The aim of this paper is to construct regularized asymptotics of the solution of a twodimensional partial differential equation of parabolic type with a small parameter for all spatial derivatives and a rapidly oscillating free term.
The case when the first derivative of the phase of the free term at the initial point vanishes is considered. The twodimensionality of the equation leads to the emergence of a twodimensional boundary layer. The presence in the free term of a rapidly oscillating factor leads to the inclusion in the asymptotic of the boundary layer with a rapidly oscillating nature of change. The vanishing of the derived phase of the free term introduces into the asymptotic of a new type of boundary layer function. A complete asymptotic solution of the problem is constructed by the method of regularization of singularly perturbed problems developed by S.А. Lomov and adapted by one of the authors for singularly perturbed parabolic equations.
Birincil Dil  en 

Konular  Mühendislik 
Bölüm  Araştırma Makalesi 
Yazarlar 

Tarihler 
Yayımlanma Tarihi : 18 Haziran 2019 
Bibtex  @araştırma makalesi { mjen526408,
journal = {MANAS Journal of Engineering},
issn = {16947398},
eissn = {16947398},
address = {},
publisher = {Kırgızistan Türkiye Manas Üniversitesi},
year = {2019},
volume = {7},
pages = {52  59},
doi = {},
title = {Twodimensional parabolic problem with a rapidly oscillating free term},
key = {cite},
author = {Abylaeva, Ella and Omuraliev, Asan}
} 
APA  Abylaeva, E , Omuraliev, A . (2019). Twodimensional parabolic problem with a rapidly oscillating free term. MANAS Journal of Engineering , 7 (1) , 5259 . Retrieved from https://dergipark.org.tr/tr/pub/mjen/issue/45851/526408 
MLA  Abylaeva, E , Omuraliev, A . "Twodimensional parabolic problem with a rapidly oscillating free term". MANAS Journal of Engineering 7 (2019 ): 5259 <https://dergipark.org.tr/tr/pub/mjen/issue/45851/526408> 
Chicago  Abylaeva, E , Omuraliev, A . "Twodimensional parabolic problem with a rapidly oscillating free term". MANAS Journal of Engineering 7 (2019 ): 5259 
RIS  TY  JOUR T1  Twodimensional parabolic problem with a rapidly oscillating free term AU  Ella Abylaeva , Asan Omuraliev Y1  2019 PY  2019 N1  DO  T2  MANAS Journal of Engineering JF  Journal JO  JOR SP  52 EP  59 VL  7 IS  1 SN  1694739816947398 M3  UR  Y2  2019 ER  
EndNote  %0 MANAS Journal of Engineering Twodimensional parabolic problem with a rapidly oscillating free term %A Ella Abylaeva , Asan Omuraliev %T Twodimensional parabolic problem with a rapidly oscillating free term %D 2019 %J MANAS Journal of Engineering %P 1694739816947398 %V 7 %N 1 %R %U 
ISNAD  Abylaeva, Ella , Omuraliev, Asan . "Twodimensional parabolic problem with a rapidly oscillating free term". MANAS Journal of Engineering 7 / 1 (Haziran 2019): 5259 . 
AMA  Abylaeva E , Omuraliev A . Twodimensional parabolic problem with a rapidly oscillating free term. MJEN. 2019; 7(1): 5259. 
Vancouver  Abylaeva E , Omuraliev A . Twodimensional parabolic problem with a rapidly oscillating free term. MANAS Journal of Engineering. 2019; 7(1): 5952. 