Geodesic
Regularization of a two-dimensional singularly perturbed parabolic problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1423-1432 
A. S. Omuraliev. Regularization of a two-dimensional singularly perturbed parabolic problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1423-1432. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A regularized asymptotic expansion of the solution to a singularly perturbed two-dimensional parabolic problem in domains with boundaries containing corner points is constructed. The asymptotics of solutions to such problems contain ordinary boundary-layer functions, parabolic boundary-layer functions, and their products, which describe a corner boundary layer.

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