Cascade of phases in turbulent flows

The mild formulation together with the local Leray energy inequality has been as well a key tool for extending Leray’s theory of weak solutions in L 2 to the setting of weak

The aim of this section is to show that we can extract from (u ε , p ε ) ε>0 a subsequence that converges to a turbulent solution of the NSE (1.1) (see Definition 2.3), which

An essential feature of the studied scheme is that the (discrete) kinetic energy remains controlled. We show the compactness of approximate sequences of solutions thanks to a

In order to prove the above existence and uniqueness results for (IN S ) supplemented with data satisfying just (1.8), the main difficulty is to propagate enough regularity for

In this paper, we investigate the time decay behavior to Lions weak solution of 2D incompressible density-dependent Navier-Stokes equations with variable viscosity..

This decomposition is used to prove that the eigenvalues of the Navier–Stokes operator in the inviscid limit converge precisely to the eigenvalues of the Euler operator beyond

TEMAM, Local existence of C~ solutions of the Euler equations of incompressible perfect fluids, in Proc. TEMAM, Navier-Stokes Equations and Nonlinear Functional Analysis,

The matter is to know if the addition of (well-adjusted) dissipation terms implies the existence of exact solutions (of Navier-Stokes type equations) which coincide with u ε [ (0, .)