Studies on Asymptotics of the Solution of Parabolic Problems with Multipoint Stationary Phase| Chapter 3 | Current Approaches in Science and Technology Research Vol. 15

The purpose of this research is to provide regularised asymptotics for the solution of a singly perturbed parabolic problem when the limit operator has no range, the free term oscillates quickly, and the phase derivative vanishes at finite points. When the first derivative of the phase of the free term vanishes, transition layers appear. It is demonstrated that the problem's asymptotic solution contains Boundary-layer functions that are parabolic, inner, corner, and quickly oscillating The product of parabolic boundary layer and boundary layer functions, which have a quickly oscillating nature of the change, describes the first component, while the product of the inner and parabolic boundary layer functions describes the second component.

Author (S) Details

Asan Omuraliev
Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan.

Ella Abylaeva
Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan.

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