Parabolic Equations in Biology Growth, reaction, movement and diffusion /

• Κύριος συγγραφέας: Perthame, Benoît (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Lecture Notes on Mathematical Modelling in the Life Sciences,
• Θέματα: Mathematics.; Applied mathematics.; Engineering mathematics.; Biomathematics.; Mathematical and Computational Biology.; Applications of Mathematics.

This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dyna...

Πίνακας περιεχομένων:

• 1.Parabolic Equations in Biology
• 2.Relaxation, Perturbation and Entropy Methods
• 3.Weak Solutions of Parabolic Equations in whole Space
• 4.Traveling Waves
• 5.Spikes, Spots and Pulses
• 6.Blow-up and Extinction of Solutions
• 7.Linear Instability, Turing Instability and Pattern Formation
• 8.The Fokker-Planck Equation
• 9.From Jumps and Scattering to the Fokker-Planck Equation
• 10.Fast Reactions and the Stefan free Boundary Problem.