In this paper we propose the analysis of the incompressible nonhomogeneous Navier-Stokes equations with nonlinear outflow boundary condition. This kind of boundary condition appears to be, in some situations, a useful way to perform numerical computations of the solution to the unsteady Navier-Stokes equations when the Dirichlet data are not given explicitly by the physical context on a part of...

We investigate the nontrivial solutions for a class of the systems of the superquadratic nonlinear wave equations with Dirichlet boundary condition and periodic condition with a superquadratic nonlinear terms at infinity which have continuous derivatives. We approach the variational method and use the critical point theory on the manifold, in terms of the limit relative category of the sublevel...

X iv :h ep -t h/ 94 09 09 7v 1 1 7 Se p 19 94 CALT-68-1949, USC-94-015 hep-th/9409097 September 1994 On the non-relativistic limit of the quantum sine-Gordon model with integrable boundary condition. A. Kapustin, S. Skorik † Physics Department, California Institute of Technology, Pasadena, CA 91125. ‡ Physics Department, University of Southern California, Los Angeles, CA 90089-0484. Abstract We...

This paper is concerned with the Klein-Gordon-Maxwell system in a bounded spatial domain. We discuss the existence of standing waves ψ = u(x)e in equilibrium with a purely electrostatic field E = −∇φ(x). We assume an homogeneous Dirichlet boundary condition on u and an inhomogeneous Neumann boundary condition on φ. In the “linear” case we characterize the existence of nontrivial solutions for s...

A lattice Boltzmann method for a three dimensional lid driven cavity of cubic and parallelipedic geometries is developed on a desktop computer; No-slip boundary conditions are implemented by the so called Bounce back boundry conditions and the Dirichlet boundary condition for the upper moving wall is treated by the Zou/He boundary condition. The lattice Boltzmann simulation is carried out using...

in the present paper, a numerical method is considered for solving one-dimensionalheat equation subject to both neumann and dirichlet initial boundaryconditions. this method is a combination of collocation method and radial basis functions (rbfs). the operational matrix of derivative for laguerre-gaussians (lg) radial basis functions is used to reduce the problem to a set of algebraic equations...

We study certain relevant boundary perturbations of Liouville theory and discuss implications of our results for the brane dynamics in noncritical string theories. Our results include (i) There exist monodromies in the parameter μB of the Neumann-type boundary condition that can create an admixture represented by the Dirichlet type boundary condition, for example. (ii) Certain renormalization g...