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

Suzuki, Takashi

 
9789811287893: Methods Of Geometry In The Theory Of Partial Differential Equations: Principle Of The Cancellation Of Singularities
Couverture rigide
ISBN 10 : 9811287899 ISBN 13 : 9789811287893
Editeur : WSPC, 2024

Synopsis

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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Éditeur
WSPC
Date d'édition
2024
Langue
anglais
ISBN 10 
9811287899
ISBN 13 
9789811287893
Reliure
Relié
Nombre de pages
416
Coordonnées du fabricant
non disponible
Personne responsable
non disponible