Local null controllability of a rigid body moving into a Boussinesq flow

have proved the null controllability of the two-dimensional Navier-Stokes equa- tions in a manifold without boundary... We conjecture that similar results hold true for

Another result concerning the local exact controllability of the Navier-Stokes system with Navier slip boundary conditions was studied in [12].. Let us define the concepts

On the other hand, in pioneering works [3–5] Coron proved the global approximate controllability for the 2-D Euler equations and the 2-D Navier- Stokes equations with slip

However in all these approaches [12, 9, 29, 30], the pair (A, C) is completely detectable, and the feedback control laws determined in [6, 12], in the case of an internal control,

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

In this article, we show a local exact boundary controllability result for the 1d isentropic compressible Navier Stokes equations around a smooth target trajectory.. Our

• Section 7 is devoted to the proof of Theorem 6 which states that the non- linear boundary condition under study is satisfied, in a weak sense, by the solution to the weak

In this brief note, an effective second order finite difference method and the Keller box method are adopted to solve the system of coupled, highly nonlinear differential