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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global strong solutions to the two-dimensional radially symmetric compressible MHD
二维径向对称 可压缩 磁流体动力学 全局强解
2023/12/11
In this talk, I will present our recent result the 2D radially symmetric compressible MHD with density-dependent viscosity. Under the condition of beta>1, we prove the global existence of the radially...
Discrete Parity-Time Symmetric Nonlinear Schrodinger Lattices
Lattices Parity-time Symmetry Schrodinger
2014/12/8
In this thesis we summarize the classical cases of one-dimensional oligomers and two dimensional plaquettes, respecting the parity-time (PT ) symmetry. We examine different types of solutions of such ...
Exact Analytic Solutions for the Rotation of an Axially Symmetric Rigid Body Subjected to a Constant Torque
Exact Analytic Solutions Rotation Axially Symmetric Rigid Body Constant Torque
2012/4/24
New exact analytic solutions are introduced for the rotational motion of a rigid body having two equal principal moments of inertia and subjected to an external torque which is constant in magnitude. ...
Analytic torsion and L^2-torsion of compact locally symmetric manifolds
analytic torsion locally symmetric manifolds Spectral Theory
2012/4/18
In this paper we study the analytic torsion and the $L^2$-torsion of compact locally symmetric manifolds. We consider the analytic torsion with respect to representations of the fundamental group whic...
Observables for bound orbital motion in axially symmetric space-times
Observables axially symmetric space-times General Relativity and Quantum Cosmology
2011/10/10
Abstract: The periastron shift and the Lense-Thirring effect of bound orbital motion in a general axially symmetric space-time given by Pleba\'nski and Demia\'nski are analyzed. We also define a measu...
Framework for discrete-time quantum walks and a symmetric walk on a binary tree
discrete-time quantum walks symmetric walk Framework Quantum Physics
2011/10/9
Abstract: We formulate a framework for discrete-time quantum walks, motivated by classical random walks with memory. We present a specific representation of the classical walk with memory 2 on which t...
Bound states of PT-symmetric separable potentials
PT-symmetric separable potentials High Energy Physics - Theory
2011/9/30
Abstract: All of the PT-symmetric potentials that have been studied so far have been local. In this paper nonlocal PT-symmetric separable potentials of the form $V(x,y)=i\epsilon[U(x)U(y)-U(-x)U(-y)]$...
Defect Solitons in PT Symmetric Optical lattices with nonlocal nonlinearity
Defect Solitons PT Symmetric Optical lattices nonlocal nonlinearity
2011/8/3
Abstract: The existence and stability of defect solitons in parity-time (PT) symmetric optical lattices with nonlocal nonlinearity are reported. Fundamental solitons are found in the semi-infinite gap...
Solitons supported by complex PT symmetric Gaussian potentials
Solitons complex PT symmetric Gaussian potentials Optics
2011/8/2
Abstract: The existence and stability of fundamental, dipole, and tripole solitons in Kerr nonlinear media with parity-time (PT) symmetric Gaussian complex potentials are reported. Fundamental soliton...
Perturbation Theory for PT-Symmetric Sinusoidal Optical Lattices at the Symmetry-Breaking Threshold
PT-Symmetric Sinusoidal Optical the Symmetry-Breaking Threshold
2011/8/31
The PT symmetric potential V0[cos(2x/a)+i sin(2x/a)] has a completely real spectrum for ≤ 1, and begins to develop complex eigenvalues for > 1. At the
symmetry-breaking threshold = 1 some of...
The Wave Equation in a General Spherically Symmetric Particlelike Geometry
The Wave Equation Spherically Symmetric Particlelike Geometry Analysis of PDEs
2011/7/28
The Wave Equation in a General Spherically Symmetric Particlelike Geometry.
The Wave Equation in a General Spherically Symmetric Black Hole Geometry
The Wave Equation Spherically Symmetric Black Hole Geometry General Relativity and Quantum Cosmology
2011/7/28
The Wave Equation in a General Spherically Symmetric Black Hole Geometry.
The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation
transmission eigenvalues inverse spectral problem variable-speed wave equation
2011/7/26
The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation.
Smooth Gowdy symmetric generalized Taub-NUT solutions
Gowdy symmetric Taub-NUT General Relativity and Quantum Cosmology
2011/7/27
Abstract: We study a class of S3 Gowdy vacuum models with a regular past Cauchy horizon which we call smooth Gowdy symmetric generalized Taub-NUT solutions. In particular, we prove existence of such s...
Non-adiabatic transitions in a non-symmetric optical lattice
Non-adiabatic transitions non-symmetric optical lattice
2011/7/27
Abstract: We study Landau-Zener interband transitions for a non-symmetric optical lattice in the presence of an external force. We show that gain and losses of the light beam, as well as the relative ...