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Let f: [0, 1] -+ [0, 1] be continuous. For x, y E [0, 1], the upper and lower (distance) distribution functions, Fx*y and Fxy, are defined for any t > 0 as the lim sup and lim inf as n -+ oc of the… (More)

A body of literature has developed concerning “cloaking by anomalous localized resonance.” The mathematical heart of the matter involves the behavior of a divergence-form elliptic equation in the… (More)

The singularly perturbed two-well problem in the theory of solid-solid phase transitions takes the form I e [u] = ∫ 1 eW(∇u) + e|∇ 2 u| 2 , Ω where u: Ω ⊂ R n → R n is the deformation, and W vanishes… (More)

We investigate the motion of two immiscible fluids in a porous medium described by a two-phase flow system. In the capillary pressure relation, we include static and dynamic hysteresis. The model is… (More)

We study flow problems in unsaturated porous media. Our main interest is the gravity driven penetration of a dry material, a situation in which fingering effects can be observed experimentally and… (More)

- Tomás Dohnal, Agnes Lamacz, Ben Schweizer
- Multiscale Modeling & Simulation
- 2013

We investigate second order linear wave equations in periodic media, aiming at the derivation of effective equations in $\R^n$, $n \in \{1, 2, 3\}$. Standard homogenization theory provides, for the… (More)

We investigate flow problems in unsaturated porous media with hysteresis effects in the capillary pressure relation. The model expands the Richards equation, gravity is included and the space… (More)

We investigate the dynamics of a system of two reaction diffusion equations in one space dimension, and study the effect of a small and of a vanishing diffusion coefficient in one equation. The… (More)

- Ben Schweizer
- 1997

We consider the free boundary problem of a liquid drop with viscosity and surface tension. We study the linearized equations with semigroup methods to get existence results for the nonlinear problem.… (More)

- S. Heinze, Ben Schweizer
- 2005

We study systems of reaction–diffusion type for two species in one space dimension and investigate the dynamics in the case where the second species does not diffuse. We consider competing species… (More)