Exact boundary controllability of Galerkin approximations of Navier-Stokes system for soret convection

An International Journal of Optimization and Control: Theories & Applications

article

Sivaguru S. Ravindran¹ 

[1] University of Alabama in Huntsville

关键词: Exact boundary controllability;    Galerkin approximation;    doubly diffusive convection with Soret effect;   

DOI  :  10.11121/ijocta.01.2015.00253

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

We study the exact controllability of finite dimensional Galerkin approximation of a Navier-Stokes type system describing doubly diffusive convection with Soret effect in a bounded smooth domain in Rd (d = 2, 3) with controls on the boundary. The doubly diffusive convection system with Soret effect involves a difficult coupling through second order terms. The Galerkin approximations are introduced undercertain assumptions on the Galerkin basis related to the linear independence of suitable traces of its elements over the boundary. By Using Hilbert uniqueness method in combination with a fixed point argument, we prove that the finite dimensional Galerkin approximations are exactly controllable.

【 授权许可】

CC BY