Details

Autor(en) / Beteiligte

• Nikulin, E. I.
• Volkov, V. T.
• Nikitin, A. G.

Titel

On contrast structures in a problem of the baretting effect theory

Ist Teil von

• Theoretical and mathematical physics, 2024-07, Vol.220 (1), p.1193-1200

Ort / Verlag

Moscow: Pleiades Publishing

Erscheinungsjahr

2024

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.