Conceptual analysis and random attractor for dissipative random dynamical systems

Missing Li Yuhong; Zdzislaw Brzezniak; Wenting Zhou Jianzhong

Conceptual analysis and random attractor for dissipative random dynamical systems

Missing Li Yuhong, Zdzislaw Brzezniak, Wenting Zhou Jianzhong

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The aim of this work is to understand better the long time behaviour of asymptotically compact random dynamical systems (RDS), which can be generated by solutions of some stochastic partial differential equations on unbounded domains. The conceptual analysis for the long time behavior of RDS will be done through some examples. An application of those analysis will be demonstrated through the proof of the existence of random attractors for asymptotically compact dissipative RDS.

Original language	English
Pages (from-to)	253-268
Number of pages	16
Journal	Acta mathematica scientia
Volume	28
Issue number	2
Publication status	Published - Apr 2008

Keywords

random dynamical systems
asymptotic compactness
dissipativity
random attractor
Sobolev compact embedding
UNBOUNDED-DOMAINS
GLOBAL ATTRACTOR
STOKES EQUATIONS

Cite this

@article{46b32d4c67b342359442d8d8b093851a,

title = "Conceptual analysis and random attractor for dissipative random dynamical systems",

abstract = "The aim of this work is to understand better the long time behaviour of asymptotically compact random dynamical systems (RDS), which can be generated by solutions of some stochastic partial differential equations on unbounded domains. The conceptual analysis for the long time behavior of RDS will be done through some examples. An application of those analysis will be demonstrated through the proof of the existence of random attractors for asymptotically compact dissipative RDS.",

keywords = "random dynamical systems, asymptotic compactness, dissipativity, random attractor, Sobolev compact embedding, UNBOUNDED-DOMAINS, GLOBAL ATTRACTOR, STOKES EQUATIONS",

author = "{Li Yuhong}, Missing and Zdzislaw Brzezniak and {Zhou Jianzhong}, Wenting",

year = "2008",

month = apr,

language = "English",

volume = "28",

pages = "253--268",

journal = "Acta mathematica scientia",

issn = "0252-9602",

publisher = "Elsevier",

number = "2",

}

TY - JOUR

T1 - Conceptual analysis and random attractor for dissipative random dynamical systems

AU - Li Yuhong, Missing

AU - Brzezniak, Zdzislaw

AU - Zhou Jianzhong, Wenting

PY - 2008/4

Y1 - 2008/4

N2 - The aim of this work is to understand better the long time behaviour of asymptotically compact random dynamical systems (RDS), which can be generated by solutions of some stochastic partial differential equations on unbounded domains. The conceptual analysis for the long time behavior of RDS will be done through some examples. An application of those analysis will be demonstrated through the proof of the existence of random attractors for asymptotically compact dissipative RDS.

AB - The aim of this work is to understand better the long time behaviour of asymptotically compact random dynamical systems (RDS), which can be generated by solutions of some stochastic partial differential equations on unbounded domains. The conceptual analysis for the long time behavior of RDS will be done through some examples. An application of those analysis will be demonstrated through the proof of the existence of random attractors for asymptotically compact dissipative RDS.

KW - random dynamical systems

KW - asymptotic compactness

KW - dissipativity

KW - random attractor

KW - Sobolev compact embedding

KW - UNBOUNDED-DOMAINS

KW - GLOBAL ATTRACTOR

KW - STOKES EQUATIONS

UR - http://www.scopus.com/inward/record.url?scp=42049106573&partnerID=8YFLogxK

M3 - Article

SN - 0252-9602

VL - 28

SP - 253

EP - 268

JO - Acta mathematica scientia

JF - Acta mathematica scientia

IS - 2

ER -

Conceptual analysis and random attractor for dissipative random dynamical systems

Abstract

Keywords

Other files and links

Cite this