Geodesic
Regularization of a two-dimensional singularly perturbed parabolic problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1423-1432

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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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     author = {A. S. Omuraliev},
     title = {Regularization of a~two-dimensional singularly perturbed parabolic problem},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1423--1432},
     publisher = {mathdoc},
     volume = {46},
     number = {8},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a6/}
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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/