In this report, we present parallel solutions of realistic three-dimensional ows obtained on the Intel Paragon, the Cray T3D and the Ibm SP2 MPPs (Massively Parallel Processors). The solver under consideration is a representative subset of an existing industrial code, N3S-MUSCL (a three-dimensional compressible Navier-Stokes solver, see Chargyy3]). It implements a mixed nite element//nite volum...

A family of exact conformal field theories is constructed which describe charged black strings in three dimensions. Unlike previous charged black hole or extended black hole solutions in string theory, the low energy spacetime metric has a regular inner horizon (in addition to the event horizon) and a timelike singularity. As the charge to mass ratio approaches unity, the event horizon remains ...

We consider the quasi-geostrophic model and its two different regularizations. Global regularity results are established for the regularized models with critical or sub-critical indices. Constantin, E and Titi’s proof of Onsager’s conjecture [2] and the notion of dissipative solutions of Duchon and Robert [9] are extended to weak solutions of the quasi-geostrophic equation. AMS (MOS) Numbers: 8...

In this paper we consider a Neumann problem of the type (Pλ) 8< : −∆u = α(x)(|u|q−2u− u) + λf(x, u) in Ω, ∂u ∂ν = 0 on ∂Ω. Applying the theory developed in [13], we establish, under suitable assumptions, the existence of an open interval Λ ⊆ R and of a positive real number %, such that, for each λ ∈ Λ, problem (Pλ) admits at least three weak solutions in W 1,2(Ω) whose norms are less than %. Le...

The Stroh formalism is extended to provide a new class of three-dimensional solutions for the generally anisotropic elastic material that have polynomial dependence on x3, but which have quite general form in x1; x2. The solutions are obtained by a sequence of partial integrations with respect to x3, starting from Stroh’s two-dimensional solution. At each stage, certain special functions have t...

this paper is concerned with the study of the existence of positive solutions for a navier boundaryvalue problem involving the p-biharmonic operator; the right hand side of problem is a nonsmoothfunctional with variable parameters. the existence of at least three positive solutions is establishedby using nonsmooth version of a three critical points theorem for discontinuous functions. our resul...