9783319008288
IR
EN-52380
انگلیسی
IR
The Dynamics of Nonlinear Reaction-Diffusion Equations with Small L?شvy Nois
[Book]
:[delta
/ by Arnaud Debussche, Michael H?╢gele, Peter Imkeller
fa
Cham
: Springer International Publishing :Imprint: Springer,
, 2013.
XIII, 163 p. 9 illus., 8 illus. in color., online resource.
(Lecture Notes in Mathematics,0075-8434
; 2085)
Electronic
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.
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.?╗╣
Lecture Notes in Mathematics,0075-8434
2085
Mathematics
Differentiable dynamical systems
Differential equations, partial
Distribution (Probability theory)
Electronic books
E-BOOK
Debussche, Arnaud.
H?╢gele, Michael
Imkeller, Peter
SpringerLink (Online service)
ایران
9783319008271.pdf
عادی
عادی
9783319008271.pdf
متن
old catalog
e
BL
1
a
Y
