About: STOCHASTIC POROUS MEDIA EQUATION DRIVEN BY FRACTIONAL BROWNIAN MOTION

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1142/S021949371350010X
Description	The present work deals with stochastic porous media equation with multiplicative noise, driven by fractional Brownian motion B-(H) with Hurst index H > 1/2. The stochastic integral with integrator B-(H) is defined pathwise following the theory developed by Zahle [24], based on the so-called fractional derivatives. It is shown that there is a one-to-one correspondence between solutions to the stochastic equation and solutions to its deterministic counterpart. By means of this correspondence and exploiting properties of the deterministic porous media equation, the existence, uniqueness, regularity and long-time properties of the solution is established. We also prove that the solution forms a random dynamical system in an appropriate function space. The present work deals with stochastic porous media equation with multiplicative noise, driven by fractional Brownian motion B-(H) with Hurst index H > 1/2. The stochastic integral with integrator B-(H) is defined pathwise following the theory developed by Zahle [24], based on the so-called fractional derivatives. It is shown that there is a one-to-one correspondence between solutions to the stochastic equation and solutions to its deterministic counterpart. By means of this correspondence and exploiting properties of the deterministic porous media equation, the existence, uniqueness, regularity and long-time properties of the solution is established. We also prove that the solution forms a random dynamical system in an appropriate function space. (en)
Title	STOCHASTIC POROUS MEDIA EQUATION DRIVEN BY FRACTIONAL BROWNIAN MOTION STOCHASTIC POROUS MEDIA EQUATION DRIVEN BY FRACTIONAL BROWNIAN MOTION (en)
skos:prefLabel	STOCHASTIC POROUS MEDIA EQUATION DRIVEN BY FRACTIONAL BROWNIAN MOTION STOCHASTIC POROUS MEDIA EQUATION DRIVEN BY FRACTIONAL BROWNIAN MOTION (en)
skos:notation	RIV/00216208:11320/13:10190421!RIV14-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GAP201/10/0752)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Maslowski, Bohdan Bártek, Jan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	108033
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/13:10190421
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	random dynamical system; stochastic porous media equation; Fractional Brownian motion (en)
http://linked.open.../riv/klicoveSlovo	Fractional Brownian motion random dynamical system stochastic porous media equation
http://linked.open...odStatuVydavatele	SG - Singapurská republika
http://linked.open...ontrolniKodProRIV	[2094CBA91B28]
http://linked.open...i/riv/nazevZdroje	Stochastics and Dynamics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Stochastic Space-Time Systems
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	13
http://linked.open...iv/tvurceVysledku	Maslowski, Bohdan Bártek, Jan Garrido-Atienza, Maria J.
http://linked.open...ain/vavai/riv/wos	000325407900007
issn	0219-4937
number of pages	33 (xsd:int)
http://bibframe.org/vocab/doi	10.1142/S021949371350010X
http://localhost/t...ganizacniJednotka	11320

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