Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609418 | Journal of Differential Equations | 2016 | 15 Pages |
Abstract
We consider the incompressible inhomogeneous Navier–Stokes equations with constant viscosity coefficient and density which is bounded and bounded away from zero. We show that the energy balance relation for this system holds for weak solutions if the velocity, density, and pressure belong to a range of Besov spaces of smoothness 1/3. A density-dependent version of the classical Kármán–Howarth–Monin relation is derived.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
T.M. Leslie, R. Shvydkoy,