On boundary value problems for the Boussinesq-type equation with dynamic and non-dynamic boundary conditions

Author:

JENALİYEV Muvasharkhan1ORCID,KASSYMBEKOVA Arnay1ORCID,YERGALİYEV Madi1ORCID,ORYNBASAR Bekzat1ORCID

Affiliation:

1. Institute of Mathematics and Mathematical Modeling

Abstract

The work studies boundary value problems with non-dynamic and dynamic boundary conditions for one- and two-dimensional Boussinesq-type equations in domains representing a trapezoid, triangle, "curvilinear" trapezoid, "curvilinear" triangle, truncated cone, cone, truncated "curvilinear" cone, and "curvilinear" cone. Combining the methods of the theory of monotone operators and a priori estimates, in Sobolev classes, we have established theorems on the unique weak solvability of the boundary value problems under study.

Funder

the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Analysis

Reference24 articles.

1. [1] H. P. McKean, Boussinesq’s Equation on the Circle, Commun. Pure. Appl. Math. 27 (1981), 599–691.

2. [2] Z. Y. Yan, F.D. Xie, H.Q. Zhang, Symmetry Reductions, Integrability and Solitary Wave Solutions to Higher-Order Modified Boussinesq Equations with Damping Term, Commun. Theor. Phys. 36 (2001), 1–6.

3. [3] V. F. Baklanovskaya, A. N. Gaipova, On a two-dimensional problem of nonlinear filtration, Zh. Vychisl. Math. i Math. Phiz., 6 (1966), 237–241 (in Russian).

4. [4] J. L. Vazquez, The Porous Medium Equation. Mathematical Theory, Oxford University Press, Oxford (2007). XXII+625p.

5. [5] P. Ya. Polubarinova-Kochina, On a nonlinear differential equation encountered in the theory of infiltration, Dokl. Akad. Nauk SSSR, 63 (1948), 623–627.

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the spectral problem for three-dimesional bi-Laplacian in the unit sphere;BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS;2024-06-28

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3