Controllability of a Stokes system with a diffusive boundary condition
نویسندگان
چکیده
We are interested by the controllability of a fluid-structure interaction system where fluid is viscous and incompressible structure elastic located on part boundary domain. In this article, we simplify considering linearization replacing wave/plate equation for heat equation. show that corresponding coupling Stokes equations with at its null-controllable. The proof based Carleman estimates interpolation inequalities. One corresponds to case Ventcel conditions. This work can be seen as first step handle real modeled wave or plate
منابع مشابه
Implementation of a free boundary condition to Navier- Stokes equations
Numerical prediction of flow physics involves the specification of boundary conditions to close the problem. Whether all or part of the boundary needs consideration depends on the nature of the investigated partial differential equations. Taking as an example, closure boundary conditions for Navier-Stokes equations at an incompressible limit take different forms because a time-dependent problem...
متن کاملNvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition
Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...
متن کاملTowards a Transparent Boundary Condition for Compressible Navier–stokes Equations
A new artificial boundary condition for 2D subsonic flows governed by the compressible Navier–Stokes equations is derived. It is based on the hyperbolic part of the equations, according to the way of propagation of the characteristic waves. A reference flow as well as a convection velocity are used to properly discretize the terms corresponding to the entering waves. Numerical tests on various ...
متن کاملLocal Exact Controllability of the Navier--Stokes Equations with the Condition on the Pressure on Parts of the Boundary
Abstract. In this paper we prove a local exact controllability of the Navier–Stokes equations with the condition on the pressure on parts of the boundary. The local exact controllability is proved by using a global Carleman inequality and an estimate of an equation adjoint to a linearized Navier– Stokes equation with the nonstandard boundary condition. We also obtain the null controllability of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2022
ISSN: ['1262-3377', '1292-8119']
DOI: https://doi.org/10.1051/cocv/2022057