Výsledky vyhledávání - "Irene Marín-Gayte"

Theoretical and numerical local null controllability of a quasi-linear parabolic equation in dimensions 2 and 3

Autor: Irene Marín-Gayte, Enrique Fernández-Cara, J. Límaco

Publikováno v: Journal of the Franklin Institute. 358:2846-2871

This paper is devoted to the theoretical and numerical analysis of the null controllability of a quasi-linear parabolic equation. First, we establish a local controllability result. The proof relies on an appropriate inverse function argument. Then,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::02e9ed60319a2abd1723027931553817
https://doi.org/10.1016/j.jfranklin.2021.01.031

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Theoretical and numerical results for some bi-objective optimal control problems

Autor: Enrique Fernández-Cara, Irene Marín-Gayte

Publikováno v: Communications on Pure & Applied Analysis. 19:2101-2126

This article deals with the solution of some multi-objective optimal control problems for several PDEs: linear and semilinear elliptic equations and stationary Navier-Stokes systems. More precisely, we look for Pareto equilibria associated to standar

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e8130c1ff701169fd424ea69e322823e
https://doi.org/10.3934/cpaa.2020093

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Bi-objective optimal control of some PDEs: Nash equilibria and quasi-equilibria

Autor: Irene Marín-Gayte, Enrique Fernández-Cara

This paper deals with the solution of some multi-objective optimal control problems for several PDEs: linear and semilinear elliptic equations and stationary Navier-Stokes systems. Specifically, we look for Nash equilibria associated with standard co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4078d79a538e47ce53cbeaf7215438e7

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Approximation of null controls for semilinear heat equations using a least-squares approach

Autor: Arnaud Münch, Jérôme Lemoine, Irene Marín-Gayte

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2021, 27, pp.63. ⟨10.1051/cocv/2021062⟩
ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.63. ⟨10.1051/cocv/2021062⟩
ESAIM: Control, Optimisation and Calculus of Variations, In press
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, inPress
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, In press

The null distributed controllability of the semilinear heat equation ∂ty − Δy + g(y) = f 1ω assuming that g ∈ C1(ℝ) satisfies the growth condition lim sup|r|→∞g(r)∕(|r|ln3∕2|r|) = 0 has been obtained by Fernández-Cara and Zuazua (2

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51a79685a848151b9fd1535145a1cea6
https://hal.archives-ouvertes.fr/hal-02922784v1/file/NonlinearLS-H-1-25-08-2020.pdf

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A new proof of the existence of suitable weak solutions and other remarks for the Navier-Stokes equations

Autor: Irene Marín-Gayte, Enrique Fernández-Cara

Publikováno v: idUS. Depósito de Investigación de la Universidad de Sevilla
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We prove that the limits of the semi-discrete and the discrete semi-implicit Euler schemes for the 3D Navier-Stokes equations upplemented with Dirichlet boundary conditions are suitable in the sense of Scheffer. This provides a new proof of the exist

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a83c7d96ab1c97d097fa02f3f6fad3e6

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Approximation of null controls for semilinear heat equations using a least-squares approach

Autor: Irene Marín-Gayte

Publikováno v: Irene Marín-Gayte

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::c7ec0e496bacae4a20799a1a1b4eff58
https://hal.archives-ouvertes.fr/hal-02922784

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