Approximate conditions replacing thin layers

In this paper, we would like to establish rigorous stabilization results for the Boussinesq system, around a stationary solution, by feedback controls of finite dimension,

We consider optimized ABCs adapted to arbitrarily-shaped regular boundaries and we construct a transparent condition based on the decomposition of the exact solution into a

This paper focuses on the boundary approximate controllability of two classes of linear parabolic systems, namely a system of n heat equations coupled through constant terms and a 2 ×

Stokes operator, Neumann boundary conditions, Lipschitz domains, domain of fractional power, regularity, Sobolev spaces, Navier-Stokes

With this in mind given that one wants to analyze physical problems of the scattering of sound from a transmissive layer that suffers a change in the physical quantities of

The considered Schr¨odinger operator has a quadratic potential which is degenerate in the sense that it reaches its minimum all along a line which makes the angle θ with the boundary

We study a new class of ergodic backward stochastic differential equations (EBSDEs for short) which is linked with semi-linear Neumann type boundary value problems related to

Actually, in Section IV, it will be shown that in the presence of a moderate white noise added to the Sivashinsky equation, the solution is much more often close to the most