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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On nonlinear Schrodinger-type equations with nonlinear damping
非线性阻尼 非线性 薛定谔型方程
2023/4/25
In this talk，I will introduce equations of nonlinear Schrodinger-type augmented by nonlinear damping terms. The nonlinear damping can prevent finite time blow-up in several situations. The solution of...
Rice U. Physicists Discover New Type Of Quantum Material（图）
Rice U. Physicists New Type Of Quantum Material
2018/1/10
U.S. and European physicists searching for an explanation for high-temperature superconductivity were surprised when their theoretical model pointed to the existence of a never-before-seen material in...
Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type
fractional derivative distributed-order fractional derivative fractional viscoelastic material forced oscillations of a rod
2012/7/11
We study forced oscillations of a rod with a body attached to its free end so that the motion of a system is described by two sets of equations, one of integer and the other of the fractional order. T...
Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry
N-fold supersymmetry Position-dependent mass Dynamical symmetry breaking Quasisolvability Exceptional orthogonal polynomials
2012/4/23
We investigate effect of position-dependent mass profiles on dynamical breaking of N-fold supersymmetry in several type B and type X_2 models. We find that N-fold supersymmetry in rational potentials ...
On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System
Lax type integrability Riemann type hydrodynamic system symplectic method differential-algebraic approach
2012/4/26
The complete integrability of a generalized Riemann type hydrodynamic system is studied by means of symplectic and differential-algebraic tools. A compatible pair of polynomial Poissonian structures, ...
Abstract: We show that the Pfaffian of a generator matrix for the affine Kac--Moody algebra hat o_{2n} is a Segal--Sugawara vector. Together with our earlier construction involving the symmetrizer in ...
On the Mathematical Nature of Guseinov's Rearranged One-Range Addition Theorems for Slater-Type Functions
Slater-type function Addition theorem Laguerre expansion Power series
2011/9/19
Abstract: Starting from one-range addition theorems for Slater-type functions, which are expansion in terms of complete and orthonormal functions based on the generalized Laguerre polynomials, Guseino...
Quadratic estimates for perturbed Dirac type operators on doubling measure metric spaces
Quadratic estimates holomorphic functional calculi doubling measure measure metric space Dirac type operators
2011/9/15
Abstract: We consider perturbations of Dirac type operators on complete, connected metric spaces equipped with a doubling measure. Under a suitable set of assumptions, we prove quadratic estimates for...
Discrete Schrodinger operators with random alloy-type potential
multiscale analysis fractional moment method Cartan’s Theorem localization discrete alloy-type model non-monotone
2011/9/6
Abstract: We review recent results on localization for discrete alloy-type models based on the multiscale analysis and the fractional moment method, respectively. The discrete alloy-type model is a fa...
Holonomy observables in Ponzano-Regge type state sum models
Holonomy observables Ponzano-Regge type state sum models group elements Chern-Simons theory
2011/7/29
Abstract: We study observables on group elements in the Ponzano-Regge model. We show that these observables have a natural interpretation in terms of Feynman diagrams on a sphere and contrast them to ...
Absence of traveling wave solutions of conductivity type for the Novikov-Veselov equations at zero energy
traveling wave conductivity type the Novikov-Veselov equations zero energy
2011/7/27
Abstract: We prove that the Novikov-Veselov equation (an analog of KdV in dimension 2 + 1) at zero energy does not have sufficiently localized soliton solutions of conductivity type.
Systems of Kowalevski type, discriminantly separable polynomials and quad-graphs
Systems of Kowalevski type discriminantly separable polynomials quad-graphs
2011/7/27
Systems of Kowalevski type, discriminantly separable polynomials and quad-graphs.
Initial value problems in Clifford-type analysis
Initial value problem associated operators Clifford type algebra depending on parameters
2011/7/28
Initial value problems in Clifford-type analysis.
Action-angle duality between the C(n)-type hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen models
Action-angle duality the C(n)-type hyperbolic Sutherland the rational Ruijsenaars-Schneider-van Diejen models
2011/7/26
Abstract: In a symplectic reduction framework we construct action-angle systems of canonical coordinates for both the hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen integrable...
On a proof of the collapse conjecture for a diagonal Bianchi type-IX vacuum space-time
collapse conjecture diagonal Bianchi type-IX vacuum space-time General Relativity and Quantum Cosmology
2011/7/27
Abstract: It is given a simple proof of the collapse conjecture for a diagonal Bianchi type-IX vacuum space-time. It is shown that the codimension of the infinity stable attractor, restricted to the a...