![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
An exact controllability result for the linear advection equation in the space is proved for sufficiently large time T > 0, where X is a compact set with
and
as the smooth and disjoint inflow and outflow boundaries, respectively. The advection is governed by a smooth vector field
giving rise to dynamics which advects material from Γ
i
to Γ
o
in time T
0.
AMS Subject Classifications::
Acknowledgements
R. Rajaram wishes to thank Umesh Vaidya and Makan Fardad for their suggestions in writing this article.