On the Solvability of the Burgers Equation with Dynamic Boundary Conditions in a Degenerating Domain


Jenaliyev M.T. Assetov A.A. Yergaliyev M.G.
December 2021Pleiades journals

Lobachevskii Journal of Mathematics
2021#42Issue 153661 - 3674 pp.

Abstract: In this article, the well-posedness of the boundary value problemfor the Burgers equation with dynamic boundary conditions isstudied in Sobolev spaces with a degenerating domain.

a priori estimate , Burgers equation , degenerating domain , dynamic boundary condition

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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Ye.A. Buketov Karaganda University, Karaganda, Kazakhstan
Department of Mechanics and Mathematics, Al-Farabi Kazakh National University, Almaty, Kazakhstan

Institute of Mathematics and Mathematical Modeling
Ye.A. Buketov Karaganda University
Department of Mechanics and Mathematics

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