Verfügbarkeit: Stochastic PDEs and dynamics | Technische Universität München

Stochastic PDEs and dynamics:

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Bibliographische Detailangaben
Beteiligte Personen:	Guo, Boling 1936- (VerfasserIn), Gao, Hongjun (VerfasserIn), Pu, Xueke (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin ; Boston De Gruyter [2017]
Schlagwörter:	Stochastic partial differential equations Dynamics Stochastische partielle Differentialgleichung
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029269105&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Includes bibliographical references and index
Umfang:	VIII, 220 Seiten
ISBN:	9783110493894 9783110495102

Internformat

MARC


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Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 606f 2016 A 5835
DE-BY-TUM_katkey	2237285
DE-BY-TUM_location	01
DE-BY-TUM_media_number	040008017616
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adam_text	CONTENTS 1 PRELIMINARIES * 1 1.1 PRELIMINARIES IN PROBABILITY * 1 1.1.1 PROBABILITY SPACE * 1 1.1.2 RANDOM VARIABLE AND PROBABILITY DISTRIBUTION 1.1.3 MATHEMATICAL EXPECTATION AND MOMENTUM * 1.2 SOME PRELIMINARIES OF STOCHASTIC PROCESS * 1.2.1 MARKOV PROCESS* 15 1.2.2 PRELIMINARIES ON ERGODIC THEORY * 22 1.3 MARTINGALE * 25 1.4 WIENER PROCESS AND BROWN MOTION * 33 1.5 POISSON PROCESS * 39 1.6 L§VY PROCESS * 41 1.6.1 CHARACTERISTIC FUNCTION AND INFINITE DIVISIBILITY 1.6.2 L§VY PROCESS * 42 1.6.3 L6VY-LTD DECOMPOSITION * 44 1.7 THE FRACTIONAL BROWNIAN MOTION * 47 2 THE STOCHASTIC INTEGRAL AND LTD FORMULA * 49 2.1 STOCHASTIC INTEGRAL* 49 2.1.1 LTD INTEGRAL * 50 2.1.2 THE STOCHASTIC INTEGRAL IN GENERAL CASE * 53 2.1.3 POISSON STOCHASTIC INTEGRAL * 55 2.2 ITO FORMULA * 56 2.3 THE INFINITE-DIMENSIONAL CASE * 61 2.3.1 Q-WIENER PROCESS AND THE STOCHASTIC INTEGRAL 2.3.2 LTD FORMULA * 65 2.4 NUCLEAR OPERATOR AND HS OPERATOR* 67 3 OU PROCESSES AND SDES * 70 3.1 OMSTEIN-UHLENBECK PROCESSES* 70 3.2 LINEAR SDES * 74 3.3 NONLINEAR SDES * 79 4 RANDOM ATTRACTORS* 82 4.1 DETERMINATE NONAUTONOMOUS SYSTEMS * 82 4.2 STOCHASTIC DYNAMICAL SYSTEMS* 84 5 APPLICATIONS* 88 5.1 STOCHASTIC GL EQUATION * 88 5.1.1 THE EXISTENCE OF RANDOM ATTRACTOR * 90 5.1.2 HAUSDORFF DIMENSION OF RANDOM ATTRACTOR* 5.1.3 GENERALIZED SGLE * 100 VIII * CONTENTS 5.2 ERGODICITY FOR SGL WITH DEGENERATE NOISE* 101 5.2.1 MOMENTUM ESTIMATE AND PATHWISE UNIQUENESS * 104 5.2.2 INVARIANT MEASURES ----- 111 5.2.3 ERGODICITY * 115 5.2.4 SOME REMARKS * 129 5.3 STOCHASTIC DAMPED FORCED OSTROVSKY EQUATION * 129 5.3.1 INTRODUCTION * 129 5.3.2 WELL-POSEDNESS* 131 5.3.3 UNIFORM ESTIMATES OF SOLUTIONS* 141 5.3.4 ASYMPTOTIC COMPACTNESS AND RANDOM ATTRACTORS * 150 5.4 SIMPLIFIED QUASI-GEOSTROPHIC MODEL * 153 5.4.1 THE EXISTENCE AND UNIQUENESS OF SOLUTION* 155 5.4.2 EXISTENCE OF RANDOM ATTRACTORS * 161 5.5 STOCHASTIC PRIMITIVE EQUATIONS ----- 167 5.5.1 STOCHASTIC 2D PRIMITIVE EQUATIONS WITH L6VY NOISE * 168 5.5.2 LARGE DEVIATION FOR STOCHASTIC PRIMITIVE EQUATIONS* 188 BIBLIOGRAPHY ----- 207 INDEX* 219
any_adam_object	1
author	Guo, Boling 1936- Gao, Hongjun Pu, Xueke
author_GND	(DE-588)1073302334 (DE-588)1113615451
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ctrlnum	(OCoLC)965508306 (DE-599)BVBBV043858954
dewey-full	519.2/2
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	519 - Probabilities and applied mathematics
dewey-raw	519.2/2
dewey-search	519.2/2
dewey-sort	3519.2 12
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
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id	DE-604.BV043858954
illustrated	Not Illustrated
indexdate	2024-12-20T17:47:00Z
institution	BVB
isbn	9783110493894 9783110495102
language	English
lccn	016042702
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-029269105
oclc_num	965508306
open_access_boolean
owner	DE-703 DE-384 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-634 DE-83
owner_facet	DE-703 DE-384 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-634 DE-83
physical	VIII, 220 Seiten
publishDate	2017
publishDateSearch	2017
publishDateSort	2017
publisher	De Gruyter
record_format	marc
spellingShingle	Guo, Boling 1936- Gao, Hongjun Pu, Xueke Stochastic PDEs and dynamics Stochastic partial differential equations Dynamics Stochastische partielle Differentialgleichung (DE-588)4135969-0 gnd
subject_GND	(DE-588)4135969-0
title	Stochastic PDEs and dynamics
title_auth	Stochastic PDEs and dynamics
title_exact_search	Stochastic PDEs and dynamics
title_full	Stochastic PDEs and dynamics Boling Guo, Hongjun Gao, Xueke Pu
title_fullStr	Stochastic PDEs and dynamics Boling Guo, Hongjun Gao, Xueke Pu
title_full_unstemmed	Stochastic PDEs and dynamics Boling Guo, Hongjun Gao, Xueke Pu
title_short	Stochastic PDEs and dynamics
title_sort	stochastic pdes and dynamics
topic	Stochastic partial differential equations Dynamics Stochastische partielle Differentialgleichung (DE-588)4135969-0 gnd
topic_facet	Stochastic partial differential equations Dynamics Stochastische partielle Differentialgleichung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029269105&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT guoboling stochasticpdesanddynamics AT gaohongjun stochasticpdesanddynamics AT puxueke stochasticpdesanddynamics

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