Global existence and long-time asymptotics for rotating fluids in a 3D layer

Combining the weighted energy and enstrophy estimates of Section 4 with the results of Section 3, we prove in Section 5 the first two assertions of Theorem 1.2, namely the uniform

As in [1, 3] we shall use the effect of the Coriolis force to prove global existence of solutions for large initial data, but the long- time asymptotics of those solutions turn out

As we mentioned before, if we only look for a short time solution, the fully explicit scheme for the nonlinear convection term may be analyzed accordingly as well.. Moreover,

initial and boundary value problem for viscous incompressible nonhomogeneous fluids, J. 2014 An existence theorem for compressible viscous and heat. conducting fluids,

Keywords: Navier–Stokes equations; Uniqueness; Weak solution; Fourier localization; Losing derivative estimates.. In three dimensions, however, the question of regularity and

In this paper, we establish a small time large deviation principle (small time asymptotics) for the two-dimensional stochastic Navier–Stokes equations driven by multiplicative

P ILECKAS , Note on the flux problem for stationary incompressible Navier-Stokes equations in domains with a multiply connected boundary, Acta Appl.. S HEN , Estimates for the

— 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 ^