Classical solutions for 1-dimensional and 2-dimensional Boussinesq equations

被引：0

作者：

Georgiev, Svetlin ^{[1
]}

Boukarou, Aissa ^{[2
]}

Zennir, Khaled ^{[3
]}

机构：

[1] Univ Sofia, Dept Math, Fac Math & Informat, Sofia, Bulgaria

[2] Univ Ghardaia, Fac Math & Informat, Dept Math, Ghardaia, Algeria

[3] Qassim Univ, Coll Sci & Arts, Dept Math, Ar Rass, Saudi Arabia

来源：

TURKISH JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 07期

关键词：

Boussinesq equation; existence; classical solution; WELL-POSEDNESS;

D O I：

10.55730/1300-0098.3313

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we investigate the IVPs for 1-dimensional and 2-dimensional Boussinesq equations. A new topological approach is applied to prove the existence of at least one classical solution and at least two nonnegative classical solutions for the considered IVPs. The arguments are based upon recent theoretical results.

引用

页码：2977 / 2997

页数：21

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