Methods Of Geometry In The Theory Of Partial Differential Equations: Principle Of The Cancellation Of Singularities - Hardcover
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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Methods of Geometry in the Theory of Partial Differential Equations: Principle of the Cancellation of Singularities
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METHODS OF GEOMETRY THEORY PARTIAL DIFFERENTIAL EQUATIONS
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Buch. Condition: Neu. METHODS OF GEOMETRY THEORY PARTIAL DIFFERENTIAL EQUATIONS | Suzuki Takashi | Buch | Englisch | 2024 | World Scientific | EAN 9789811287893 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand. Seller Inventory # 128327770
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Buch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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 itsextensive 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 - ¿ 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. Seller Inventory # 9789811287893