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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The core-shell obstacle scattering in a multilayered medium
多层介质 核壳障碍物 散射 边界积分方程
2023/4/26
Scattering from the coated targets embedded in a multilayered medium has attracted much interest during recent years for extensive applications, such as sea radar target detection and underwater radar...
Unique Solutions to Hartree-Fock Equations for Closed Shell Atoms
Unique Solutions Hartree-Fock Equations Closed Shell Atoms
2011/2/25
In this paper we study the problem of uniqueness of solutions to the Hartree and Hartree-Fock equations of atoms. We show, for example, that the Hartree-Fock ground state of a closed shell atom is uni...
Spectrum is the most valuable resource in the communication system, but unfor-tunately, so far, a half of the spectrum has been wasted, that is negative frequency spectrum.
Shell structure and orbit bifurcations in finite fermion systems
Shell structure orbit bifurcations finite fermion systems
2011/3/2
We first give an overview of the shell-correction method which was developed by V. M.Strutinsky as a practicable and efficient approximation to the general selfconsistent theory of finite fermion syst...
We formulate and prove a new criterion for stability of e–processes introduced by A. Lasota and T. Szarek [J. Differential Equations 231 (2006), 513–533]. In particular we prove that that any e–proces...
Interpolating Thin-Shell and Sharp Large-Deviation Estimates For Isotropic Log-Concave Measures
Interpolating Thin-Shell Sharp Large-Deviation Estimates Isotropic Log-Concave Measures
2010/11/9
Given an isotropic random vector $X$ with log-concave density in Euclidean space $\Real^n$, we study the concentration properties of $|X|$. We show in particular that: \[ \P(|X| \geq (1+t) \sqrt{n}) ...
A NOTE ON THE REGULARITY OF INVISCID SHELL MODEL OF TURBULENCE
NOTE ON THE REGULARITY INVISCID SHELL MODEL OF TURBULENCE
2014/4/4
In this paper we continue the analytical study of the sabra shell model of energy turbulent cascade initiated in [11]. We prove the global existence of weak solutions of the inviscid sabra shell model...
ANALYTIC STUDY OF SHELL MODELS OF TURBULENCE
Turbulence Dynamic models Shell models Navier–Stokes equations.
2014/4/4
In this paper we study analytically the viscous sabra shell model of energy turbulent cascade. We prove the global regularity of solutions and show that the shell model has finitely many asymptotic de...