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In the framework of linearized elasticity, the asymptotic expansion method is used to obtain an approximation of the displacement field of a beam with a variable cross section (in the sense that the section rotates along the longitudinal axis of the beam, keeping its form). We give a complete...
Let X be a conformally compact n-dimensional manifold with constant negative curvature −1 near infinity. The resolvent (Δ−s(n−1−s)) −1 , Res>n−1, of the Laplacian on X extends to a meromorphic family of operators on C and its poles are called resonances or scattering poles. If NX(r)...
The paper is concerned with the non-stationary semiconductor equations (van Roosbroeck's system) involving a gradient non-linearity which models the generation of particles due to impact ionization. We establish the existence of a weak solution to this system over a cylinder Ω×(0,T1) (Ω⊂R 2...
A model of reactive flow in a layered porous medium is considered in which the layering is represented by small-scale periodic structure. A novel form of homogenization analysis is presented, combining geometric optics and multiple scales expansions together with matched asymptotics to derive an...
We consider a reaction-diffusion system with fast reaction. An asymptotic analysis is performed, and an analytical expression for the thickness the essential reaction zone is derived.
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