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arXiv · 2409.14007

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

Tai-Peng Tsai
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Abstract

Discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field for large discretely self-similar initial data are constructed in this note, extending the construction of Brandolese and Karch (arXiv:2311.01093) on self-similar solutions. It follows the approach of Bradshaw and Tsai (Ann.~Henri Poincar\'e 2017) and find an explicit a priori bound for the deviation from suitably revised profiles in similarity variables.

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Tai-Peng Tsai. 2024-09-21. Large discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field. https://arxiv.org/abs/2409.14007

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