The Resource An introduction to fronts in random media, by Jack Xin
An introduction to fronts in random media, by Jack Xin
Resource Information
The item An introduction to fronts in random media, by Jack Xin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item An introduction to fronts in random media, by Jack Xin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource.
- 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""
- Isbn
- 9780387876825
- Label
- An introduction to fronts in random media
- Title
- An introduction to fronts in random media
- Statement of responsibility
- by Jack Xin
- 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
- 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
- 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
- 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/An-introduction-to-fronts-in-random-media-by/3m0-yZQAmPY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/An-introduction-to-fronts-in-random-media-by/3m0-yZQAmPY/">An introduction to fronts in random media, by Jack Xin</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
