<div class="csl-bib-body">
<div class="csl-entry">Kremp, H. K. (2023, September 19). <i>A nonlinear SPDE approximation of the Dean-Kawasaki equation</i> [Presentation]. Second Berlin-Leipzig Workshop on Fluctuating Hydrodynamics, Freie Universität Berlin, Germany. http://hdl.handle.net/20.500.12708/188715</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/188715
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dc.description.abstract
In this talk we consider a nonlinear SPDE approximation of the Dean-Kawasaki equation for independent particles. Our approximation satisfies the physical constraints of the particle system, i.e. its solution is a probability measure for all times (preservation of positivity and mass conservation). Using a duality argument, we prove that the weak error between particle system and nonlinear SPDE is of the order N{-1-1/(d/2+1)} log(N). Along the way we show well-posedness, a comparison principle and an entropy estimate for a class of nonlinear regularized Dean-Kawasaki equations with Itô noise.
This is joint work together with Ana Djurdjevac and Nicolas Perkowski.
en
dc.description.sponsorship
FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
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dc.subject
Dean-Kawasaki equation
en
dc.subject
weak error estimates
en
dc.title
A nonlinear SPDE approximation of the Dean-Kawasaki equation
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.relation.grantno
P34992-N
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dc.type.category
Presentation
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tuw.publication.invited
invited
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tuw.project.title
Regularisierung durch Rauschen: Diskrete und stetige Systeme
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E101-01 - Forschungsbereich Analysis
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tuw.event.name
Second Berlin-Leipzig Workshop on Fluctuating Hydrodynamics
en
tuw.event.startdate
19-09-2023
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tuw.event.enddate
20-09-2023
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Freie Universität Berlin
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tuw.event.country
DE
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tuw.event.presenter
Kremp, Helena Katharina
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.openairecristype
http://purl.org/coar/resource_type/c_18cf
-
item.openairecristype
http://purl.org/coar/resource_type/c_18cf
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item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.openairetype
Presentation
-
item.openairetype
Vortrag
-
item.cerifentitytype
Publications
-
item.cerifentitytype
Publications
-
item.languageiso639-1
en
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crisitem.project.funder
FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
-
crisitem.project.grantno
P34992-N
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crisitem.author.dept
E101-01 - Forschungsbereich Analysis
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crisitem.author.parentorg
E101 - Institut für Analysis und Scientific Computing
