biology. The essential theoretical issue in understanding pattern formation is to explain how a spatially h...
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.
Spontaneous symmetry breaking in linearly coupled disk-shaped Bose-Einstein condensates
linearly coupled disk-shaped Bose-Einstein condensates Spontaneous symmetry breaking
2011/7/7
We study effects of tunnel coupling on a pair of parallel disk-shaped Bose-Einstein condensates with the self-attractive intrinsic nonlinearity. Each condensate is trapped in a combination of in-plane...
Scattering of Solitons for Dirac Equation Coupled to a Particle
Scattering of Solitons Dirac Equation Coupled Particle
2011/1/21
We establish soliton-like asymptotics for finite energy solutions to the Dirac equation coupled to a relativistic particle. Any solution with initial state close to the solitary manifold, converges in...
Numerical Continuation of resonances and bound states in coupled channel Schrödinger equations
Resonances Numerical Continuation Coupled Channels Schr¨odinger equation
2011/1/17
In this contribution, we introduce numerical continuation methods and bifurcation theory, techniques which find their roots in the study of dynamical systems,to the problem of tracing the parameter de...
Weak Maximum Principle for Strongly Coupled Elliptic Differential Systems
Weak maximum principle strongly coupled elliptic system weak solution
2010/12/10
A classical counterexample due to E. De Giorgi, shows that the weak maximum principle
does not remain true for general linear elliptic differential systems. After that, there are some efforts to esta...
Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
Nonlocal Cauchy problem Boussinesq equation Global existence Blow-up
2010/12/1
We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonne...
Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities
Solitary waves inhomogeneous nonlinearities nonlinear Schrodinger equations
2010/4/1
Using Lie group theory we construct explicit solitary wave solutions of coupled nonlinear Schrodinger systems with spatially inhomogeneous nonlinearities. We present the general theory, use it to cons...
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations
Navier-Stokes equations nonlinear Fokker-Planck equations global existence.
2014/4/3
We provide a proof of global regularity of solutions of coupled Navier-Stokes equations and Fokker-Planck equations, in two spatial dimensions, in the absence of boundaries. The proof yields a priori ...