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The Resource An introduction to fronts in random media, by Jack Xin

An introduction to fronts in random media, by Jack Xin

Label
An introduction to fronts in random media
Title
An introduction to fronts in random media
Statement of responsibility
by Jack Xin
Creator
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Xin, Jack
Dewey number
519.23
Index
index present
Language note
English
LC call number
QA274.25
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Surveys and tutorials in the applied mathematical sciences
Series volume
5
http://library.link/vocab/subjectName
  • Stochastic processes
  • Wave-motion, Theory of
  • Wave-motion, Theory of
  • Stochastic processes
  • Stochastic processes
  • Wave-motion, Theory of
Label
An introduction to fronts in random media, by Jack Xin
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
""Preface""; ""Contents""; ""Chapter 1 Fronts in Homogeneous Media""; ""Chapter 2 Fronts in Periodic Media""; ""Chapter 3 Fronts in Random Burgers Equations""; ""Chapter 4 Fronts and Stochastic Homogenization of Hamilton�Jacobi Equations""; ""Chapter 5 KPP Fronts in Random Media""; ""References""; ""Index""
Control code
432708458
Dimensions
unknown
Extent
1 online resource.
Form of item
online
Isbn
9780387876825
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-87683-2
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-87682-5
Specific material designation
remote
System control number
(OCoLC)432708458
Label
An introduction to fronts in random media, by Jack Xin
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
""Preface""; ""Contents""; ""Chapter 1 Fronts in Homogeneous Media""; ""Chapter 2 Fronts in Periodic Media""; ""Chapter 3 Fronts in Random Burgers Equations""; ""Chapter 4 Fronts and Stochastic Homogenization of Hamilton�Jacobi Equations""; ""Chapter 5 KPP Fronts in Random Media""; ""References""; ""Index""
Control code
432708458
Dimensions
unknown
Extent
1 online resource.
Form of item
online
Isbn
9780387876825
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-87683-2
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-87682-5
Specific material designation
remote
System control number
(OCoLC)432708458

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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