Methods Of Geometry In The Theory Of Partial Differential Equations: Principle Of The Cancellation Of Singularities - Rilegato

Suzuki, Takashi

 
9789811287893: Methods Of Geometry In The Theory Of Partial Differential Equations: Principle Of The Cancellation Of Singularities
Rilegato
ISBN 10: 9811287899 ISBN 13: 9789811287893
Casa editrice: WSPC, 2024

Sinossi

Mathematical models are used to describe the essence of the real world, and their analysis induces new predictions filled with unexpected phenomena. In spite of a huge number of insights derived from a variety of scientific fields in these five hundred years of the theory of differential equations, and its extensive developments in these one hundred years, several principles that ensure these successes are discovered very recently. This monograph focuses on one of them: cancellation of singularities derived from interactions of multiple species, which is described by the language of geometry, in particular, that of global analysis. Five objects of inquiry, scattered across different disciplines, are selected in this monograph: evolution of geometric quantities, models of multi-species in biology, interface vanishing of d – δ systems, the fundamental equation of electro-magnetic theory, and free boundaries arising in engineering. The relaxation of internal tensions in these systems, however, is described commonly by differential forms, and the reader will be convinced of further applications of this principle to other areas.

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Editore
WSPC
Data di pubblicazione
2024
Lingua
Inglese
ISBN 10 
9811287899
ISBN 13 
9789811287893
Rilegatura
Copertina rigida
Numero di pagine
416
Contatto del produttore
non disponibile
Persona responsabile
GPSR Kontakt
gpsr@libri.de

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