Work

Time‐periodic solutions to heated ferrofluid flow models

Year: 2024

Type: article

Abstract: In this work, we prove the existence of time‐periodic solutions to a model describing a ferrofluid flow heated from below. Navier–Stokes equations satisfied by the fluid velocity are coupled to the temperature equation and the magnetostatic equation satisfied by the magnetic potential. The magnetization is assumed to be parallel to the magnetic field and is given by a nonlinear magnetization law generalizing the Langevin law. The proof is based on a semi‐Galerkin approximation and regularization methods together with the fixed point method.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.12990

Authors: Kamel Hamdache, Djamila Hamroun, Basma Jaffal‐Mourtada

Institutions: Pôle Léonard de Vinci, University of Sciences and Technology Houari Boumediene

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4402658264

FWCI:

Cites: 17

Cited by:

Related to: 10