An Introduction to Reaction-diffusion Theory
Seiten
2020
Cambridge University Press (Verlag)
978-0-521-53844-2 (ISBN)
Cambridge University Press (Verlag)
978-0-521-53844-2 (ISBN)
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.
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 |
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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 |
Zustand | Neuware |
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