Data

NameGonzález Burgos, Manuel
DepartmentEcuaciones Diferenciales y Análisis Numérico
Knowledge areaAnálisis Matemático
Professional categoryCatedrático de Universidad
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  Statistics

  • Items

    46

  • Visits

    4837

  • Downloads

    6058

  Publications

 

Article
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Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Morancey, Morgan (Elsevier, 2018-01-01)
This paper investigates the link between the null controllability property for some abstract parabolic problems and an ...
Master's Final Project
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Controlabilidad de ecuaciones escalares parabólicas: análisis de diferentes técnicas

González Burgos, Manuel; Sánchez Florido, Aitor (2017-01-01)
The controllability of parabolic partial differential equations has been a topic of increasing interest in the last decades ...
Article
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New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2016-12-15)
We consider the null controllability problem for two coupled parabolic equations with a space-depending coupling term. We ...
Presentation
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Controllability of non-scalar parabolic systems: Some recent results and phenomena

González Burgos, Manuel (2016-01-01)
In this course we will deal with non-scalar systems which in fact are coupled parabolic scalar equations. We do not present ...
Presentation
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Controllability of linear parabolic systems: New phenomena

González Burgos, Manuel (2015-01-01)
Presentation
Article
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Controllability of linear and semilinear non-diagonalizable parabolic systems

Fernández Cara, Enrique; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (EDP Sciences, 2015-01-01)
This paper is concerned with the controllability of some (linear and semilinear) nondiagonalizable parabolic systems of ...
Article
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Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2014-10-01)
Let (A, D(A)) a diagonalizable generator of a C0−semigroup of contractions on a complex Hilbert space X, B2L(C, Y ), Y ...
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Minimal time of controllability of two parabolic equations with disjoint control and coupling domains

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2014-05-01)
We consider two parabolic equations coupled by a matrix A(x) = q(x)A0, where A0 is a Jordan block of order 1, and controlled ...
Presentation
Presentation
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Minimal time of controllability for some parabolic systems

González Burgos, Manuel; Ammar-Khodja, Farid; Benabdallah, Assia; Teresa de Oteyza, María de la Luz de (2014-01-01)
The general aim of this talk is to show a phenomenon which arise when we deal with the null controllability properties of ...
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Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the N-dimensional boundary null controllability in cylindrical domains

Benabdallah, Assia; Boyer, Franck; González Burgos, Manuel; Olive, Guillaume (Society for Industrial and Applied Mathematics, 2014-01-01)
In this paper we consider the boundary null controllability of a system of n parabolic equations on domains of the form Ω ...
Article
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A new relation between the condensation index of complex sequences and the null controllability of parabolic systems

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2013-10-01)
In this note we present a new result that relates the condensation index of a sequence of complex numbers with the null ...
Article
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Some controllability results for linear viscoelastic fluids

Boldrini, José Luiz; Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel (Society for Industrial and Applied Mathematics, 2012-01-01)
We analyze the controllability properties of systems which provide a description, at first approximation, of a kind of ...
Article
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The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2011-12-01)
This paper is devoted to prove the controllability to trajectories of a system of n one-dimensional parabolic equations ...
Article
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Recent results on the controllability of linear coupled parabolic problems: A survey

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (American Institute of Mathematical Sciences, 2011-09-01)
This paper tries to summarize recent results on the controllability of systems of (several) parabolic equations. The ...
Presentation
Presentation
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Controllability of non-scalar parabolic systems

González Burgos, Manuel (2011-01-01)
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Boundary controllability of parabolic coupled equations

Fernández Cara, Enrique; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2010-10-01)
This paper is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two ...
Article
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Controllability results for cascade systems of m coupled parabolic PDEs by one control force

González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (European Mathematical Society, 2010-01-01)
In this paper we will analyze the controllability properties of a linear coupled parabolic system of m equations when a ...
Presentation
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Some recent results on controllability of coupled parabolic systems: towards a Kalman condition

González Burgos, Manuel (2010-01-01)
Show the important differences between scalar and non scalar problems. Give necessary and sufficient conditions (Kalman ...
Presentation
Article
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A generalization of the Kalman rank condition for time-dependent coupled linear parabolic systems

Ammar-Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; González Burgos, Manuel (Ele-Math, 2009-08-01)
In this paper we present a generalization of the Kalman rank condition for linear ordinary differential systems to the ...
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On the boundary controllability of non-scalar parabolic systems

Fernández Cara, Enrique; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2009-07-01)
This Note is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled ...
Article
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A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems

Ammar-Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; González Burgos, Manuel (Springer, 2009-06-01)
We present a generalization of the Kalman rank condition to the case of non linear parabolic systems with constant ...
Article
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Controllability for a class of reaction-diffusion systems: the generalized Kalman's condition

Ammar-Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; González Burgos, Manuel (Elsevier, 2007-11-15)
In this article, we study the controllability of a class of parabolic systems of the form Yt = (D∆+A)Y +Bχωu with Dirichlet ...
Presentation
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Null controllability results for parabolic equations in unbounded domains

González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (2007-09-01)
In this talk we present some results concerning the null controllability for a heat equation in unbounded domains. We ...
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A geometric inverse problem for the Boussinesq system

