Time Periodic Solutions of the Navier–Stokes Equations with Nonzero Constant Boundary Conditions at Infinity

Reproductive strong solutions of Navier-Stokes equa- tions with non homogeneous boundary conditions... hal-00142028, version 1 - 17

We also study the existence of weak solutions to the three-dimensional instationary Navier–Stokes equations for more regular data, but without any smallness assumption on the

In 1995, Constantin, Foias, Kukavica, and Majda had shown that the 2-D space periodic Navier–Stokes equations have a rich set of the solutions that exist for all times t ∈ R and

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

NISHIDA, The initial boundary value problem for the equa- tions of motion of compressible viscous and heat-conductive fluid, Preprint Uni- versity of Wisconsin,

In Section 2, we prove a few orthogonality results concerning the Navier- Stokes equations with profiles as initial data, which will be used in the proof ofTheorem 2.. Section 3

— 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 ^

Coron has derived rigorously the slip boundary condition (1.3) from the boundary condition at the kinetic level (Boltzmann equation) for compressible uids. Let us also recall that