Uniform stabilization of 3D Navier-Stokes equations in low regularity Besov spaces with finite dimensional, tangential-like boundary, localized feedback controllers
DOI10.1007/s00205-021-01677-wzbMath1468.76022arXiv2011.03825OpenAlexW3175753358MaRDI QIDQ2043047
Buddhika Priyasad, Roberto Triggiani, Irena Lasiecka
Publication date: 22 July 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.03825
linearizationwell-posednessmaximal regularityunique continuation propertyOseen eigenproblemunstable equilibrium solution
Feedback control (93B52) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Flow control and optimization for incompressible viscous fluids (76D55)
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Cites Work
- On energy cascades in the forced 3D Navier-Stokes equations
- The unique continuation property of eigenfunctions to Stokes-Oseen operator is generic with respect to the coefficients
- Frequency localized regularity criteria for the 3D Navier-Stokes equations
- Stabilization of Neumann boundary feedback of parabolic equations: The case of trace in the feedback loop
- Minimal initial data for potential Navier-Stokes singularities
- Stationary Stokes, Oseen and Navier-Stokes equations with singular data
- On the interior regularity of weak solutions of the Navier-Stokes equations
- Unique continuation of boundary over-determined Stokes and Oseen eigenproblems
- Weighted Schauder estimates for evolution Stokes problem
- Feedback boundary stabilization of the three-dimensional incompressible Navier-Stokes equations
- Semigroups of linear operators and applications to partial differential equations
- Domains of fractional powers of the Stokes operator in \(L_ r\) spaces
- Boundary feedback stabilizability of parabolic equations
- Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
- On the stabilizability problem in Banach space
- Estimates for solutions of nonstationary Navier-Stokes equations
- On the solvability of boundary and initial-boundary value problems for the Navier-Stokes system in domains with noncompact boundaries
- Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
- Backward uniqueness for parabolic equations
- Stabilization for the 3D Navier-Stokes system by feedback boundary control.
- On the strong solvability of the Navier-Stokes equations
- Maximal \(L^p\) regularity for elliptic equations with unbounded coefficients
- Controllability and stabilization of parabolic equations
- Null controllability of the incompressible Stokes equations in a 2-D channel using normal boundary control
- Certain questions of feedback stabilization for Navier-Stokes equations
- Stabilization of Navier-Stokes flows.
- Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls
- Resolvent estimates in \(L ^{p }\) for the Stokes operator in Lipschitz domains
- Stabilization to an equilibrium of the Navier-Stokes equations with tangential action of feedback controllers
- A profile decomposition approach to the \(L^\infty _t(L^{3}_x)\) Navier-Stokes regularity criterion
- Abstract settings for tangential boundary stabilization of Navier--Stokes equations by high- and low-gain feedback controllers.
- Maximal regularity for the Stokes system on noncylindrical space-time domains
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- Analysis in Banach Spaces
- Minimal $L^3$-Initial Data for Potential Navier--Stokes Singularities
- New Maximal Regularity Results for the Heat Equation in Exterior Domains, and Applications
- Solutions to a Free Boundary Problem of Fluid-Structure Interaction
- Stabilization of Parabolic Nonlinear Systems with Finite Dimensional Feedback or Dynamical Controllers: Application to the Navier–Stokes System
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Traces of Besov and Triebel‐Lizorkin spaces on domains
- Uniform Stabilization with Arbitrary Decay Rates of the Oseen Equation by Finite-Dimensional Tangential Localized Interior and Boundary Controls
- Critical functional framework and maximal regularity in action on systems of incompressible flows
- Linear independence of boundary traces of eigenfunctions of elliptic and Stokes operators and applications
- Determination of the Solutions of the Navier-Stokes Equations by a Set of Nodal Values
- Elliptic boundary value problems in unbounded domains with noncompact and nonsmooth boundaries
- Stability enhancement by boundary control in 2-D channel flow
- Maximal regularity for parabolic equations with inhomogeneous boundary conditions in Sobolev spaces with mixed $L_p$-norm
- Prolongement Unique Des Solutions
- $L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids
- Tangential boundary stabilization of Navier-Stokes equations
- Estimates of the solutions of a nonstationary linearized system of Navier-Stokes equations
- Internal stabilization of Navier-Stokes equations with finite-dimensional controllers
- Mathematical control theory: an introduction
- Stabilizability of two-dimensional Navier-Stokes equations with help of a boundary feedback control
- Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem
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