Écoulements en milieu poreux n'obéissant pas à la loi de Darcy
EDSR, convergence en loi et homogénéisation d'EDP paraboliques semi-linéaires
Effects of small spatial variation of the reproduction rate in a two species competition model.
Effets régularisants de semi-groupes non linéaires dans des espaces de Banach
Efficient algorithm to solve optimal boundary control problem for Burgers' equation
In this paper, we propose a novel algorithm for solving an optimal boundary control problem of the Burgers' equation. The solving method is based on the transformation of the original problem into a homogeneous boundary conditions problem. This transforms the original problem into an optimal distributed control problem. The modal expansion technique is applied to the distributed control problem of the Burgers' equation to generate a low-dimensional dynamical system. The control parametrization method...
Efficient preconditioning for sequences of parametric complex symmetric linear systems.
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
In this paper, we extend the reduced-basis approximations developed earlier for linear elliptic and parabolic partial differential equations with affine parameter dependence to problems involving (a) nonaffine dependence on the parameter, and (b) nonlinear dependence on the field variable. The method replaces the nonaffine and nonlinear terms with a coefficient function approximation which then permits an efficient offline-online computational decomposition. We first review the coefficient function...
Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions
Ein Gewisses Randproblem aus der Theorie der Wärmeleitfähigkeit
Ein Maximumprinzip für nichtlineare parabolische Systeme.
Ein neues Surjektivitätskriterium im Hilbertraum.
Ein singulär gestörtes Problem für eine lineare parabolische Differentialgleichung beliebiger Ordnung
Eine parabolische Gleichung mit vergänglichen Lösungen.
Einige Anwendungen der mehrdimensionalen approximationstheorie zur Lösungseinschließung bei Randwertaufgaben
Einschliessungsaussagen bei Systemen semilinearer parabolischer Differentialgleichungen
Für die Lösungen seminlinearer parabolischer Differentialgleichungen werden Einschliessungsaussagen hergeleitet. Hierbei werden Aussagen zur Stabilität von Lösungen ermittelt. Die Resultate werden am Beispiel der Fitzhugh-Nagumo Gleichungen diskutiert.
Elastoplastic reaction of a container to water freezing
The paper deals with a model for water freezing in a deformable elastoplastic container. The mathematical problem consists of a system of one parabolic equation for temperature, one integrodifferential equation with a hysteresis operator for local volume increment, and one differential inclusion for the water content. The problem is shown to admit a unique global uniformly bounded weak solution.
Elementary proofs of some basic subtemperature theorems
We present simple elementary proofs of several theorems about temperatures and subtemperatures. Most of these are concerned with mean values over heat spheres, heat balls, and modified heat balls, with applications to proving Harnack theorems and the monotone approximation of subtemperatures by smooth subtemperatures.
Elliptic regularization and Navier-Stokes system.
Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
Energy error estimates for the projection-difference method with the Crank--Nicolson scheme for parabolic equations.