Non-autonomous 2D Navier-Stokes system with a simple global attractor and some averaging problems

We define a partition of the set of integers k in the range [1, m−1] prime to m into two or three subsets, where one subset consists of those integers k which are < m/2,

Our proof uses a stochastic representation formula to obtain a decay estimate for heat flows in Hölder spaces, and a stochastic Lagrangian formulation of the Navier–Stokes equations..

By using the theory of Young measures we are able to prove an existence result for a weak solution (u, P ) to (1)–(4) under very mild assumptions on σ (see Theorem 1 below)..

We also perform various experiments to validate our theoret- ical findings. We assess the structure tensor efficiency on syn- thetic and real 2D and 3D images. Its output is compared

Moreover Λ is composed of eigenvalues λ associated with finite dimensional vector eigenspaces.. We assume that A is

We introduce a family of DG methods for (1.1)–(1.3) based on the coupling of a DG approximation to the Vlasov equation (transport equation) with several mixed finite element methods

Finally, in our previous work [3] we proved the existence and uniqueness of strong solutions in the case of an undamped beam equation but for small initial deformations.. The outline

The new scheme is implemented into the code TELEMAC-2D [tel2d, 2014] and several tests are made to verify the scheme ability under an equilibrium state at rest and