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New Trends in the Applications of Differential Equations in Sciences

NTADES 2022, Sozopol, Bulgaria, June 14–17

  • Conference proceedings
  • © 2023

Overview

Editors:
  1. Angela Slavova

    1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria

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  • Includes wide range of applications in fields like physics, biology, economics, and neuroscience
  • Provides solutions to industrial problems with a focus on real-world applications
  • Presents many computer simulations

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 412)

Included in the following conference series:

Conference proceedings info: NTADES 2022.

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Table of contents (42 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Applications in Mathematical Physics

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Porous-Media Flow and Yamabe Flow on Complete Manifolds

      • Li Ma
      Pages 3-13

    3. Simple Equations Method (SEsM): Areas of Possible Applications

      • Nikolay K. Vitanov
      Pages 15-24

    4. An Example for Application of the Simple Equations Method for the Case of Use of a Single Simple Equation

      • Zlatinka I. Dimitrova
      Pages 25-33

    5. Boundary Value Problems for the Polyharmonic Operators

      • Petar Popivanov, Angela Slavova
      Pages 35-50

    6. Search of Complex Transcendental Roots of a Combination of a Nonlinear Equation and a Polynomial

      • Yoshihiro Mochimaru
      Pages 51-61

    7. Null Non-controllability for Singular and Degenerate Heat Equation with Double Singular Potential

      • Nikolai Kutev, Tsviatko Rangelov
      Pages 63-72

    8. Special Functions and Polynomials Connected to the Simple Equations Method (SEsM)

      • Nikolay K. Vitanov
      Pages 73-81

    9. Finite Time Blow Up of the Solutions to Nonlinear Wave Equations with Sign-Changing Nonlinearities

      • Nikolai Kutev, Milena Dimova, Natalia Kolkovska
      Pages 83-93

    10. An Example for Application of the Simple Equations Method for the Case of Use of Two Simple Equations

      • Zlatinka I. Dimitrova
      Pages 95-103

    11. A Note on the Steady Poiseuille Flow of Carreau–Yasuda Fluid

      • Nikolay Kutev, Sonia Tabakova
      Pages 105-115

    12. Green’s Function and Wave Scattering in Inhomogeneous Anti-plane PEM Half-Plane

      • Tsviatko Rangelov, Petia Dineva
      Pages 117-127

    13. On the Well-Posedness for The Complex Ginzburg–Landau Equation on the Product Manifold \({\mathbb R}^{d}\times {\mathbb T}\)

      • Elena Nikolova, Mirko Tarulli, George Venkov
      Pages 129-140

    14. Exact Traveling Wave Solutions of the Generalized Rosenau–Kawahara-RLW Equation via Simple Equations Method

      • Elena V. Nikolova, Mila Chilikova-Lubomirova
      Pages 141-152

    15. Several Properties of the Solutions of Linear and Semilinear Harmonic and Polyharmonic Equations

      • Petar Popivanov, Angela Slavova
      Pages 153-162

    16. Global Existence Result of Solutions for a Riser Equation with Logarithmic Source Term and Damping Term

      • Nazlı Irkıl, Erhan Pişkin
      Pages 163-168

    17. Parabolic Equations with Causal Operators

      • Tzanko Donchev, Dimitar Kolev, Mihail Kolev, Alina I. Lazu
      Pages 169-178

    18. Well Posedness of Solutions for a Degenerate Viscoelastic Equation for Kirchhoff-Type with Logarithmic Nonlinearity

      • Nazli Irkıl, Erhan Pişkin
      Pages 179-186

    19. An Application of Simplest Equations Method to Nonlinear Equations of Schrödinger Kind

      • Ivan P. Jordanov
      Pages 187-197
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  1. New Trends in the Applications of Differential Equations in Sciences

Keywords

About this book

This book convenes peer-reviewed, selected papers presented at the Ninth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) held in Sozopol, Bulgaria, June 17–20, 2022. The works are devoted to many applications of differential equations in different fields of science. A number of phenomena in nature (physics, chemistry, biology) and in society (economics) result in problems leading to the study of linear and nonlinear differential equations, stochastic equations, statistics, analysis, numerical analysis, optimization, and more. The main topics are presented in the five parts of the book - applications in mathematical physics, mathematical biology, financial mathematics, neuroscience, and fractional analysis.
In this volume, the reader will find a wide range of problems concerning recent achievements in both theoretical and applied mathematics. The main goal is to promote the exchange of new ideas and research between scientists, who develop and study differential equations, and researchers, who apply them for solving real-life problems. The book promotes basic research in mathematics leading to new methods and techniques useful for applications of differential equations.


The NTADES 2022 conference was organized in cooperation with the Society of Industrial and Applied Mathematics (SIAM), the major international organization for Industrial and Applied Mathematics and for the promotion of interdisciplinary collaboration between applied mathematics and science, engineering, finance, and neuroscience.



Editors and Affiliations

  • Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Angela Slavova

About the editor

Angela Slavova obtained her Master's degree in Computer Science (1986) and her PhD in Mathematics (1994) from the University of Ruse, Bulgaria. In 2005, she became a Doctor of Science and, in 2007, a Full Professor at the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences. Since 2004, Prof. Slavova is Head of the Department of Mathematical Physics, Institute of Mathematics, Bulgarian Academy of Sciences, and, since 2011, Head of the Department of Differential Equations and Mathematical Physics at the same Institute. Her research work focuses on the field of differential equations; cellular nonlinear and nanoscale networks; nonlinear waves propagation; equations of mathematical physics; and applications of differential equations in sciences.

Bibliographic Information

  • Book Title: New Trends in the Applications of Differential Equations in Sciences

  • Book Subtitle: NTADES 2022, Sozopol, Bulgaria, June 14–17

  • Editors: Angela Slavova

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-031-21484-4

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-21483-7Published: 18 March 2023

  • Softcover ISBN: 978-3-031-21486-8Published: 19 March 2024

  • eBook ISBN: 978-3-031-21484-4Published: 17 March 2023

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: X, 472

  • Number of Illustrations: 22 b/w illustrations, 48 illustrations in colour

  • Topics: Analysis, Mathematical Physics, Applications of Mathematics, Applications of Mathematics

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