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arXiv · 2311.01093

Large self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field

Lorenzo Brandolese·Grzegorz Karch
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Abstract

The Navier-Stokes system for an incompressible fluid coupled with the equation for a heat transfer is considered in the whole three dimensional space. This system is invariant under a suitable scaling. Using the Leray-Schauder theorem and compactness arguments, we construct self-similar solutions to this system without any smallness assumptions imposed on homogeneous initial conditions.

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Lorenzo Brandolese, Grzegorz Karch. 2023-11-02. Large self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field. https://arxiv.org/abs/2311.01093

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