Analysis and profiles of travelling wave solutions to a Darcy-Forchheimer fluid formulated with a non-linear diffusion.
dc.contributor.author | Rahman, S. | |
dc.contributor.author | Díaz Palencia, José Luis | |
dc.contributor.author | Roa González, J. | |
dc.date.accessioned | 2023-02-14T12:54:38Z | |
dc.date.available | 2023-02-14T12:54:38Z | |
dc.date.issued | 2022 | |
dc.description.abstract | The intention along the presented analysis is to explore existence, uniqueness, regularity of solutions and travelling waves profiles to a Darcy-Forchheimer fluid flow formulated with a non-linear di usion. Such formulation is the main novelty of the present study and requires the introduction of an appropriate mathematical treatment to deal with the introduced degenerate di usivity. Firstly, the analysis on existence, regularity and uniqueness is shown upon definition of an appropriate test function. Afterwards, the problem is formulated within the travelling wave domain and analyzed close the critical points with the Geometric Perturbation Theory. Based on this theory, exact and asymptotic travelling wave profiles are obtained. In addition, the Geometric Perturbation Theory is used to provide evidences of the normal hyperbolicity in the involved manifolds that are used to get the associated travelling wave solutions. The main finding, which is not trivial in the non-linear di usion case, is related with the existence of an exponential profile along the travelling frame. Eventually, a numerical exercise is introduced to validate the analytical solutions obtained. | spa |
dc.description.extent | 353 KB | spa |
dc.identifier.doi | 10.3934/math.2022383 | spa |
dc.identifier.issn | 2473-6988 | spa |
dc.identifier.uri | https://hdl.handle.net/10641/3261 | |
dc.language.iso | eng | spa |
dc.publisher | AIMS Mathematics | spa |
dc.relation.publisherversion | https://www.aimspress.com/article/doi/10.3934/math.2022383 | spa |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
dc.rights.accessRights | open access | spa |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.subject | Existence | spa |
dc.subject | Uniqueness | spa |
dc.subject | Asymptotic | spa |
dc.subject | Travelling waves | spa |
dc.subject | Geometric Perturbation Theory | spa |
dc.subject | Porous media equation | spa |
dc.subject | Darcy-Forchheimer | spa |
dc.title | Analysis and profiles of travelling wave solutions to a Darcy-Forchheimer fluid formulated with a non-linear diffusion. | spa |
dc.type | journal article | spa |
dc.type.hasVersion | AM | spa |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | a3c3b895-8a49-405d-b335-5431dbd9a868 | |
relation.isAuthorOfPublication.latestForDiscovery | a3c3b895-8a49-405d-b335-5431dbd9a868 |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- 10.3934_math.2022383.pdf
- Size:
- 352.99 KB
- Format:
- Adobe Portable Document Format
- Description: