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

Published 21 Sep 2024 in math.AP | (2409.14007v1)

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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