zbMATH — the first resource for mathematics

An introduction to fronts in random media. (English) Zbl 1188.35003
Surveys and Tutorials in the Applied Mathematical Sciences 5. New York, NY: Springer (ISBN 978-0-387-87682-5/pbk; 978-0-387-87683-2/ebook). x, 159 p. (2009).
This book aims to give a user friendly tutorial of an interdisciplinary research topic to fronts in random media to senior undergraduates and beginning graduate students with basic knowledge of partial differential equations and probability. Fronts or interface motion occur in a wide range of scientific areas where the physical and chemical laws are expressed in terms of differential equations. Heterogeneities are always present in natural environments: fluid convection in combustion, porous structures, noise effects in material manufacturing to name a few. Stochastic models hence become natural due to the often lack of complete data in applications.

35-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations
35Q35 PDEs in connection with fluid mechanics
37H10 Generation, random and stochastic difference and differential equations
35R60 PDEs with randomness, stochastic partial differential equations
Full Text: DOI