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Recent Advances in Differential Equations and Applications

  • Book
  • © 2019

Overview

Editors:
  1. Juan Luis García Guirao

    1. Department of Applied Mathematics and Statistics, Technical University of Cartagena, Cartagena, Spain

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  2. José Alberto Murillo Hernández

    1. Department of Applied Mathematics and Statistics, Technical University of Cartagena, Cartagena, Spain

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    You can also search for this editor in PubMed   Google Scholar

  3. Francisco Periago Esparza

    1. Department of Applied Mathematics and Statistics, Technical University of Cartagena, Cartagena, Spain

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    You can also search for this editor in PubMed   Google Scholar

  • Provides graduate students and researchers with a cutting-edge overview of current research in applied mathematics, mainly in ordinary and partial differential equations
  • Includes color illustrations of simulation results
  • Highlights various concrete applications of mathematics in industry

Part of the book series: SEMA SIMAI Springer Series (SEMA SIMAI, volume 18)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Applications of Observability Inequalities

    • Jone Apraiz
    Pages 1-16

  3. Optimal Design of Piezoelectric Microactuators: Linear vs Non-linear Modeling

    • David Ruiz, José Carlos Bellido, Alberto Donoso
    Pages 17-32

  4. Formulation and Analysis of a Class of Direct Implicit Integration Methods for Special Second-Order I.V.P.s in Predictor-Corrector Modes

    • Higinio Ramos
    Pages 33-61

  5. Application of a Local Discontinuous Galerkin Method to the 1D Compressible Reynolds Equation

    • Iñigo Arregui, J. Jesús Cendán, María González
    Pages 63-75

  6. Classical Symmetries for Two Special Cases of Unsteady Flow in Nanoporous Rock

    • Tamara M. Garrido, Rafael de la Rosa, María Santos Bruzón
    Pages 77-86

  7. Asymptotic Behaviour of Finite Length Solutions in a Thermosyphon Viscoelastic Model

    • Ángela Jiménez-Casas
    Pages 87-105

  8. Conservation Laws and Potential Symmetries for a Generalized Gardner Equation

    • Rafael de la Rosa, Tamara M. Garrido, María Santos Bruzón
    Pages 107-119

  9. On a Nonlocal Boussinesq System for Internal Wave Propagation

    • Angel Durán
    Pages 121-139

  10. Subdivision Schemes and Multiresolution Analyses: Focus on the Shifted Lagrange and Shifted PPH Schemes

    • Zhiqing Kui, Jean Baccou, Jacques Liandrat
    Pages 141-155

  11. Modelling Sparse Saliency Maps on Manifolds: Numerical Results and Applications

    • Euardo Alcaín, Ana Isabel Muñoz, Iván Ramírez, Emanuele Schiavi
    Pages 157-175

  12. Linear Elimination in Chemical Reaction Networks

    • Meritxell Sáez, Elisenda Feliu, Carsten Wiuf
    Pages 177-193

  13. Minimal Set of Generators of Controllability Space for Singular Linear Systems

    • María Isabel García-Planas
    Pages 195-210

  14. On Stability of Discontinuous Galerkin Approximations to Anisotropic Stokes Equations

    • Francisco Guillén-González, María Victoria Redondo-Neble, José Rafael Rodríguez-Galván
    Pages 211-228

  15. Numerical Simulation of Wear-Related Problems in a Blast Furnace Runner

    • Patricia Barral, Begoña Nicolás, Luis Javier Pérez-Pérez, Peregrina Quintela
    Pages 229-244
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Keywords

About this book

This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics.


Reviews

“This is a book clearly aimed at experts, and most of the papers are focused on applications that are also very specialized.” (Bill Satzer, MAA Reviews, July 08, 2019)

Editors and Affiliations

  • Department of Applied Mathematics and Statistics, Technical University of Cartagena, Cartagena, Spain

    Juan Luis García Guirao, José Alberto Murillo Hernández, Francisco Periago Esparza

About the editors

Juan Luis García Guirao is a Full Professor of Applied Mathematics at the Technical University of Cartagena, Spain. He completed his Master’s and PhD in Mathematics at the Universidad de Murcia, Spain in 2001 and 2004. Under the supervision of Professor Francisco Balibrea, Full Professor of Mathematical Analysis and founder of the Dynamical Systems Group of the Region of Murcia he defended his Master’s Thesis in 2001 and PhD Thesis in 2004. His doctoral studies also involved a research stay at the Instituto Superior Tecnico in Lisbon under the supervision of Professor José Sousa-Ramos, one of the main researchers in Dynamical Systems in Portugal. He has held several positions at different universities, including the Universidad de Alicante, Universidad de Castilla-La Mancha, Universidad Autónoma de Barcelona, and Technical University of Cartagena. In 2011, at the age of 33, he became Spain’s youngest Full Professor of Mathematics. The author of more than 100 research paperspublished in prominent journals, he also serves on the Editorial Board of several journals, including MATCH Commun. Math. Comput. Chem., Open Physics, and Discrete Dynamics in Nature and Society. He has received a number of awards, e.g. the NSP 2017 for researchers younger than 40 years old, and the JDEA 2017 award for the best paper published in the field of Differential Equations. In addition, he has opened three research lines: discrete dynamical systems defined in low dimensional spaces, study of the periodic structure of smooth systems using the homological Lefschetz theory and analysis of Hamiltonian systems. Applications of the previous lines to problems from the fields of economics, chemistry and engineering are also considered.

José Alberto Murillo Hernández is an Associate Professor at the Department of Applied Mathematics and Statistics, Technical University of Cartagena, Spain. He received his Ph.D. in Mathematics from the University of Valencia, Spain and subsequently took part in a post-doctoral research stay at the Ecole Polytechnique in Paris, France supported by a grant from the European Union. His research interests include set-valued and nonsmooth analysis, viability theory and control. He is currently investigating the description and control of the evolution of sets driven by morphological equations.


Francisco Periago Esparza completed his PhD at the University of Valencia, Spain, in 1999. He is currently an Associate Professor at the Department of Applied Mathematics and Statistics and member of the Computational Mechanics and Scientific Computing group at the Technical University of Cartagena, Spain. His main research interests include optimal control, optimal design and controllability, both at the theoretical level and as applied to engineering problems. In the past few years, he has chiefly focused on optimal control for random PDEs.

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