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This paper deals with the existence and uniqueness of the weak periodic solution for a model of transport of a pollutant flow in a porous medium.. Our model is described by means of

We adapt the results of Oelschl¨ager (1985) to prove a weak law of large numbers for an interacting particles process which, in the limit, produces a solution to Burgers equation

Asymptotic behavior of the curvature near the boundary of moduli is also discussed via the theory of variations of Hodge structures.. 2000 Mathematics Subject Classification:

A linear partial differential equation is called Gevrey hypoelliptic if every its solution is Gevrey analytic (in this context we can assume a solution in a very large space such as

The paper is devoted to proving the existence and uniqueness of a strong solution of a mixed problem with integral boundary conditions for a certain singular parabolic equation..

We use direct variational method in order to investigate the de- pendence on parameter for the solution for a Duffing type equation with Dirichlet boundary value conditions..

We derive here the field and the constitutive equations, as well as the boundary conditions, related to the behavior of incremental fields superposed on large static initial

Burenkov Key words: Helmholtz potential, fundamental solution of Helmholtz equation, potential density, potential boundary condition, inverse problem.. AMS Mathematics Subject