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Introduction to Reaction-diffusion Theory [Pehme köide]

  • Formaat: Paperback / softback, 320 pages, 45 line diagrams
  • Sari: Cambridge Texts in Applied Mathematics No. 39
  • Ilmumisaeg: 01-Jun-2020
  • Kirjastus: Cambridge University Press
  • ISBN-10: 0521538440
  • ISBN-13: 9780521538442
Teised raamatud teemal:
Introduction to Reaction-diffusion Theory
  • Formaat: Paperback / softback, 320 pages, 45 line diagrams
  • Sari: Cambridge Texts in Applied Mathematics No. 39
  • Ilmumisaeg: 01-Jun-2020
  • Kirjastus: Cambridge University Press
  • ISBN-10: 0521538440
  • ISBN-13: 9780521538442
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780521538442.html
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;