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Dynamics of Nonlinear Reaction-Diffu
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eBay item number:355345026392
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- Dynamics of Nonlinear Reaction-Diffusion Equations With Small Lev
- ISBN
- 9783319008271
- Subject Area
- Science, Mathematics
- Publication Name
- Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lvy Noise
- Item Length
- 9.3 in
- Publisher
- Springer International Publishing A&G
- Subject
- Probability & Statistics / General, System Theory, Differential Equations / Partial, Mathematical Analysis
- Publication Year
- 2013
- Series
- Lecture Notes in Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Width
- 6.1 in
- Item Weight
- 99.4 Oz
- Number of Pages
- Xiv, 165 Pages
About this product
Product Information
This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the expected exit and transition times between the domains of attraction depend polynomially on the noise intensity in the small intensity limit. Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states.
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3319008277
ISBN-13
9783319008271
eBay Product ID (ePID)
169847276
Product Key Features
Publication Name
Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lvy Noise
Format
Trade Paperback
Language
English
Subject
Probability & Statistics / General, System Theory, Differential Equations / Partial, Mathematical Analysis
Publication Year
2013
Series
Lecture Notes in Mathematics Ser.
Type
Textbook
Subject Area
Science, Mathematics
Number of Pages
Xiv, 165 Pages
Dimensions
Item Length
9.3 in
Item Width
6.1 in
Item Weight
99.4 Oz
Additional Product Features
Intended Audience
Scholarly & Professional
Series Volume Number
2085
Number of Volumes
1 Vol.
Lc Classification Number
Qa273.A1-274.9
Table of Content
Introduction.- The fine dynamics of the Chafee- Infante equation.- The stochastic Chafee- Infante equation.- The small deviation of the small noise solution.- Asymptotic exit times.- Asymptotic transition times.- Localization and metastability.- The source of stochastic models in conceptual climate dynamics.
Copyright Date
2013
Dewey Decimal
515.353
Dewey Edition
23
Illustrated
Yes
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eBay item number:355345026392
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Jessup, Maryland, United States
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