Abstract. We study a nonlinear pseudodifferential equation describing the dynamics of dislocations in crystals. The long time asymptotics of solutions is described by the self-similar profiles. 1
We consider an evolution equation arising in the Peierls\u2013Nabarro model for crystal dislocation....
We study a parabolic differential equation whose solution represents the atom dislocation in a cryst...
We present a technique to prove existence and analytic dependence with respect to the relevant pertu...
Abstract. We study a nonlinear pseudodifferential equation describing the dynamics of dislocations. ...
In this article, we present briefly a mathematical study of the dynamics of line defects called disl...
We study the problem of large time existence of solutions for a mathematical model describing disloc...
We describe the asymptotic states for the solutions of a nonlocal equation of evolutionary type, whi...
AbstractIn this paper we study the shrinking self-similar solutions of the nonlinear diffusion equat...
We describe the asymptotic states for the solutions of a nonlocal equation of evolutionary type, whi...
Based on the principle given in nonlinear diffusion-reaction dynamics, a new dynamic model for dislo...
This work focuses on the study of the dislocation dynamics in the crystal lattice and it is splitted...
The formation and stability of dislocation patterns are interpreted on the basis of instabilities oc...
The long-time asymptotic solutions of initial value problems for the heat equation and the nonlinear...
By distinguishing among mobile and immobile dislocations and operating within the framework of conti...
We consider an evolution equation arising in the Peierls–Nabarro model for crystal dislocation. We s...
We consider an evolution equation arising in the Peierls\u2013Nabarro model for crystal dislocation....
We study a parabolic differential equation whose solution represents the atom dislocation in a cryst...
We present a technique to prove existence and analytic dependence with respect to the relevant pertu...
Abstract. We study a nonlinear pseudodifferential equation describing the dynamics of dislocations. ...
In this article, we present briefly a mathematical study of the dynamics of line defects called disl...
We study the problem of large time existence of solutions for a mathematical model describing disloc...
We describe the asymptotic states for the solutions of a nonlocal equation of evolutionary type, whi...
AbstractIn this paper we study the shrinking self-similar solutions of the nonlinear diffusion equat...
We describe the asymptotic states for the solutions of a nonlocal equation of evolutionary type, whi...
Based on the principle given in nonlinear diffusion-reaction dynamics, a new dynamic model for dislo...
This work focuses on the study of the dislocation dynamics in the crystal lattice and it is splitted...
The formation and stability of dislocation patterns are interpreted on the basis of instabilities oc...
The long-time asymptotic solutions of initial value problems for the heat equation and the nonlinear...
By distinguishing among mobile and immobile dislocations and operating within the framework of conti...
We consider an evolution equation arising in the Peierls–Nabarro model for crystal dislocation. We s...
We consider an evolution equation arising in the Peierls\u2013Nabarro model for crystal dislocation....
We study a parabolic differential equation whose solution represents the atom dislocation in a cryst...
We present a technique to prove existence and analytic dependence with respect to the relevant pertu...