NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK

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,

NIRENBERG, Partial regularity of suitable weak solutions of the Navier-Stokes equations. FRASCA, Morrey spaces and Hardy-Littlewood maximal

— We proved in Section 2 of [7] a local existence and uniqueness theorem (Theorem 2.2) for solutions of the Navier- Stokes equations with initial data in a space 7-^1 ^2,<5s ^

By using this approach, Garreau, Guillaume, Masmoudi and Sid Idris have obtained the topological asymptotic expression for the linear elasticity [9], the Poisson [10] and the

In this paper, in order to approximate the solution of discretized problem (10, 11), we use the Galerkin method for the momentum and continuity equations which allows to circumvent

The aim of this work is to present some strategies to solve numerically controllability problems for the two-dimensional heat equation, the Stokes equations and the

DERIVATIVE ESTIMATES FOR THE NAVIER--STOKES EQUATIONS 207 where now the omitted lower order derivative terms may contain terms with coeffi- cients differentiated