Report
View in EDS

Continuous Data Assimilation For the 3D Ladyzhenskaya Model: Analysis and Computations

Bibliographic Details
Title: Continuous Data Assimilation For the 3D Ladyzhenskaya Model: Analysis and Computations
Authors: Cao, Yu, Giorgini, Andrea, Jolly, Michael, Pakzad, Ali
Publication Year: 2021
Collection: Mathematics
Physics (Other)
Subject Terms: Mathematics - Dynamical Systems, Mathematics - Analysis of PDEs, Physics - Computational Physics, Physics - Fluid Dynamics, 34D06, 76A05, 76D03
More Details: We analyze continuous data assimilation by nudging for the 3D Ladyzhenskaya equations. The analysis provides conditions on the spatial resolution of the observed data that guarantee synchronization to the reference solution associated with the observed, spatially coarse data. This synchronization holds even though it is not known whether the reference solution, with initial data in $L^2$, is unique; a particular reference solution is determined by the observed, coarse data. The efficacy of the algorithm in both 2D and 3D is demonstrated by numerical computations.
Comment: 33 pages, 8 figures
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2108.03513
Accession Number: edsarx.2108.03513
Database: arXiv
FullText Text:
  Availability: 0
CustomLinks:
  – Url: http://arxiv.org/abs/2108.03513
    Name: EDS - Arxiv
    Category: fullText
    Text: View this record from Arxiv
    MouseOverText: View this record from Arxiv
  – Url: https://resolver.ebsco.com/c/xy5jbn/result?sid=EBSCO:edsarx&genre=article&issn=&ISBN=&volume=&issue=&date=20210807&spage=&pages=&title=Continuous Data Assimilation For the 3D Ladyzhenskaya Model: Analysis and Computations&atitle=Continuous%20Data%20Assimilation%20For%20the%203D%20Ladyzhenskaya%20Model%3A%20Analysis%20and%20Computations&aulast=Cao%2C%20Yu&id=DOI:
    Name: Full Text Finder (for New FTF UI) (s8985755)
    Category: fullText
    Text: Find It @ SCU Libraries
    MouseOverText: Find It @ SCU Libraries
Header DbId: edsarx
DbLabel: arXiv
An: edsarx.2108.03513
RelevancyScore: 1017
AccessLevel: 3
PubType: Report
PubTypeId: report
PreciseRelevancyScore: 1016.91424560547
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Continuous Data Assimilation For the 3D Ladyzhenskaya Model: Analysis and Computations
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Cao%2C+Yu%22">Cao, Yu</searchLink><br /><searchLink fieldCode="AR" term="%22Giorgini%2C+Andrea%22">Giorgini, Andrea</searchLink><br /><searchLink fieldCode="AR" term="%22Jolly%2C+Michael%22">Jolly, Michael</searchLink><br /><searchLink fieldCode="AR" term="%22Pakzad%2C+Ali%22">Pakzad, Ali</searchLink>
– Name: DatePubCY
  Label: Publication Year
  Group: Date
  Data: 2021
– Name: Subset
  Label: Collection
  Group: HoldingsInfo
  Data: Mathematics<br />Physics (Other)
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Mathematics+-+Dynamical+Systems%22">Mathematics - Dynamical Systems</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+-+Analysis+of+PDEs%22">Mathematics - Analysis of PDEs</searchLink><br /><searchLink fieldCode="DE" term="%22Physics+-+Computational+Physics%22">Physics - Computational Physics</searchLink><br /><searchLink fieldCode="DE" term="%22Physics+-+Fluid+Dynamics%22">Physics - Fluid Dynamics</searchLink><br /><searchLink fieldCode="DE" term="%2234D06%2C+76A05%2C+76D03%22">34D06, 76A05, 76D03</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: We analyze continuous data assimilation by nudging for the 3D Ladyzhenskaya equations. The analysis provides conditions on the spatial resolution of the observed data that guarantee synchronization to the reference solution associated with the observed, spatially coarse data. This synchronization holds even though it is not known whether the reference solution, with initial data in $L^2$, is unique; a particular reference solution is determined by the observed, coarse data. The efficacy of the algorithm in both 2D and 3D is demonstrated by numerical computations.<br />Comment: 33 pages, 8 figures
– Name: TypeDocument
  Label: Document Type
  Group: TypDoc
  Data: Working Paper
– Name: URL
  Label: Access URL
  Group: URL
  Data: <link linkTarget="URL" linkTerm="http://arxiv.org/abs/2108.03513" linkWindow="_blank">http://arxiv.org/abs/2108.03513</link>
– Name: AN
  Label: Accession Number
  Group: ID
  Data: edsarx.2108.03513
PLink https://login.libproxy.scu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsarx&AN=edsarx.2108.03513
RecordInfo BibRecord:
  BibEntity:
    Subjects:
      – SubjectFull: Mathematics - Dynamical Systems
        Type: general
      – SubjectFull: Mathematics - Analysis of PDEs
        Type: general
      – SubjectFull: Physics - Computational Physics
        Type: general
      – SubjectFull: Physics - Fluid Dynamics
        Type: general
      – SubjectFull: 34D06, 76A05, 76D03
        Type: general
    Titles:
      – TitleFull: Continuous Data Assimilation For the 3D Ladyzhenskaya Model: Analysis and Computations
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Cao, Yu
      – PersonEntity:
          Name:
            NameFull: Giorgini, Andrea
      – PersonEntity:
          Name:
            NameFull: Jolly, Michael
      – PersonEntity:
          Name:
            NameFull: Pakzad, Ali
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 07
              M: 08
              Type: published
              Y: 2021
ResultId 1