Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3313
Abstract
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.
Keywords
Boussinesq equation, existence, classical solution
First Page
2977
Last Page
2997
Recommended Citation
GEORGIEV, SVETLIN; BOUKAROU, AISSA; and ZENNIR, KHALED
(2022)
"Classical solutions for 1-dimensional and 2-dimensional Boussinesq equations,"
Turkish Journal of Mathematics: Vol. 46:
No.
7, Article 27.
https://doi.org/10.55730/1300-0098.3313
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss7/27
