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In Bose–Einstein condensation (BEC), particles occupy a single-particle quantum state, , macroscopically. At zero temperature, the wavefunction for  is usually described via a nonlinear Schrodinger ...
This paper develops a high-order accurate gas-kinetic scheme in the frame-work of the finite volume method for the one- and two-dimensional flow simulations, which is an extension of the third-order ...
The paper proposes and implements a third-order accurate direct Eulerian gen-eralized Riemann problem (GRP) scheme for one- and two-dimensional (1D & 2D) Euler equations in gas dynamics. It is an ext...
We present a computational gas dynamics method based on the Spectral Deferred Corrections (SDC) time integration technique and the Piecewise Parabolic Method (PPM) finite volume method. The PPM framew...
Abstract: The Cauchy problem of a multi-dimensional ($d\geqslant 2$) compressible viscous gas-liquid two-phase flow model is concerned in this paper. We investigate the global existence and uniqueness...
We show theoretically that the photoionization process in a hollow-core photonic crystal fiber filled with a Raman-inactive noble gas leads to a constant acceleration of solitons in the time domain wi...
A model kinetic equation is constructed for the transport of a massless Bose gas. This equation is applied to solution of the boundary value prob-lem for the transport of radiation in the half-space o...
We consider a quantum system in dimension three composed by a group of N iden- tical fermions, with mass 1/2, interacting via zero-range interaction with a group of M identical fermions of a differen...
Semiclassical multimode laser theory is extended to gas lasers with open two-dimensional resonators of arbitrary shape. The Doppler frequency shift of the linear-gain coefficient leads to an additiona...
The quantum-mechanical collapse (alias fall onto the center of particles attracted by potential -1/r^2), or "quantum anomaly", is a well-known issue in the quantum theory. We demonstrate that the mean...
We describe a Bethe ansatz based method to derive, starting from a multiple integral representation, the long-distance asymptotic behavior at finite temperature of the density-density correlation fun...
Following the seminal work of F. Bouchut on zero pressure gas dynamics which has been extensively used for gas particle-flows, the present contribution investigates quadrature-based velocity moments ...
We establish the global existence of L1 solutions for a model of polytropic gas ow with di usive entropy. The result is obtained by showing the convergence of a class of nite di erence schemes, whic...
We investigate the speed of approach to Maxwellian equilibrium for a collisionless gas enclosed in a vessel whose wall are kept at a uniform,constant temperature, assuming diffuse reflection of gas mo...
Theoretical analysis of random walk on percolation lattices has predicted that, at the occupied site concentrations of above the threshold value, a characteristic crossover between an initial sub-diff...

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