Uniform stabilization of Navier-Stokes equations in critical \(L^q\)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls
From MaRDI portal
Publication:2041020
DOI10.1007/s00245-019-09607-9zbMath1468.49039arXiv2202.04190OpenAlexW2974930243MaRDI QIDQ2041020
Buddhika Priyasad, Irena Lasiecka, Roberto Triggiani
Publication date: 15 July 2021
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.04190
Related Items (5)
Stabilization of 3D Navier-Stokes equations to trajectories by finite-dimensional RHC ⋮ Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls ⋮ Unique continuation properties of over-determined static Boussinesq problems with application to uniform stabilization of dynamic Boussinesq systems ⋮ Maximal \(L^p\)-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems ⋮ Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimal initial data for potential Navier-Stokes singularities
- On Oseen resolvent estimates.
- Stationary Stokes, Oseen and Navier-Stokes equations with singular data
- On the interior regularity of weak solutions of the Navier-Stokes equations
- Unique continuation from an arbitrary interior subdomain of the variable-coefficient Oseen equation
- Unique continuation of boundary over-determined Stokes and Oseen eigenproblems
- Weighted Schauder estimates for evolution Stokes problem
- 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
- 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
- On the strong solvability of the 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
- Minimal $L^3$-Initial Data for Potential Navier--Stokes Singularities
- 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
- 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
- $L^{p}$-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
- Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem
- The Stokes resolvent in 3D domains with conical boundary points: nonregularity in \(L^ p\)-spaces.
This page was built for publication: Uniform stabilization of Navier-Stokes equations in critical \(L^q\)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls
