Buch, Englisch, 309 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 658 g
with Applications to Shallow Water Models
Buch, Englisch, 309 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 658 g
Reihe: CMS/CAIMS Books in Mathematics
ISBN: 978-3-031-53073-9
Verlag: Springer International Publishing
Nonlinear partial differential equations (PDE) are at the core of mathematical modeling. In the past decades and recent years, multiple analytical methods to study various aspects of the mathematical structure of nonlinear PDEs have been developed. Those aspects include C- and S-integrability, Lagrangian and Hamiltonian formulations, equivalence transformations, local and nonlocal symmetries, conservation laws, and more. Modern computational approaches and symbolic software can be employed to systematically derive and use such properties, and where possible, construct exact and approximate solutions of nonlinear equations. This book contains a consistent overview of multiple properties of nonlinear PDEs, their relations, computation algorithms, and a uniformly presented set of examples of application of these methods to specific PDEs. Examples include both well known nonlinear PDEs and less famous systems that arise in the context of shallow water waves and far beyond. The book will beof interest to researchers and graduate students in applied mathematics, physics, and engineering, and can be used as a basis for research, study, reference, and applications.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
- Mathematik | Informatik Mathematik Mathematik Allgemein
- Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
- Naturwissenschaften Biowissenschaften Angewandte Biologie Bioinformatik
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
Weitere Infos & Material
Equations of Fluid dynamics and the shallow water approximation.- Integrability and related analytical properties of nonlinear PDE systems.- Analytical properties of some classical shallow-water models.- Discussion.
