INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783319008288
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-52380
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
The Dynamics of Nonlinear Reaction-Diffusion Equations with Small L?شvy Nois
General Material Designation
[Book]
Other Title Information
:[delta
First Statement of Responsibility
/ by Arnaud Debussche, Michael H?╢gele, Peter Imkeller
fa
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham
Name of Publisher, Distributor, etc.
: Springer International Publishing :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2013.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XIII, 163 p. 9 illus., 8 illus. in color., online resource.
SERIES
Series Title
(Lecture Notes in Mathematics,0075-8434
Volume Designation
; 2085)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
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.
Text of Note
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.?╗╣
SERIES
Title
Lecture Notes in Mathematics,0075-8434
Volume Number
2085
TOPICAL NAME USED AS SUBJECT
Mathematics
Differentiable dynamical systems
Differential equations, partial
Distribution (Probability theory)
Electronic books
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Debussche, Arnaud.
PERSONAL NAME - SECONDARY RESPONSIBILITY
H?╢gele, Michael
Imkeller, Peter
SpringerLink (Online service)
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9783319008271.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9783319008271.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
