Large Discretely Self-Similar Solutions to Oberbeck-Boussinesq System with Newtonian Gravitational Field

Tai-Peng Tsai

doi:10.1619/fesi.69.101

著者情報

キーワード: Oberbeck-Boussinesq system, Navier-Stokes equations, Self-similar solutions, Discretely self-similar solutions, Similarity variable, Revised profile

ジャーナル認証あり

2026 年 69 巻 1 号 p. 101-118

DOI https://doi.org/10.1619/fesi.69.101

詳細

抄録

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 on self-similar solutions. It follows the approach of Bradshaw and Tsai and finds an explicit a priori bound for the deviation from suitably revised profiles in similarity variables.

責任著者(Corresponding author)

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