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  • © 2018

Recent Advances in PDEs: Analysis, Numerics and Control

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

  • 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

Part of the book series: SEMA SIMAI Springer Series (SEMA SIMAI, volume 17)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xiii
  2. Essential Spectrum and Null Controllability of Some Parabolic Equations

    • Farid Ammar Khodja, Cédric Dupaix
    Pages 1-15
  3. Well-Posedness and Asymptotic Behavior for a Nonlinear Wave Equation

    • Fágner Dias Araruna, Frederico de Oliveira Matias, Milton de Lacerda Oliveira, Shirley Maria Santos e Souza
    Pages 17-32
  4. A Second-Order Linear Newmark Method for Lagrangian Navier-Stokes Equations

    • Marta Benítez, Alfredo Bermúdez, Pedro Fontán
    Pages 33-59
  5. Lubrication Theory and Viscous Shallow-Water Equations

    • Didier Bresch, Mathieu Colin, Xi Lin, Pascal Noble
    Pages 61-71
  6. Some Remarks on the Hierarchic Control for Coupled Parabolic PDEs

    • Víctor Hernández-Santamaría, Luz de Teresa
    Pages 117-137
  7. Local Null Controllability of the N-Dimensional Ladyzhenskaya-Smagorinsky with N-1 Scalar Controls

    • Dany Nina Huaman, Juan Límaco, Miguel R. Nuñez Chávez
    Pages 139-158
  8. Control of Random PDEs: An Overview

    • Francisco J. Marín, Jesús Martínez-Frutos, Francisco Periago
    Pages 193-210
  9. The Dubovitskii and Milyutin Formalism Applied to an Optimal Control Problem in a Solidification Model

    • Aníbal Coronel, Francisco Guillén-González, Francisco Marques-Lopes, Marko Rojas-Medar
    Pages 211-231
  10. Local Regularity for Fractional Heat Equations

    • Umberto Biccari, Mahamadi Warma, Enrique Zuazua
    Pages 233-249

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.


Editors and Affiliations

  • Facultad de Matemáticas, Universidad de Sevilla, Sevilla, Spain

    Anna Doubova, Manuel González-Burgos, Francisco Guillén-González

  • Departamento de Informática y Análisis Numérico, Universidad de Córdoba, Córdoba, Spain

    Mercedes Marín Beltrán

About the editors

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.

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access