Journal of Mathematical Analysis and Applications· 2026Q1
Forward self-similar solutions to the MHD-Boussinesq system with Newtonian gravitational field
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- Q1SCImago
- 2026year
Short summary
Researchers constructed a forward self-similar solution to the 3D MHD-Boussinesq system with Newtonian gravity using blow-up and Leray-Schauder arguments, without needing small initial values.
AI-generated from the title and abstract; the full text is not read.
Key points
- Existence of forward self-similar solutions to the 3D MHD-Boussinesq system with Newtonian gravity is proven.
- The construction utilizes a blow-up argument.
- The Leray-Schauder theorem is employed in the proof.
- No smallness assumptions on the self-similar initial value are imposed.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Journal of Mathematical Analysis and Applications, 2026 · DOI ↗
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Field: Applied Mathematics
Applied MathematicsMathematics