An Introduction to Reaction-Diffusion Theory (Cambridge Texts in Applied Mathematics)

Needham, David

Cambridge Univ Pr（2022/07発売）

• 製本 Hardcover:ハードカバー版
• 言語 ENG
• 商品コード 9780521831154
• DDC分類 511

Full Description

Rapidly developing research areas such as mathematical biology, ecology, demography and chemistry often depend on underlying theory from reaction and diffusion. Aimed at upper-undergraduate and MSc students, this book provides a solid grounding in the mathematical ideas involved, supplementing these with numerous examples to illustrate their application.

Contents

Introduction; 1. The linear diffusion equation; 2. Reaction rate equations and the scalar reaction-diffusion equation; 3. Existence an Uniqueness; 4. Maximum principles and comparison theorems; 5. Equilibrium states and stability; 6. Steady states and stability; 7. Travelling waves; 8. Blow-up phenomena; 9. Non-linear diffusion; 10. Singular reaction phenomena; 11. Reaction-diffusion systems; 12. Asymptotic methods;