Absence of anomalous dissipation of energy in forced two dimensional fluid equations

Abstract

We prove absence of anomalous dissipation of energy for forced critical SQG in two space dimensions.

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Cited by in corpus (11)

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• Uniformly attracting limit sets for the critically dissipative SQG equation
• Determining modes for the surface Quasi-Geostrophic equation
• Global weak solutions for generalized SQG in bounded domains
• The existence of a global attractor for the forced critical surface quasi-geostrophic equation in $L^2$
• Stability of Solutions to the Quasi-Geostrophic Equations in ${\mathbb{R}}^2$
• Sufficient conditions for dual cascade flux laws in the stochastic 2d Navier-Stokes equations
• On the forced surface quasi-geostrophic equation: Existence of steady states and sharp relaxation rates
• Solutions to a class of forced drift-diffusion equations with applications to the magneto-geostrophic equations
• On a class of forced active scalar equations with small diffusive parameters
• The importance of Luis Caffarelli's work in the study of fluids