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arXiv · 2606.15347

A variational problem for the maximization of energy dissipation during turbulent fluid mixing in Boussinesq approximation

József J. Kolumbán·Marietta Oroszki
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Abstract

We study the Boussinesq approximation of the Rayleigh-Taylor instability with local energy inequality, within the convex integration plus variational selection criterion framework of arXiv:2505.03278. We show that, under an appropriate rescaling, the energy dissipation functionals obtained in said paper $\Gamma$-converge, and that their limit has a unique maximizer, corresponding to the profile also obtained in arXiv:2008.08853.

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József J. Kolumbán, Marietta Oroszki. 2026-06-13. A variational problem for the maximization of energy dissipation during turbulent fluid mixing in Boussinesq approximation. https://arxiv.org/abs/2606.15347

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