Methods of Geometry in the Theory of Partial Differential Equations : Principle of the Cancellation of Singularities

This monograph focuses on one of the theoretical underpinnings for mathematical models of the real world, arising in the theory of partial differential equations: cancellation of singularities derived from interactions of multiple species, which is described by the language of geometry, in particular, that of global analysis. Five topics are selected, widely spread across the sciences, but strongly connected by common geometric backgrounds: evolution of geometric quantities, models of multi-species in biology, interface vanishing of d - delta systems, the fundamental equation of electro-magnetic theory, and free boundaries arising in engineering--

Author: Takashi Suzuki

Publisher: World Scientific Publishing Company

Publication Date: Feb 16, 2024

Number of Pages: NA pages

Language: English

Binding: Hardcover

ISBN-10: 9811287899

ISBN-13: 9789811287893