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The Mathematics of Diffusion

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The Mathematics of Diffusion Synopsis

Diffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. This book focuses on the qualitative properties of solutions to nonlinear elliptic and parabolic equations and systems in connection with domain geometry, various boundary conditions, the mechanism of different diffusion rates, and the interaction between diffusion and spatial heterogeneity.

The book systematically explores the interplay between different diffusion rates from the viewpoint of pattern formation, particularly Turing's diffusion-driven instability in both homogeneous and heterogeneous environments, and the roles of random diffusion, directed movements, and spatial heterogeneity in the classical Lotka-Volterra competition systems.

Interspersed throughout the book are many simple, fundamental, and important open problems for readers to investigate.

About This Edition

ISBN: 9781611971965
Publication date:
Author: WM Ni
Publisher: Society for Industrial and Applied Mathematics an imprint of SIAM - Society for Industrial and Applied Mathematics
Format: Paperback
Pagination: 110 pages
Series: CBMS-NSF Regional Conference Series in Applied Mathematics
Genres: Applied mathematics