Exact boundary controllability of the linear advection equation

被引：2

作者：

Rajaram, Rajeev ^{[1
]}

机构：

[1] Kent State Univ, Dept Math Sci, Ashtabula, OH 44004 USA

来源：

APPLICABLE ANALYSIS | 2009年 / 88卷 / 01期

关键词：

exact controllability; transport equation; advection equation; TRANSPORT-EQUATION; WAVE-EQUATION; STABILITY;

D O I：

10.1080/00036810802713842

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An exact controllability result for the linear advection equation in the space [image omitted] is proved for sufficiently large time T 0, where X is a compact set with [image omitted] and [image omitted] as the smooth and disjoint inflow and outflow boundaries, respectively. The advection is governed by a smooth vector field [image omitted] giving rise to dynamics which advects material from i to o in time T0.

引用

页码：121 / 129

页数：9

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