Absence of Anomalous Dissipation of Energy in Forced Two Dimensional Fluid Equations

Peter Constantin; Andrei Tarfulea; Vlad Vicol

doi:10.1007/s00205-013-0708-7

Absence of Anomalous Dissipation of Energy in Forced Two Dimensional Fluid Equations

Peter Constantin
, Andrei Tarfulea
, Vlad Vicol

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

We prove the absence of anomalous dissipation of energy for long time averaged solutions of the forced critical surface quasi-geostrophic equation in two spatial dimensions.

Original language	English (US)
Pages (from-to)	875-903
Number of pages	29
Journal	Archive for Rational Mechanics and Analysis
Volume	212
Issue number	3
DOIs	https://doi.org/10.1007/s00205-013-0708-7
State	Published - Jun 2014

All Science Journal Classification (ASJC) codes

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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title = "Absence of Anomalous Dissipation of Energy in Forced Two Dimensional Fluid Equations",

abstract = "We prove the absence of anomalous dissipation of energy for long time averaged solutions of the forced critical surface quasi-geostrophic equation in two spatial dimensions.",

author = "Peter Constantin and Andrei Tarfulea and Vlad Vicol",

year = "2014",

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AU - Tarfulea, Andrei

AU - Vicol, Vlad

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N2 - We prove the absence of anomalous dissipation of energy for long time averaged solutions of the forced critical surface quasi-geostrophic equation in two spatial dimensions.

AB - We prove the absence of anomalous dissipation of energy for long time averaged solutions of the forced critical surface quasi-geostrophic equation in two spatial dimensions.

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Absence of Anomalous Dissipation of Energy in Forced Two Dimensional Fluid Equations

Abstract

All Science Journal Classification (ASJC) codes

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