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arXiv · 2410.05847

Forward self-similar solutions of the MHD-boussinesq system with newtonian gravitational field

Yifan Yang
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Abstract

This paper is concerned with the existence of forward self-similar solutions to the three-dimensional Magnetohydrodynamic-Boussinesq (MHD-Boussinesq) system with 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.

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Yifan Yang. 2024-10-08. Forward self-similar solutions of the MHD-boussinesq system with newtonian gravitational field. https://arxiv.org/abs/2410.05847

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