SEMA SIMAI Springer Series

Recent Advances in PDEs: Analysis, Numerics and Control

In Honor of Prof. Fernández-Cara's 60th Birthday

Editors: Doubova, A., González-Burgos, M., Guillén-González, F., Marín Beltrán, M. (Eds.)

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  • Covers three different areas in Applied Mathematics
  • Presents contributions from researchers with a high impact at international level
  • All contributions were accepted after a thorough peer review process
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  • ISBN 978-3-319-97613-6
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Hardcover $119.99
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About this book

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.


About the authors

Anna Doubova is an Associate Professor in the Department of Differential Equations and Numerical Analysis (EDAN), Universidad de Sevilla, Spain. She holds a degree in Mechanics and Applied Mathematics from Lomonosov University (Moscow) and a PhD in Mathematics from the Universidad de Sevilla. Her research relates to analysis, control and inverse problems of PDEs with applications in physics, engineering, biology and other sciences. She publishes regularly in high-impact international journals.

Manuel González Burgos, BS, PhD, is Full Professor of Mathematical Analysis in the Department of Differential Equations and Numerical Analysis, Universidad de Sevilla, Spain. His fields of specialization include partial differential equations and control theory, with a particular focus on the controllability properties of scalar and non-scalar parabolic problems with controls exerted in a part of the domain or on a part of the boundary. He has published over 35 papers in peer-reviewed journals.

Francisco M. Guillén-González, BS, PhD, is Full Professor of Mathematical Analysis in the Department of Differential Equations and Numerical Analysis, Universidad de Sevilla, Spain. His research interests include the mathematical and numerical analysis  of PDE systems applied to other sciences. In particular, he has studied PDEs related to incompressible fluid mechanics, phase transitions and biological processes. He is the author of more than 70 papers in peer-reviewed journals.

Mercedes Marín Beltrán is an Associate Professor of Mathematical Analysis in the Department of Computing and Numerical Analysis at the Universidad de Córdoba, Spain. She received her BS and her PhD from the Universidad de Sevilla. She is the author of a number of publications in international journals on the development and analysis of advanced numerical methods for partial differential equations with applications to fluid dynamics and tumor growth.

Table of contents (12 chapters)

Table of contents (12 chapters)
  • Essential Spectrum and Null Controllability of Some Parabolic Equations

    Khodja, Farid Ammar (et al.)

    Pages 1-15

  • Well-Posedness and Asymptotic Behavior for a Nonlinear Wave Equation

    Araruna, Fágner Dias (et al.)

    Pages 17-32

  • A Second-Order Linear Newmark Method for Lagrangian Navier-Stokes Equations

    Benítez, Marta (et al.)

    Pages 33-59

  • Lubrication Theory and Viscous Shallow-Water Equations

    Bresch, Didier (et al.)

    Pages 61-71

  • The Influence of the Tikhonov Term in Optimal Control of Partial Differential Equations

    Casas, Eduardo

    Pages 73-94

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-319-97613-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-97612-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Recent Advances in PDEs: Analysis, Numerics and Control
Book Subtitle
In Honor of Prof. Fernández-Cara's 60th Birthday
Editors
  • Anna Doubova
  • Manuel González-Burgos
  • Francisco Guillén-González
  • Mercedes Marín Beltrán
Series Title
SEMA SIMAI Springer Series
Series Volume
17
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-97613-6
DOI
10.1007/978-3-319-97613-6
Hardcover ISBN
978-3-319-97612-9
Series ISSN
2199-3041
Edition Number
1
Number of Pages
XIII, 249
Number of Illustrations
2 b/w illustrations, 27 illustrations in colour
Topics