On the Energy Equality for Weak Solutions of the 3D Navier-Stokes Equations

Alexey Cheskidov (), Susan Friedlander () and Roman Shvydkoy ()
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Alexey Cheskidov: University of Chicago, Department of Mathematics
Susan Friedlander: University of Illinois, Department of Mathematics, Statistics and Computer Science
Roman Shvydkoy: University of Illinois, Department of Mathematics, Statistics and Computer Science

A chapter in Advances in Mathematical Fluid Mechanics, 2010, pp 171-175 from Springer

Abstract: Abstract We prove that the energy equality holds for weak solutions of the Navier-Stokes equations in the functional class L 3([0, T);D(A 5/12)), where D(A 5/12) is the domain of the fractional power of the Stokes operator.

Keywords: Navier-Stokes equations; Weak solutions; Energy equality (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-04068-9_10

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DOI: 10.1007/978-3-642-04068-9_10

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