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An Introduction to Reaction-diffusion Theory

(Autor)

Buch | Softcover
320 Seiten
2020
Cambridge University Press (Verlag)
978-0-521-53844-2 (ISBN)
31,10 inkl. MwSt
This graduate text book introduces the mathematical theory underpinning models in biology, ecology and chemistry.
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 0-521-53844-0 / 0521538440
ISBN-13 978-0-521-53844-2 / 9780521538442
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