On contrast structures in a problem of the  baretting effect

E. I. Nikulin ; V. T. Volkov ; A. G. Nikitin

Teoretičeskaâ i matematičeskaâ fizika, Tome 220 (2024) no. 1, pp. 154-163

Résumé

We obtain a contrast-structure type solution of a system of equations for the baretting effect that include a nonlinear singularly perturbed parabolic equation and an additional nonlocal integral relation. We prove the existence of the solution with an internal transition layer and construct the asymptotic approximation of this solution. We obtain estimates of the main physical model parameters, which coincide with experimental data and the estimates obtained previously by other methods.

Détail

Keywords: singularly perturbed parabolic equations, contrast structures, internal layers, asymptotic methods, baretting effect.
Mots-clés : reaction–diffusion equations

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