Surveys and Tutorials in the Applied Mathematical Sciences

An Introduction to Fronts in Random Media

Authors: Xin, Jack

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  • Offers exercises and examples
  • Contains an expository style of writing
  • Provides a step-by-step approach
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eBook 32,99 €
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  • ISBN 978-0-387-87683-2
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Softcover 41,59 €
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About this Textbook

This book gives a user friendly tutorial to Fronts in Random Media, an interdisciplinary research topic, to senior undergraduates and graduate students in the mathematical sciences, physical sciences and engineering.

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.

The transition from seeking deterministic solutions to stochastic solutions is both a conceptual change of thinking and a technical change of tools. The book explains ideas and results systematically in a motivating manner. It covers multi-scale and random fronts in three fundamental equations (Burgers, Hamilton-Jacobi, and reaction-diffusion-advection equations) and explores their connections and mechanical analogies. It discusses representation formulas, Laplace methods, homogenization, ergodic theory, central limit theorems, large-deviation principles, variational and maximum principles.

It shows how to combine these tools to solve concrete problems.

Students and researchers will find the step by step approach  and the open problems in the book particularly useful.

 

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 32,99 €
price for Spain (gross)
  • ISBN 978-0-387-87683-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Softcover 41,59 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Fronts in Random Media
Authors
Series Title
Surveys and Tutorials in the Applied Mathematical Sciences
Series Volume
5
Copyright
2009
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-87683-2
DOI
10.1007/978-0-387-87683-2
Softcover ISBN
978-0-387-87682-5
Series ISSN
2199-4765
Edition Number
1
Number of Pages
X, 162
Topics