Gevrey Regularity for a System Coupling the Navier-Stokes System with a Beam: the Non-Flat Case
Author:
Affiliation:
1. Institut de Mathématiques de Toulouse, Université Paul Sabatier, CNRS
2. Institut Élie Cartan de Lorraine
Publisher
Division of Functional Equations, The Mathematical Society of Japan (JST)
Subject
Geometry and Topology,Algebra and Number Theory,Analysis
Link
https://www.jstage.jst.go.jp/article/fesi/65/1/65_63/_pdf
Reference21 articles.
1. [1] Badra, M., Lyapunov function and local feedback boundary stabilization of the Navier-Stokes equations, SIAM J. Control Optim., 48 (2009), 1797-1830.
2. [2] Badra, M. and Takahashi, T., Feedback boundary stabilization of 2D fluid-structure interaction systems, Discrete Contin. Dyn. Syst., 37 (2017), 2315-2373.
3. [3] Badra, M. and Takahashi, T., Gevrey regularity for a system coupling the Navier-Stokes system with a beam equation, SIAM J. Math. Anal., 51 (2019), 4776-4814.
4. [4] Beirão da Veiga, H., On the existence of strong solutions to a coupled fluid-structure evolution problem, J. Math. Fluid Mech., 6 (2004), 21-52.
5. [5] Bensoussan, A., Da Prato, G., Delfour, M. C. and Mitter, S. K., Representation and control of infinite dimensional systems, second edition, Systems & Control: Foundations & Applications, Birkhäuser Boston, Inc., Boston, MA, 2007.
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