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We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
An exact macroscopic extended model for ultrarelativistic gases,with an arbitrary number of moments, is present in the literature.Here we exploit equations determining wave speeds for that model.We fi...
Starting from a given Markov kernel on a finite set $V$ and a bijection $g$ of $V$, we construct and study a time inhomogeneous Markov chain whose kernel at time $n$ is obtained from $K$ by transport...
A class of differentiable solutions is proved for the isentropic Euler equations in two and three space dimensions. The solutions are explicitly given in terms of solutions to inviscid Burgers equati...
It is well-known that one-dimensional isentropic gas dynamics has two elementary waves, i.e., shock wave and rarefaction wave. Among the two waves, only the rarefaction wave can be connected with vac...
The paper is a presentation of recent investigations on potential scattering in R3. We advocate a new formula for the wave operators and deduce the various outcomes that follow from this formula. A t...

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