Displaying similar documents to “Asymptotic behaviour of a class of degenerate elliptic-parabolic operators: a unitary approach”

Regularization of an unilateral obstacle problem

Ahmed Addou, E. Bekkaye Mermri, Jamal Zahi (2001)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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The aim of this article is to give a regularization method for an unilateral obstacle problem with obstacle ψ and second member f , which generalizes the one established by the authors of [4] in case of null obstacle and a second member is equal to constant 1 .

On a Variational Approach to some Quasilinear Problems

Canino, Annamaria (1996)

Serdica Mathematical Journal

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We prove some multiplicity results concerning quasilinear elliptic equations with natural growth conditions. Techniques of nonsmooth critical point theory are employed.

On the worst scenario method: a modified convergence theorem and its application to an uncertain differential equation

Petr Harasim (2008)

Applications of Mathematics

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We propose a theoretical framework for solving a class of worst scenario problems. The existence of the worst scenario is proved through the convergence of a sequence of approximate worst scenarios. The main convergence theorem modifies and corrects the relevant results already published in literature. The theoretical framework is applied to a particular problem with an uncertain boundary value problem for a nonlinear ordinary differential equation with an uncertain coefficient. ...

Partial regularity for anisotropic functionals of higher order

Menita Carozza, Antonia Passarelli di Napoli (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove a C k , α partial regularity result for local minimizers of variational integrals of the type I ( u ) = ∫ Ω f ( D k u ( x ) ) d x , assuming that the integrand satisfies growth conditions.


Coupling Darcy and Stokes equations for porous media with cracks

Christine Bernardi, Frédéric Hecht, Olivier Pironneau (2005)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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In order to handle the flow of a viscous incompressible fluid in a porous medium with cracks, the thickness of which cannot be neglected, we consider a model which couples the Darcy equations in the medium with the Stokes equations in the cracks by a new boundary condition at the interface, namely the continuity of the pressure. We prove that this model admits a unique solution and propose a mixed formulation of it. Relying on this formulation, we describe a finite element discretization...