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

TL;DR

This paper proves that in two-dimensional forced critical SQG equations, energy dissipation does not occur anomalously, indicating energy conservation under these conditions.

Contribution

It establishes the absence of anomalous energy dissipation for forced critical SQG in two dimensions, a novel theoretical result.

Findings

No anomalous energy dissipation in 2D forced critical SQG

Supports energy conservation in these fluid models

Advances understanding of energy dynamics in fluid equations

Abstract

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