Name: Non-Local Partial Differential Equations for Engineering and Biology (en Inglés)
SKU: 63504679
Price: 51.74 USD
Availability: InStock
Author: Nikos I. Kavallaris;Takashi Suzuki

portada Non-Local Partial Differential Equations for Engineering and Biology (en Inglés)

Non-Local Partial Differential Equations for Engineering and Biology (en Inglés)

Formato

Libro Físico

Editorial

Springer Nature B.V.

Autor

Nikos I. Kavallaris;Takashi Suzuki

Año

2017

Idioma

Inglés

N° páginas

322

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6 cm

ISBN13

9783319679433

Non-Local Partial Differential Equations for Engineering and Biology (en Inglés)

Nikos I. Kavallaris;Takashi Suzuki (Autor) · Springer Nature B.V. · Tapa Blanda

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Reseña del libro "Non-Local Partial Differential Equations for Engineering and Biology (en Inglés)"

This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering. The authors then employ a number of models in bio-science and material science to demonstrate applications, and provide recent advanced studies, both on deterministic non-local partial differential equations and on some of their stochastic counterparts used in engineering. Mathematical models applied in engineering, chemistry, and biology are subject to conservation laws. For instance, decrease or increase in thermodynamic quantities and non-local partial differential equations, associated with the conserved physical quantities as parameters. These present novel mathematical objectsare engaged with rich mathematical structures, in accordance with the interactions between species or individuals, self-organization, pattern formation, hysteresis. These models are based on various laws of physics, such as mechanics of continuum, electro-magnetic theory, and thermodynamics. This is why many areas of mathematics, calculus of variation, dynamical systems, integrable systems, blow-up analysis, and energy methods are indispensable in understanding and analyzing these phenomena.
This book aims for researchers and upper grade students in mathematics, engineering, physics, economics, and biology.