We show that the singular dissipative potential of the phenomenological rate-independent
plasticity can be obtained by homogenization of a micro-model with quadratic dissipation …

Martensitic phase transitions are often modeled by mixed-type hyperbolic-elliptic systems.
Such systems lead to ill-posed initial-value problems unless they are supplemented by an …

We improve upon a method introduced in Bertalmio et al. 4 for solving evolution PDEs on
codimension-one surfaces in R^ N. As in the original method, by representing the surface as …

In this paper, we shall survey some recent results on the wave propagation in 2-species
competition systems with Lotka-Volterra type nonlinearity. This includes systems with …

The present book introduces and develops mathematical techniques for the treatment of
nonlinear waves and singular perturbation methods at a level that is suitable for graduate …

In this paper, we study a very general non-local lattice differential equation with delay. We
obtain the existence of the asymptotic speed of propagation, the existence and uniqueness …

Semiconductor superlattices are periodic nanostructures consisting of epitaxially grown
quantum wells and barriers. For thick barriers, the quantum wells are weakly coupled and …

We study a model describing the force-extension curves of modular proteins, nucleic acids,
and other biomolecules made out of several single units or modules. At a mesoscopic level …

Pinning and de-pinning phenomena in front propagation in heterogeneous media Page 1
Interfaces and Free Boundaries 8 (2006), 79–109 Pinning and de-pinning phenomena in front …

This paper deals with extinction of an isolated population caused by intrinsic noise. We
model the population dynamics in a “refuge” as a Markov process which involves births and …