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel; Ortega Palma, Jaime Humberto (American Institute of Mathematical Sciences, 2006-11-01)
In this work we present some results for the inverse problem of the identification of a single rigid body immersed in a ...
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Null-exact controllability of a semilinear cascade system of parabolic-hyperbolic equations

Fernández Cara, Enrique; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (American Institute of Mathematical Sciences, 2006-09-01)
This paper is concerned with the null-exact controllability of a cascade system formed by a semilinear heat and a semilinear ...
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Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case

Fernández Cara, Enrique; González Burgos, Manuel; Guerrero Rodríguez, Sergio; Puel, Jean-Pierre (EDP Sciences, 2006-07-01)
This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving ...
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Null controllability of the heat equation with boundary Fourier conditions: the linear case

Fernández Cara, Enrique; González Burgos, Manuel; Guerrero Rodríguez, Sergio; Puel, Jean-Pierre (EDP Sciences, 2006-07-01)
In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary ...
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Uniqueness and partial identification in a geometric inverse problem for the Boussinesq system

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel; Ortega Palma, Jaime Humberto (Elsevier, 2006-05-01)
We analyze the inverse problem of the identification of a rigid body immersed in a fluid governed by the stationary Boussinesq ...
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Controllability results for some nonlinear coupled parabolic systems by one control force

González Burgos, Manuel; Pérez García, Rosario (IOS Press, 2006-01-01)
In this paper, we present new controllability results for some nonlinear coupled parabolic systems considered in a bounded ...
PhD Thesis
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Controlabilidad de algunas ecuaciones en derivadas parciales no lineales de tipo parabólico e hiperbólico

Fernández Cara, Enrique; González Burgos, Manuel; Guerrero Rodríguez, Sergio (2005-05-13)
Esta memoria está esencialmente dividida en cinco partes, En la primera, se realiza una detallada introducción sobre los ...
Article
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Controllability of some coupled parabolic systems by one control force

González Burgos, Manuel; Pérez García, Rosario (Elsevier, 2005-01-15)
In this Note we present a new approach which allows one to prove new controllability results for some coupled parabolic ...
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On the controllability of the heat equation with nonlinear boundary Fourier conditions

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel (Elsevier, 2004-01-20)
In this paper we analyze the approximate and null controllability of the classical heat equation with nonlinear boundary ...
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Existence of insensitizing controls for a semilinear heat equation with a superlinear nonlinearity

Bodart, Olivier; González Burgos, Manuel; Pérez García, Rosario (Taylor & Francis, 2004-01-01)
In this paper we consider a semilinear heat equation (in a bounded domain Ω of IRN ) with a nonlinearity that has a ...
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A local result on insensitizing controls for a semilinear heat equation with nonlinear boundary Fourier conditions

Bodart, Olivier; González Burgos, Manuel; Pérez García, Rosario (Society for Industrial and Applied Mathematics, 2004-01-01)
In this paper we present a local result on the existence of insensitizing controls for a semilinear heat equation when ...
PhD Thesis
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Insensitizing controls for a heat equation with a nonlinear term involving the state and the gradient

Bodart, Olivier; González Burgos, Manuel; Pérez García, Rosario (Elsevier, 2004-01-01)
In this paper we present two results on the existence of insensitizing controls for a heat equation in a bounded domain ...
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Insensitizing controls for a semilinear heat equation with a superlinear nonlinearity

Bodart, Olivier; González Burgos, Manuel; Pérez García, Rosario (Elsevier, 2002-10-15)
This Note is concerned with the existence of insensitizing controls for a semilinear heat equation when we consider ...
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On the controllability of parabolic systems with a nonlinear term involving the state and the gradient

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel; Zuazua Iriondo, Enrique (Society for Industrial and Applied Mathematics, 2002-01-01)
We present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) ...
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Controlabilidad de E.D.P. parabólicas

González Burgos, Manuel (Sociedad Española de Matemática Aplicada, 2001-12-01)
PhD Thesis
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Análisis y control de algunas EDP no lineales con origen en mecánica

Fernández Cara, Enrique; González Burgos, Manuel; Doubova Krasotchenko, Anna (2000-01-01)
"En esta Memoria, analizaremos diversos problemas de controlabilidad relacionados con ecuaciones en derivadas parciales (EDP) de evolución de tipo parabólico o hiperbólico, motivadas por problemas con origen en Mecánica".
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A result concerning controllability for the Navier-Stokes equations

Fernández Cara, Enrique; González Burgos, Manuel (Society for Industrial and Applied Mathematics, 1995-07-01)
The main goal of this paper is to present a new result concerning controllability of the time-dependent Navier-Stokes ...
PhD Thesis
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Dos problemas relacionados con E.D.P. de evolución no lineales A. Sobre la controlabilidad aproximada de las ecuaciones de Navier-Stokes con control frontera : B. Una nueva demostración de la existencia de solución de leyes de conservación escalares en va

Fernández Cara, Enrique; González Burgos, Manuel (1993-01-01)
"En esta Memoria, estudiamos cuestiones relacionadas con dos problemas en derivadas parciales de evolución no lineales. ...