论文标题
可观察性和2D通道中线性可压缩流体结构模型的伴随的独特延续
Observability and unique continuation of the adjoint of a linearized compressible fluid-structure model in a 2d channel
论文作者
论文摘要
我们的目标是研究2D通道中线性化的可压缩流体结构相互作用模型的伴随的可观察性和独特的延续性。关于结构，我们将考虑位于边界一部分的阻尼欧拉 - 伯努利梁。在本文中，我们对正在考虑的线性化流体结构相互作用问题的伴随建立了可观察性不等式，原则上与线性化系统的无效可控性相等。作为派生可观察性不平等的必然性，我们还为伴随问题获得了独特的延续性。
Our objective is to study the observability and unique continuation property of the adjoint of a linearized compressible fluid structure interaction model in a 2D channel. Concerning the structure we will consider a damped Euler-Bernoulli beam located on a portion of the boundary. In the present article we establish an observability inequality for the adjoint of the linearized fluid structure interaction problem under consideration which in principle is equivalent with the null controllability of the linearized system. As a corollary of the derived observability inequality we also obtain a unique continuation property for the adjoint problem.
