Cauchy problem for an isentropic magnetogasdynamic system

Cauchy Problem for the Vlasov-Poisson-Boltzmann System

The dynamics of the dilute electrons can be modeled by the fundamental Vlasov-PoissonBoltzmann system when the electrons interact with themselves through collisions in the selfconsistent electric field. In this paper, it is shown that any smooth initial perturbation of a given global Maxwellian leads to a unique global-in-time classical solution when either the mean free path is small or the ba...

An optimal control problem for a engineering system

In this article, we apply this new method for solving an engineering systemwith initial and boundary conditions and integral criterion ,and we will usingdynamic programming as iteration for solving model.

The Cauchy Problem for Membranes

We show existence and uniqueness for timelike minimal submanifolds (world volume of p-branes) in ambient Lorentz manifolds admitting a time function in a neighborhood of the initial submanifold. The initial value formulation introduced and the conditions imposed on the initial data are given in purely geometric terms. Only an initial direction must be prescribed in order to provide uniqueness f...

Numerical Solution of a Cauchy Problem for an Elliptic Equation

On the Cauchy Problem for the Full Von Kk Armm an System

We consider here the Cauchy problem for the full system of dynamic Von KK armm an equations, which is a model for the vibrations of a nonlinear elastic plate. We prove global existence and uniqueness of nite energy solutions in the case of an innnite plate. We show then that our methods and results still hold for a rectangular plate which is simply supported or clamped at the boundary. Moreover...