Beta
325486

On the existence of global strong solutions to 1D bilayer shallow water model

Article

Last updated: 29 Dec 2024

Subjects

-

Tags

-

Abstract

Our study focuses on 1D viscous bilayers shallow water model. The model considered is represented by two superposed immiscible fluids with different physical properties. Each layer is governed by the shallow water equations in one dimension. A regularized model of the considered model has been the subject of some recent studies. Endeed, to do this, the authors considered an approximate model ( by introducing a parameter epsilon ) for which they prove the existence of global strong solutions. But note that when repsilon tends towards 0, they obtain the existence of strong solution of the stationary model. Our contribution is to extend the results of the work carried out in [Nonlinear Analysis, vol (14)2, 1216-1124, (2013)] by proving the existence of global strong solutions of the considered model. The key point of this proof is based on an estimate of a new entropy called '' mathematical BD entropy" which gives additional regularities. Also, we follow the approach used ba the autheurs in [Math Nachr. 291 (14-15), 2183-2203, (2018)] to be able the limit water heigh.

DOI

10.21608/ejmaa.2023.193654.1006

Keywords

shallow water equations, bilayer model, viscous

Authors

First Name

ROAMBA

Last Name

Brahima

MiddleName

-

Affiliation

Institut Universitaire de Technologie, Université Nazi Boni, Bobo-Dioulasso, Burkina Faso.

Email

braroamba@gmail.com

City

-

Orcid

-

First Name

ZONGO

Last Name

Julien

MiddleName

-

Affiliation

UFR/SEA, Université Nazi Boni, Bobo-Dioulasso, Burhina Faso.

Email

zjulino@gmail.com

City

-

Orcid

-

First Name

BAMOGO

Last Name

Mohamed Bassirou

MiddleName

-

Affiliation

UFR/SEA, Université Nazi Boni, Bobo-Dioulasso, Burkina Faso.

Email

bachirbamos22@gmail.com

City

-

Orcid

-

First Name

ZONGO

Last Name

Yacouba

MiddleName

-

Affiliation

EPO, Université Ouaga 2S, Ouagadougou, Burkina Faso

Email

yaczehn10@gmail.com

City

-

Orcid

-

First Name

ZABSONRE

Last Name

Jean de Dieu

MiddleName

-

Affiliation

UFR/SEA, Université Nazi boni, Bobo-Dioulasso, Burkina Faso

Email

jzabsonre@gmail.com

City

-

Orcid

-

Volume

12

Article Issue

1

Related Issue

40409

Issue Date

2024-01-01

Receive Date

2023-02-13

Publish Date

2024-01-01

Page Start

1

Page End

12

Print ISSN

3009-6731

Online ISSN

2090-729X

Link

https://ejmaa.journals.ekb.eg/article_325486.html

Detail API

https://ejmaa.journals.ekb.eg/service?article_code=325486

Order

325,486

Type

Regular research papers

Type Code

2,651

Publication Type

Journal

Publication Title

Electronic Journal of Mathematical Analysis and Applications

Publication Link

https://ejmaa.journals.ekb.eg/

MainTitle

On the existence of global strong solutions to 1D bilayer shallow water model

Details

Type

Article

Created At

18 Dec 2024