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

被引：6
|
作者：
Jenaliyev, M. T. [1 ]
Assetov, A. A. [2 ]
Yergaliyev, M. G. [3 ]
机构：
[1] Inst Math & Math Modeling, Alma Ata, Kazakhstan
[2] YeA Buketov Karaganda Univ, Karaganda, Kazakhstan
[3] Al Farabi Kazakh Natl Univ, Dept Mech & Math, Alma Ata, Kazakhstan
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 15期
关键词：
Burgers equation; degenerating domain; dynamic boundary condition; a priori estimate;
D O I：
10.1134/S199508022203012X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the well-posedness of the boundary value problem for the Burgers equation with dynamic boundary conditions is studied in Sobolev spaces with a degenerating domain.
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页码：3661 / 3674
页数：14
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