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An Introduction to Reaction-diffusion Theory

David Needham (Autor)

Buch | Hardcover

320 Seiten

2020
Cambridge University Press (Verlag)
978-0-521-83115-4 (ISBN)

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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.

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;

Erscheint lt. Verlag	1.6.2020
Reihe/Serie	Cambridge Texts in Applied Mathematics ; No. 39
Zusatzinfo	45 line diagrams
Verlagsort	Cambridge
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Cambridge Texts in Applied Mathematics; No. 39
ISBN-10	0-521-83115-6 / 0521831156
ISBN-13	978-0-521-83115-4 / 9780521831154
Zustand	Neuware