Abstract Modeling in Nonlinear Optics, and also in other fields of Physics and Mechanics,
yields interesting and difficult problems due to the presence of several different scales of …

This work presents an extensive discussion of initial boundary value problems in
thermoelasticity. First, the classical hyperbolic–parabolic model with Fourier's law of heat …

1.1. Background Systems of thermoelasticity describe the elastic and thermal behavior of
elastic, heatconducting media, in particular the reciprocal actions between elastic stresses …

These notes develop aspects of perturbation theory of matrices related to so-called
diagonalisation schemes. Primary focus is on constructive tools to derive asymptotic …

The goal of the paper is to study the Cauchy problem for 1D models of thermodiffusion. We
explain qualitative properties of solutions. In particular, we show which part of the model has …

Anisotropic thermo-elasticity in 2D. Part II: Applications Page 1 Asymptotic Analysis 57 (2008)
29–40 29 DOI 10.3233/ASY-2008-0883 IOS Press Anisotropic thermo-elasticity in 2D. Part II …

In this short note we deal with a constructive scheme to decompose a continuous family of
matrices A (ρ) asymptotically as ρ→ 0 into blocks corresponding to groups of eigenvalues of …

In this paper we develop tools to study the Cauchy problem for the system of thermo-
elasticity in higher dimensions. The theory is developed for general homogeneous …

This thesis treats the global existence of solutions of the system of nonlinear elasticity,
obtained as a perturbation of the linear system of crystal acoustics for tetragonal crystals …

We present a unified treatment of the type-1 model of anisotropic thermoelasticity in two
space dimensions and derive dispersive estimates for its solutions. The approach is based …