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Stochastically Forced Compressible Fluid Flows

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Title: Stochastically Forced Compressible Fluid Flows
Description: This book contains a first systematic study of compressible fluid flows subject to stochastic forcing. The bulk is the existence of dissipative martingale solutions to the stochastic compressible Navier-Stokes equations. These solutions are weak in the probabilistic sense as well as in the analytical sense. Moreover, the evolution of the energy can be controlled in terms of the initial energy. We analyze the behavior of solutions in short-time (where unique smooth solutions exists) as well as in the long term (existence of stationary solutions). Finally, we investigate the asymptotics with respect to several parameters of the model based on the energy inequality. ContentsPart I: Preliminary results Elements of functional analysis Elements of stochastic analysis Part II: Existence theory Modeling fluid motion subject to random effects Global existence Local well-posedness Relative energy inequality and weak–strong uniqueness Part III: Applications Stationary solutions Singular limits
Authors: Dominic Breit, Eduard Feireisl, Martina Hofmanová
Resource Type: eBook.
Subjects: Fluid dynamics
Categories: MATHEMATICS / Differential Equations / Partial, MATHEMATICS / Applied, SCIENCE / Physics / Mathematical & Computational, SCIENCE / Mechanics / General, SCIENCE / Mechanics / Fluids, SCIENCE / Mechanics / Hydrodynamics
Database: eBook Collection (EBSCOhost)
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An: 1691653
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PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1083.55249023438
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  Data: Stochastically Forced Compressible Fluid Flows
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  Data: This book contains a first systematic study of compressible fluid flows subject to stochastic forcing. The bulk is the existence of dissipative martingale solutions to the stochastic compressible Navier-Stokes equations. These solutions are weak in the probabilistic sense as well as in the analytical sense. Moreover, the evolution of the energy can be controlled in terms of the initial energy. We analyze the behavior of solutions in short-time (where unique smooth solutions exists) as well as in the long term (existence of stationary solutions). Finally, we investigate the asymptotics with respect to several parameters of the model based on the energy inequality. ContentsPart I: Preliminary results Elements of functional analysis Elements of stochastic analysis Part II: Existence theory Modeling fluid motion subject to random effects Global existence Local well-posedness Relative energy inequality and weak–strong uniqueness Part III: Applications Stationary solutions Singular limits
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  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22Dominic+Breit%22">Dominic Breit</searchLink><br /><searchLink fieldCode="AR" term="%22Eduard+Feireisl%22">Eduard Feireisl</searchLink><br /><searchLink fieldCode="AR" term="%22Martina+Hofmanová%22">Martina Hofmanová</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink>
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RecordInfo BibRecord:
  BibEntity:
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      – Code: 532.05
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Fluid dynamics
        Type: general
    Titles:
      – TitleFull: Stochastically Forced Compressible Fluid Flows
        Type: main
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          Name:
            NameFull: Dominic Breit
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            NameFull: Eduard Feireisl
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            NameFull: Martina Hofmanová
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            NameFull: Dominic Breit
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            NameFull: Eduard Feireisl
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            NameFull: Martina Hofmanová
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2018
            – D: 05
              M: 04
              Type: profile
              Y: 2018
          Identifiers:
            – Type: isbn-print
              Value: 9783110490503
            – Type: isbn-electronic
              Value: 9783110490763
            – Type: isbn-electronic
              Value: 9783110492552
            – Type: isbn-electronic
              Value: 9783110492569
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              Value: 00003
          Titles:
            – TitleFull: Stochastically Forced Compressible Fluid Flows
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