MSThD28
Mathematical Theory of System and Control I: control of partial differential equations
Date: August 13
Time: 13:3015:30
Room: 109
(Note: Click title to show the abstract.)
Organizer:
Tang, Shanjian (Fudan Univ.)
Zhang, Xu (Sichuan Univ.)
Abstract: The minisymposium is devoted to optimal control of partial differential equations, in particular of NavierStokes quations. It is one of the series on Mathematical Theory of System and Control.
MSThD281
13:3014:00
Analysis and Control of the Kortwegde Vries equation on a Bounded Domain with Neumann Boundary Conditions
Zhang, Bingyu (Univ. of Cincinnati)
Abstract: In this talk we will consider the the KdV equation posed on a ﬁnite domain with the no homogeneous Neumann boundary conditions. We will ﬁrst show the corresponding initialboundary value problem is wellposed. Then viewing the boundary value functions as control inputs, we show that the system is locally exactly boundary controllable.
MSThD282
14:0014:30
Local stabilization of fluidstructure models
RAYMOND, JeanPierre (Paul Sabatier Toulouse III Univ.)
Abstract: We shall address the problem of stabilizing systems coupling the incompressible NavierStokes equations with the Lam\'e system of linear elasticity. The control is a distributed control acting only in the elasticity equation, localized in a neighborhood of the fluidstructure interface. For regular initial data, small enough, we prove the existence of $L^2$ controls stabilizing the coupled system with an arbitrarily prescribed exponential decay rate. This is a joint work with M. Vanninathan.
MSThD283
14:3015:00
Control of PDE models involving memory terms
Zuazua, Enrique (BCAM & Ikerbasque)
Abstract: We analyse controllability issues for PDE models involving memory terms.
We show that, if the support of the control does not move in time, the memory of the system cannot be controlled. We then prove that, if the control moves covering eventually the whole domain, the memory term is also controllable.
We use a decoupling argument allowing to write the memory PDE as the superposition of the PDE with an ODE or transport equation.
MSThD284
15:0015:30
Random attractor for globally modified nonautonomous 3D NavierStokes equations with memory effects and stochastic perturbations
Chen, Zhang (Shandong Univ.)
LIN, Wei (Fudan Univ.)
Abstract: In this talk, globally modified nonautonomous 3D NavierStokes equations with memory effects and noise perturbations will be discussed. This stochastic equations may produce a infinite dimensional random dynamical system in the space of C_H, and theoretical results show that random attractor for this random dynamical system is upper semicontinuous with respect to noise intensity parameter and modified parameter.
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Footnote: Code: TypeDateTimeRoom No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:309:30, B=10:0011:00, C=11:1012:10, BC=10:0012:10, D=13:3015:30, E=16:0018:00, F=19:0020:00, G=12:1013:30, H=15:3016:00
Room No.: TBA
