| A Primer for a Secret Shortcut to PDEs of Mathematical Physics 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.
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. |