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Homogenization of locally stationary diffusions with possibly degenerate diffusion matrix

Rémi Rhodes (2009)

Annales de l'I.H.P. Probabilités et statistiques

This paper deals with homogenization of second order divergence form parabolic operators with locally stationary coefficients. Roughly speaking, locally stationary coefficients have two evolution scales: both an almost constant microscopic one and a smoothly varying macroscopic one. The homogenization procedure aims to give a macroscopic approximation that takes into account the microscopic heterogeneities. This paper follows [Probab. Theory Related Fields (2009)] and improves this latter work by...

Homogenization of random walk in asymmetric random environment.

Conlon, Joseph G. (2002)

The New York Journal of Mathematics [electronic only]

Homogenization of two randomly weakly connected materials.

Briane, M., Mazliak, L. (1998)

Portugaliae Mathematica

Homogenization with uncertain input parameters

Luděk Nechvátal (2010)

Mathematica Bohemica

We homogenize a class of nonlinear differential equations set in highly heterogeneous media. Contrary to the usual approach, the coefficients in the equation characterizing the material properties are supposed to be uncertain functions from a given set of admissible data. The problem with uncertainties is treated by means of the worst scenario method, when we look for a solution which is critical in some sense.

Hopf bifurcation with the spatial average of an activator in a radially symmetric free boundary problem.

Ham, Yoonmee (2010)

Mathematical Problems in Engineering

How parabolic free boundaries approximate hyperbolic fronts.

Gilding, Brian H., Natalini, Roberto, Tesei, Alberto (1997)

Memoirs on Differential Equations and Mathematical Physics

How the interface approaches the boundary in the Dead Core Problem.

L.A. Peletier, C.J. van Duijn (1992)

Journal für die reine und angewandte Mathematik

Hyperbolic functional-differential equations with unbounded delay.

Kamont, Z. (1999)

Zeitschrift für Analysis und ihre Anwendungen

Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds

Mouhamed Moustapha Fall, Fethi Mahmoudi (2008)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Given a domain $Ω$ of $ℝ^{m + 1}$ and a $k$ -dimensional non-degenerate minimal submanifold $K$ of $\partial Ω$ with $1 \leq k \leq m - 1$ , we prove the existence of a family of embedded constant mean curvature hypersurfaces in $Ω$ which as their mean curvature tends to infinity concentrate along $K$ and intersecting $\partial Ω$ perpendicularly along their boundaries.

Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups

Annalisa Baldi, Bruno Franchi, Maria Carla Tesi (2009)

Journal of the European Mathematical Society

Hysteresis memory preserving operators

Pavel Krejčí (1991)

Applications of Mathematics

The recent development of mathematical methods of investigation of problems with hysteresis has shown that the structure of the hysteresis memory plays a substantial role. In this paper we characterize the hysteresis operators which exhibit a memory effect of the Preisach type (memory preserving operators). We investigate their properties (continuity, invertibility) and we establish some relations between special classes of such operators (Preisach, Ishlinskii and Nemytskii operators). For a general...

Hysteresis operators - a new approach to evolution differential inequalities

Pavel Krejčí (1989)

Commentationes Mathematicae Universitatis Carolinae

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Currently displaying 21 – 32 of 32