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A device adaptive in ow boundary condition for Wigner equations of quantum transport
Frensley in ow boundary condition Wigner function Resonant tunneling diode
2014/9/26
In this paper, an improved in
ow boundary condition is proposed for Wigner equa-tions in simulating a resonant tunneling diode (RTD), which takes into consideration
the band structure of the device....
Plane Stagnation Double-Diffusive MHD Convective Flow with Convective Boundary Condition in a Porous Media
Plane Stagnation Double-Diffusive MHD Convective Flow and Porous Media
2013/1/30
A numerical analysis has been carried out to study the problem of plane stagnation double-diffusive MHD convective flow with convective boundary condition in a porous media. The governing nonlinear pa...
A Generalized FDTD Method with Absorbing Boundary Condition for Solving a Time-Dependent Linear Schrodinger Equation
Schrodinger Equation Absorbing Boundary FDTD Method Stability
2013/1/30
The Finite-Difference Time-Domain (FDTD) method is a well-known technique for the analysis of quantum devices. It solves a discretized Schr?dinger equation in an iterative process. However, the method...
Analysis of the Leray-α model with Navier slip boundary condition
turbulence model existence weak solution
2011/9/22
Abstract: In this paper, we establish the existence and the regularity of a unique weak solution to turbulent flows in a bounded domain ${\Omega}\subset \mathbb R^3$ governed by the so-called Leray-{\...
We prove an h-principle with boundary condition for a certain class of sheaves : Embop
d −→ Top.
On an inverse problem for a class of Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition
Dirac operator scattering function main equation
2010/9/25
In this paper, it is examined on the half line the inverse problem of scattering theory for a class Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition . T...
Inviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition
Inviscid Large deviation principle the 2D Navier Stokes equations
2010/11/23
Using a weak convergence approach, we prove a LPD for the solution of 2D stochastic Navier Stokes equations when the viscosity converges to 0 and the noise intensity is multiplied by the square root ...
Obstacle problem for SPDE with nonlinear Neumann boundary condition via reflected generalized backward doubly SDEs
SPDE nonlinear Neumann boundary condition
2010/11/19
This paper is intended to give a representation for stochastic viscosity solution of semi-linear reflected stochastic partial differential equations with nonlinear Neumann boundary condition. We use i...
Stochastic viscosity solution for stochastic PDIEs with nonlinear Neumann boundary condition
Stochastic viscosity solution stochastic PDIEs
2010/11/19
This paper is an attempt to extend the notion of viscosity solution to nonlinear stochastic partial differential integral equations with nonlinear Neumann boundary condition. Using the recently devel...
What is the boundary condition for radial wave function of the Schrödinger equation ?
Schrodinger equation radial equation boundary condition
2010/12/15
The mathematical physics literatures as well as quantum mechanics textbooks on spherically symmetric potentials are enormous. Despite of these there is no unique point of view about the boundary behav...
Vanishing viscosity limit for viscous magnetohydrodynamic equations with a slip boundary condition
Magnetohydrodynamic system lip boundary condition vanishing viscosity limit
2010/12/1
We consider the evolutionary MHD systems, and study the the regularity and vanishing viscosity limit of the 3-D viscous system in a class of bounded domains with a slip boundary condition. We derive t...
Principal Eigenvalue and Maximum Principle for some Elliptic Systems defined on General Domains with Refined Dirichlet Boundary Condition
General domains Refined Dirichlet Boundary Condition Refined Maximum Principle Elliptic Systems
2009/6/16
We prove the existence of a principal eigenvalue and we derive a ”Refined Maximum
Principle” for an elliptic system LU = LMU +F defined on an irregular bounded
domain in RN with Refined Dirichlet Bo...
On an Opial Inequality with a Boundary Condition
Opial inequality Integral condition Calculus of variation
2008/6/30
On an Opial Inequality with a Boundary Condition.
Asymptotic Behavior for Discretizations of a Semilinear Parabolic Equation with a Nonlinear Boundary Condition
Semidiscretizations Semilinear parabolic equation Asymptotic behavior Convergence
2010/1/22
This paper concerns the study of the numerical approximation for the following initial-boundary value problem: (P) where , and . We show that the solution of a semidiscrete form of (P) goes to ...
THE APPROXIMATIONS OF THE EXACT BOUNDARY CONDITION AT AN ARTIFICIALBOUNDARY FOR LINEARIZED INCOMPRESSIBLE VISCOUS FLOWS
Oseen equations Artificial boundary Artificial boundary condition Finite element approximation Error estimate
2007/12/12
We consider the linearized incompressible Navier-Stokes (Oseen)
equations in a flat channel. A sequence of approximations to the exact
boundary condition at an artificial boundary is derived. Then t...