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Forward self-similar solutions to the MHD-Boussinesq system with Newtonian gravitational field

Year: 2026

Type: article

Abstract: This paper is concerned with the existence of forward self-similar solutions to the three-dimensional Magnetohydrodynamic-Boussinesq (MHD-Boussinesq) system with a Newtonian gravitational field. By employing a blow-up argument and the Leray-Schauder theorem, we construct a forward self-similar solution to this system without imposing any smallness assumptions on the self-similar initial value.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2026.131136

Author: Yifan Yang

Institution: Xi'an Jiaotong University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W4403347088

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