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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global unique solutions for the inhomogeneous Navier-Stokes equation with only bounded density, in critical regularity spaces
临界正则性空间 界密度 非齐次 纳维-斯托克斯方程 全局唯一解
2023/4/25
Our work is to prove the global existence and uniqueness of solutions to the inhomogeneous incompressible Navier-Stokes system in the case where the initial density $\rho_0$ is discontinuous and the i...
Positivity bounds for the Yano-Arnowitt-Deser-Misner mass density
Vector conservation of gravity mass density energy
2014/12/20
Killing-Yano tensors are natural generalizations of Killing vectors to arbitrary rank antisymmetric tensor fields. It was recently shown that Killing-Yano tensors lead to conserved gravitational charg...
Effects of boundaries and density inhomogeneity on states of vortex matter in Bose-Einstein condensates at finite temperature
Quantum vortices 3 d eddy current condensate vortex entanglement
2014/12/19
Most of the literature on quantum vortices predicting various states of vortex matter in three dimensions at finite temperatures in quantum fluids is based on the assumption of an extended and homogen...
A Note on the Analyticity of Density of States
Analyticity of Density of States Mathematical Physics
2012/5/9
We consider the $d$-dimensional Anderson model, and we prove the density of states is locally analytic if the single site potential distribution is locally analytic and the disorder is large. We emplo...
视频：南京大学大学物理学第45讲 Probability density。
Contradiction of the DENSITY MATRIX notion in quantum mechanics
Contradiction of the DENSITY MATRIX notion quantum mechanics General Physics
2012/4/19
It is shown that description of a nonpolarized neutron beam by density matrix is contradictory. Density matrix is invariant with respect to choice of quantization axis, while experimental devices can ...
Uniform existence of the integrated density of states on metric Cayley graphs
random Schrodinger operator metric graph quantum graph integrated density of states
2011/7/27
Abstract: Given a finitely generated amenable group we consider ergodic random Schr\"odinger operators on a Cayley graph with random potentials and random boundary conditions. We show that the normali...
Homogenization of Steklov spectral problems with indefinite density function in perforated domains
Homogenization eigenvalue problems perforated domains indefinite weight function two-scale convergence
2011/7/28
Abstract: The asymptotic behavior of second order self-adjoint elliptic Steklov eigenvalue problems with periodic rapidly oscillating coefficients and with indefinite (sign-changing) density function ...
Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains
Homogenization eigenvalue problems perforated domains indefinite weight function two-scale convergence
2011/7/28
Abstract: Spectral asymptotics of linear periodic elliptic operators with indefinite (sign-changing) density function is investigated in perforated domains with the two-scale convergence method. The l...
Density Functional Resonance Theory of Unbound Electronic Systems
Density Functional Resonance Theory Electronic Systems
2011/9/14
Density Functional Resonance Theory (DFRT) is a complex-scaled version of ground-state Density Functional Theory (DFT) that allows one to calculate the resonance energies and lifetimes of metastable a...
Electron star birth: A continuous phase transition at nonzero density
Electron star birth continuous phase transition
2010/12/24
We show that charged black holes in Anti-de Sitter spacetime can undergo a third order phase transition at a critical temperature in the presence of charged fermions. In the low temperature phase, a f...
Forty-five years after the point de d\'epart [1] of density functional theory, its applications in chemistry and the study of electronic structures keep steadily growing. However, the precise form of...
Energy density in density functional theory: Application to crystalline defects and surfaces
Energy density density functional theory crystalline defects surfaces
2010/11/25
We propose a method to decompose the total energy of a supercell containing defects into
contributions of individual atoms, using the energy density formalism within density functional
theory. The s...
Time-Dependent Density Functional Theory for Driven Lattice Gas Systems with Interactions Driven Lattice Gas Systems with Interactions
Time-Dependent Density Functional Theory Driven Lattice Gas Systems
2010/11/23
We present a new method to describe the kinetics of driven lattice gases with particle-particle
interactions beyond hard-core exclusions. The method is based on the time-dependent density
functional...
A density-functional approach on the hexagonal graphene lattice is developed using an exact
numerical solution to the Hubbard model as the reference system. Both nearest-neighbour and up
to third ne...