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

被引：8

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.

引用

页码：3661 / 3674

页数：14