Buch
Parabolic Equations in Biology
-Growth, reaction, movement and diffusion-Benoît Perthame
42,80
EUR
Lieferzeit 12-13 Tage
Übersicht
Verlag | : | Springer International Publishing |
Buchreihe | : | Lecture Notes on Mathematical Modelling in the Life Sciences |
Sprache | : | Englisch |
Erschienen | : | 17. 09. 2015 |
Seiten | : | 199 |
Einband | : | Kartoniert |
Höhe | : | 235 mm |
Breite | : | 155 mm |
Gewicht | : | 332 g |
ISBN | : | 9783319194998 |
Sprache | : | Englisch |
Autorinformation
Benoit Perthame is presently a Professor at the University Pierre et Marie Curie where he heads the Laboratoire Jacques-Louis Lions. Before that he was a professor at Ecole Normale Supérieure in Paris where he begun to develop a research ideated to several aspects of mathematical biology: collective motion of cells, adaptation and evolution theory, modeling in tumor growth and therapy. Benoit Perthame was a plenary speaker at ICM Seoul, 2014.
Inhaltsverzeichnis
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.
Pressestimmen
“This book presents a variety of phenomena arising in the analysis of partial differential equations modelling of biological, physical and chemical processes. … This book can well serve as a textbook for a course on master's level. Exercise problems are given in each chapter.” (Jonathan Zinsl, zbMATH 1333.35001, 2016)