On the Null Asymptotic Stabilization of the Two-Dimensional Incompressible Euler Equations in a Simply Connected Domain
From MaRDI portal
Publication:4699152
DOI10.1137/S036301299834140XzbMath0954.76010MaRDI QIDQ4699152
Publication date: 23 November 1999
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
asymptotic stabilizationincompressible inviscid fluidbounded domaintwo-dimensional Euler equationfeedback lawsnull global asymptotic stabilizability
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Stabilization of systems by feedback (93D15) Flow control and optimization for incompressible inviscid fluids (76B75)
Related Items
On the nonlocal stabilization by starting control of the normal equation generated from the Helmholtz system ⋮ On an estimate connected with the stabilization of a normal parabolic equation by start control ⋮ Exact controllability in projections for three-dimensional Navier-Stokes equations ⋮ Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid ⋮ Approximate controllability of three-dimensional Navier-Stokes equations ⋮ Nonlocal stabilization by starting control of the normal equation generated by Helmholtz system ⋮ Implicit Lyapunov control of finite dimensional Schrödinger equations ⋮ On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid ⋮ Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions ⋮ Stability analysis of coupled linear ODE-hyperbolic PDE systems with two time scales ⋮ Global Feedback Stabilization for a Class of Nonlocal Transport Equations: The Continuous and Discrete Case ⋮ Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions ⋮ On the controllability of entropy solutions of scalar conservation laws at a junction via Lyapunov methods ⋮ The discretized backstepping method: an application to a general system of \(2\times 2\) linear balance laws ⋮ Uniqueness of Yudovich's solutions to the 2D incompressible Euler equation despite the presence of sources and sinks ⋮ Normal feedback stabilization of periodic flows in a two-dimensional channel ⋮ On state feedback control of a class of nonlinear PDE systems in finite dimension ⋮ Small-time local stabilization for a Korteweg-de Vries equation ⋮ ISS-Lyapunov functions for time-varying hyperbolic systems of balance laws ⋮ Existence of solutions for the two-dimensional stationary Euler system for ideal fluids with arbitrary force. ⋮ Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws ⋮ On the ``viscous incompressible fluid + rigid body system with Navier conditions ⋮ Stabilization of the 2D incompressible Euler system in an infinite strip ⋮ Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions ⋮ Boundary Exponential Stabilization of 1-Dimensional Inhomogeneous Quasi-Linear Hyperbolic Systems ⋮ Stabilization of the simplest normal parabolic equation ⋮ Controllability and asymptotic stabilization of the Camassa-Holm equation ⋮ Existence of pulsating roll-waves for the Saint-Venant system ⋮ Initial boundary value problem and asymptotic stabilization of the Camassa-Holm equation on an interval ⋮ Controllability and stabilization of a conservation law modeling a highly re-entrant manufacturing system ⋮ Feedback stabilization of Navier–Stokes equations ⋮ Stability of the cell dynamics in acute myeloid leukemia ⋮ Small-time global stabilization of the viscous Burgers equation with three scalar controls ⋮ Lyapunov control of a quantum particle in a decaying potential ⋮ Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model ⋮ One method for the nonlocal stabilization of a Burgers-type equation by an impulse control ⋮ Stabilization of the incompressible 2D Euler equations in a simply connected domain utilizing the Lorentz force