The Mathematics of Diffusion
Part of CBMS-NSF Regional Conference Series in Applied Mathematics
- Author: Wei-Ming Ni, University of Minnesota
- Date Published: October 2011
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
- format: Paperback
- isbn: 9781611971965
Paperback
Looking for an inspection copy?
This title is not currently available on inspection
-
Diffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. The Mathematics of Diffusion 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.
Read more- Major modern achievements are described in order to quickly bring readers to the cutting edge of the subject
- Throughout the book many simple, fundamental and important open problems are mentioned with their significance explained
- Suitable for use as a graduate student text or as a reference book for researchers
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: October 2011
- format: Paperback
- isbn: 9781611971965
- length: 128 pages
- dimensions: 252 x 171 x 7 mm
- weight: 0.22kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Table of Contents
Preface
1. Introduction: the heat equation
2. Dynamics of general reaction-diffusion equations and systems
3. Qualitative properties of steady states of reaction-diffusion equations and systems
4. Diffusion in heterogeneous environments:
2 x 2 Lotka–Volterra competition systems
5. Beyond diffusion: directed movements, taxis, and cross-diffusion
Bibliography
Index.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×