A Primer for a Secret Shortcut to PDEs of Mathematical Physics - Couverture souple

McGhee, Des; Picard, Rainer; Trostorff, Sascha; Waurick, Marcus

Couverture souple

ISBN 10 : 3030473325 ISBN 13 : 9783030473327

Editeur : Birkhäuser, 2020

Synopsis

​This book presents a concise introduction to a unified Hilbert space approach to the mathematical modelling of physical phenomena which has been developed over recent years by Picard and his co-workers. The main focus is on time-dependent partial differential equations with a particular structure in the Hilbert space setting that ensures well-posedness and causality, two essential properties of any reasonable model in mathematical physics or engineering.However, the application of the theory to other types of equations is also demonstrated. By means of illustrative examples, from the straightforward to the more complex, the authors show that many of the classical models in mathematical physics as well as more recent models of novel materials and interactions are covered, or can be restructured to be covered, by this unified Hilbert space approach.

The reader should require only a basic foundation in the theory of Hilbert spaces and operators therein. For convenience, however, some of the more technical background requirements are covered in detail in two appendices The theory is kept as elementary as possible, making the material suitable for a senior undergraduate or master's level course. In addition, researchers in a variety of fields whose work involves partial differential equations and applied operator theory will also greatly benefit from this approach to structuring their mathematical models in order that the general theory can be applied to ensure the essential properties of well-posedness and causality.

A propos du livre

À propos de l?auteur

Des McGhee is Honorary Lecturer at the University of Strathclyde in Glasgow, Scotland.

Rainer Picard is Seniorprofessor at the TU Dresden in Germany.

Sascha Trostorff is lecturer at the Christian-Albrechts-Universität zu Kiel in Germany.

Marcus Waurick Chancellor's Fellow at the University of Strathclyde in Glasgow, Scotland.

Détails de l'édition

• Éditeur: Birkhäuser
• Date d'édition: 2020
• Langue: anglais
• ISBN 10: 3030473325
• ISBN 13: 9783030473327
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 196
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible