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arXiv · 2607.26701

Inviscid and fast rotation limit for dispersive generalized SQG equations

Anuj Kumar·Sweety·Mohit Yadav
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Abstract

We consider the dissipative generalized surface quasi-geostrophic equations with a dispersive forcing term and study the behavior of solutions in the limit of vanishing viscosity. Using the approach of relative energy inequality, we prove convergence results in different dispersive regimes that extend the results obtained by Kosloff et al. (Appl. Math. Lett. (2019) 88 243-249) to more singular active scalar equations.

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Anuj Kumar, Sweety, Mohit Yadav. 2026-07-29. Inviscid and fast rotation limit for dispersive generalized SQG equations. https://arxiv.org/abs/2607.26701

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