| 000 -LEADER |
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| fixed length control field |
nam a22 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240216b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780387876825 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.23 |
| Item number |
XIN |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Xin, Jack |
| 245 ## - TITLE STATEMENT |
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| Title |
An introduction to fronts in random media |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Springer, |
| Place of publication, distribution, etc |
New York : |
| Date of publication, distribution, etc |
2009 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
x, 159 p. ; |
| Other physical details |
ill., |
| Dimensions |
24 cm. |
| 365 ## - TRADE PRICE |
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| Price amount |
39.99 |
| Price type code |
€ |
| Unit of pricing |
94.80 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Surveys and tutorials in the applied mathematical sciences |
| Volume number/sequential designation |
v.5 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Stochastic processes |
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| Topical term or geographic name as entry element |
Wave motion |
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| Topical term or geographic name as entry element |
Asymptotic front speed |
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| Topical term or geographic name as entry element |
Burgers equation |
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| Topical term or geographic name as entry element |
Central limit theorem |
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| Topical term or geographic name as entry element |
Degree theory |
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| Topical term or geographic name as entry element |
Feynman-Kac formula |
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| Topical term or geographic name as entry element |
G-equation |
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| Topical term or geographic name as entry element |
Hamilton Jacobi equation |
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| Topical term or geographic name as entry element |
Kardar-Parisi-Zhang equation |
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| Topical term or geographic name as entry element |
Lax-Oleink formula |
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| Topical term or geographic name as entry element |
Maximum principles |
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| Topical term or geographic name as entry element |
Nonlinear eigenvalue problem |
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| Topical term or geographic name as entry element |
Parabolic Anderson problem |
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| Topical term or geographic name as entry element |
Rankine-Hugoniot condition |
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| Topical term or geographic name as entry element |
Subadditive ergodic theorem |
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| Topical term or geographic name as entry element |
Viscosity solution |
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| Topical term or geographic name as entry element |
Fluid convection |
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| Topical term or geographic name as entry element |
Noise effects |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |