2024 Controllability of parabolic equations

Controllability of parabolic equations

Author: huxg

August undefined, 2024

WebOct 1, 2010 · Abstract. This paper is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled one-dimensional parabolic equations are considered. We show that, in this framework, boundary controllability is not equivalent and is more complex than distributed controllability. WebJul 31, 2015 · We prove null controllability for linear and semilinear heat equations with dynamic boundary conditions of surface diffusion type. The results are based on a new Carleman estimate for this type of boundary conditions. observability estimate. Mathematics Subject Classification: Primary: 93B05; Secondary: 35K20, 93B07.

Stackelberg–Nash Controllability for N-Dimensional Nonlinear Parabolic …

WebFeb 15, 2011 · Keywords: Stochastic heat equation; Null controllability; Approximate controllability This work is partially supported by National Basic Research Program of China (973 Program) under grant 2011CB808000 and the NSF of China under grants 10831007 and 60974035. ... Null controllability for parabolic equation with a complex … WebOct 14, 2024 · Controllability of Parabolic Equations 1 Introduction and Setting. Let Ω be a smooth bounded connected open set of {\mathbb {R}}^d in the sense recalled in... 2 Exact Controllability for a Parabolic Equation. We consider here the case of a control acting … trey freeze photography

On the Controllability of a Class of Degenerate Parabolic Equations ...

WebDownload or read book Controllability and Stabilization of Parabolic Equations written by Viorel Barbu and published by Springer. This book was released on 2024-04-26 with … WebWe consider linear one-dimensional parabolic equations with space dependent coefficients that are only measurable and that may be degenerate or singular. Considering generalized Robin--Neumann boundary conditions at both extremities, we prove the null controllability with one boundary control by following the flatness approach, which provides explicitly … tennessee certificate of title automobile

On the Controllability of Parabolic Systems with a Nonlinear Term ...

Stackelberg-Nash Controllability for a Quasi-linear Parabolic Equation ...

WebWe prove the interior null-controllability of one-dimensional parabolic equations with time independent measurable coefficients. ... Escauriaza, Luis AU - Alessandrini, Giovanni TI - Null-controllability of one-dimensional parabolic equations JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2008 SP - 284 EP - 293 VL - 14 IS - 2 ... WebABSTRACT. Abstract This paper surveys the authors’ and their collaborators’ works on the attempt to unify the controllability theory of parabolic and hyperbolic equations. First of all, we show that the observability inequalities of the dual systems for those two types of equations of a different nature may be derived by means of a global ... trey freeman old dominionWebJun 30, 1995 · Abstract This paper studies two problems of exact controllability of semilinear parabolic equations. In the first, the control is on the right-hand side of the … tennessee certificate of trust

"WebWe present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) in a bounded domain of ${\\mathbb R}^N$ with … " - Controllability of parabolic equations

Controllability of parabolic equations

CONTROLLABILITY FOR THE PARABOLIC EQUATIONS

WebAbstractThis paper deals with the application of Stackelberg–Nash strategies for the controllability of parabolic partial differential equations, with nonlinear diffusion terms in the spatial variable with dimension N (here N is an any positive integer). ... WebMar 8, 2024 · In that work, the controllability of coupled fractional parabolic systems with one control force is addressed and under the assumptions on the coefficients b_i and the …

Did you know?

WebFinite-Dimensional Approximate Controllability for a Nonlocal Parabolic Problem Silvano B. de Menezes1 Instituto de Matem´atica - UFPA Universidade Federal do Par´a 66075 … WebMay 7, 2024 · Starting from foundational questions on Carleman inequalities for linear parabolic equations, the author addresses the controllability …

WebIn this paper, we study the null controllability and approximate controllability for a class of weakly degenerate parabolic equations with memory by means of boundary controls. Unlike the known result for the degenerate parabolic equation, the ... WebOct 1, 2010 · Abstract. This paper is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled one-dimensional parabolic …

WebJan 1, 2002 · Request PDF On Jan 1, 2002, Viorel Barbu published Controllability of parabolic and Navier-Stokes equations Find, read and cite all the research you need … WebJun 1, 2024 · In [20], Liu and Li studied the approximate controllability of fractional evolution systems with Riemann–Liouville fractional derivatives. Li and Zhou in [30] considered the approximate controllability for a class of control systems governed by semilinear parabolic equations with a boundary control by using the theorem of …

WebOct 21, 2011 · These latter inequalities yield a remarkable spectral inequality and the null controllability of the heat equation. Secondly, we prove Carleman estimates for parabolic operators. We state them locally in space at first, and patch them together to obtain a global estimate. This second approach also yields the null controllability of the heat ...

WebThe null-controllability property of a $1-d$ parabolic equation involving a fractional power of the Laplace operator, $ (-\Delta)^\alpha$, is studied. The control is a scalar time … tennessee center for nonprofit managementWebKeywords and phrases: Controllability, Sentinels, Parabolic equation. The authors thank the referees for their careful reading and their precious comments. Their help is much appreciated. Abstract. In this paper, we study an approximate controllability problem. This problem appears naturally of approximate sentinel "weakly sentinel". tennessee chief academic officer lisa coonsWebThis paper concerns a class of control systems governed by semilinear degenerate parabolic equations with convection terms, which cannot be controlled by the diffusion terms. The Carleman estimates and the observability inequalities for the corresponding linear equations are established if the degeneracy is relatively weak. Subsequently, it is … tennessee child abuse registryWebThis work is devoted to the study of the solubility of the problem of exact boundary controllability of semilinear parabolic equations. In contrast with previous works on the same subject, in which the case of a linear parabolic equation with coefficients depending only on the space variable χ (see [1]) was considered, we have proved the solubility of … trey frey bandcampWebJan 1, 2024 · For T > 0, the controlled parabolic equation associated with P 0, in the time interval (0, T), with homogeneous Dirichlet boundary conditions, and for an initial … tennessee child abandonment lawWebMay 7, 2024 · This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value … trey freehold njWebAbstractIn this paper we consider the null controllability for a population model depending on time, on space and on age. Moreover, the diffusion coefficient degenerate at the boundary of the space domain. The novelty of this paper is that for the first ... tennessee change of parenting plan