Hello folks,
hope all of you are doing well. SysConTalks is an initiative by the Ph.D. students of the Systems and Control group at IIT Bombay. We organize seminars by researchers at the forefront of Academia and the Industry, and our aim is to provide an engaging platform for students such as ourselves to learn from the best minds in the broad areas of systems and control, optimization, and data science. Our next talk will be given by Dr. Arnab Roy, Post Doctoral Fellow
Institute of Mathematics of the Czech Academy of Sciences. We would like to invite the interested participants to join, the details are as follows--
Speaker: Arnab Roy,
Post Doctoral Fellow, Institute of Mathematics of the Czech Academy of Sciences,
Title: Control and Stabilization Aspects of Fluid-structure Interaction Models, Date and time: 9th August, Monday, 1930 Hrs IST( Indian Standard Time),
Meeting link: meet.google.com/quv-mvrw-cyk.
Abstract:
Fluid-structure interaction models come from different domains of application, such as biology (blood motion in arteries, fish swimming, micro-organism motion), engineering (flight, submarine) etc. Despite all their practical applications, the mathematical understanding of such models is very challenging due to the involvement of strong nonlinearities and the presence of free boundaries. In this talk, we discuss the control and stabilization aspects of fluid-structure interaction models. We start with a one-dimensional viscous Burgers-particle system. We discuss the null controllability for the velocity of the fluid and the particle and approximate controllability for the position of the particle with a control acting only on the particle. Next, we consider a viscous, compressible fluid-rigid ball interaction system. The feedback control of the system acts on the ball and corresponds to a force that would be produced by a spring and a damper connecting the centre of the ball to a fixed point $h_1$. We prove the global-in-time existence of strong solutions for the corresponding system under a smallness condition on the initial velocities and on the distance between the initial position of the center of the ball and $h_1$. Then, with our feedback law, the fluid and the structure velocities go to $0$ and that the center of the ball goes to $h_1$ as $t\rightarrow \infty$.
Biography:
Arnab completed my PhD in 2018 from Tata Institute Of Fundamental Research, Bangalore under the guidance of Mythily Ramaswamy. During his Ph.D., thanks to the Indo-French programme, he had visited several times in Institut de Mathématiques de Toulouse where he had worked with Jean Pierre Raymond. Arnab's thesis deals with the existence, controllability and stabilization of fluid and fluid-structure models. More precisely, Arnab worked on Boundary feedback stabilization of the Boussinesq system, null controllability of a fluid-rigid body system, and Local-in-time existence of strong solutions of a 3D fluid-structure model. After that Arnab worked at INRIA-Nancy in 2018-2019 under the mentorship of Takéo Takahashi. In Nancy, he had worked in a wide range from controllability of Burger+particle system, viscoelastic fluid-rigid body model to the existence results of interaction between a compressible viscous fluid and a wave equation.
Currently, Arnab is a postdoc at the Institute of Mathematics, Prague under the supervision of Sarka Nečasová working on the problems of existence and singular limits of fluid-structure interaction.
