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Recent advances in PDEs: analysis, numerics and control. In honor of Prof. Fernández-Cara’s 60th birthday. Based on talks given at the workshop, Sevilla, Spain, January 25–27, 2017. (English) Zbl 1406.35006

SEMA SIMAI Springer Series 17. Cham: Springer (ISBN 978-3-319-97612-9/hbk; 978-3-319-97613-6/ebook). xiii, 249 p. (2018).

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Publisher’s description: This book contains the main results of the talks given at the workshop “Recent advances in PDEs: analysis, numerics and control”, which took place in Sevilla (Spain) on January 25–27, 2017. The work comprises 12 contributions given by high-level researchers in the partial differential equation (PDE) area to celebrate the 60th anniversary of Enrique Fernández-Cara (University of Sevilla). The main topics covered here are: Control and inverse problems, Analysis of Fluid mechanics and Numerical Analysis. The work is devoted to researchers in these fields.
The articles of this volume will be reviewed individually.
Indexed articles:
Khodja, Farid Ammar; Dupaix, Cédric, Essential spectrum and null controllability of some parabolic equations, 1-15 [Zbl 1414.35102]
Araruna, Fágner Dias; Matias, Frederico de Oliveira; Oliveira, Milton de Lacerda; e Souza, Shirley Maria Santos, Well-posedness and asymptotic behavior for a nonlinear wave equation, 17-32 [Zbl 1428.35232]
Benítez, Marta; Bermúdez, Alfredo; Fontán, Pedro, A second-order linear Newmark method for Lagrangian Navier-Stokes equations, 33-59 [Zbl 1417.35232]
Bresch, Didier; Colin, Mathieu; Lin, Xi; Noble, Pascal, Lubrication theory and viscous shallow-water equations, 61-71 [Zbl 1414.76018]
Casas, Eduardo, The influence of the Tikhonov term in optimal control of partial differential equations, 73-94 [Zbl 1417.35212]
Codina, Ramon, On the design of algebraic fractional step methods for viscoelastic incompressible flows, 95-115 [Zbl 1417.35115]
Hernández-Santamaría, Víctor; de Teresa, Luz, Some remarks on the hierarchic control for coupled parabolic PDEs, 117-137 [Zbl 1417.35215]
Huaman, Dany Nina; Límaco, Juan; Nuñez Chávez, Miguel R., Local null controllability of the \(N\)-dimensional Ladyzhenskaya-Smagorinsky with \(N-1\) scalar controls, 139-158 [Zbl 1414.35248]
Münch, Arnaud, Numerical estimations of the cost of boundary controls for the equation \(y_t-\varepsilon y_{xx}+My_x=0\) with respect to \(\varepsilon\), 159-191 [Zbl 1414.35250]
Marín, Francisco J.; Martínez-Frutos, Jesús; Periago, Francisco, Control of random PDEs: an overview, 193-210 [Zbl 1414.35249]
Coronel, Aníbal; Guillén-González, Francisco; Marques-Lopes, Francisco; Rojas-Medar, Marko, The Dubovitskii and Milyutin formalism applied to an optimal control problem in a solidification model, 211-231 [Zbl 1414.35247]
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique, Local regularity for fractional heat equations, 233-249 [Zbl 1415.35072]

MSC:

35-06 Proceedings, conferences, collections, etc. pertaining to partial differential equations
00B25 Proceedings of conferences of miscellaneous specific interest
00A71 General theory of mathematical modeling
35Qxx Partial differential equations of mathematical physics and other areas of application
65Z05 Applications to the sciences

Biographic References:

Fernández-Cara, Enrique
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