Inviscid and fast rotation limit for dispersive generalized SQG equations
arXiv:2607.26701
summary
The paper studies how solutions of dissipative generalized surface quasi‑geostrophic (SQG) equations behave when viscosity vanishes, using a relative energy inequality to prove convergence in various dispersive regimes.
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.
9 pages
Topics & keywords
#generalized sqg equations#inviscid limit#fast rotation#dispersive forcing#relative energy methodSQGviscosity limitrelative energy inequalitydispersive regimeactive scalar