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Stability and Vanishing Viscosity for a Class of SPDEs Related to Turbulent Transport

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Stochastic Analysis and Related Topics VI

Part of the book series: Progress in Probability ((PRPR,volume 42))

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Abstract

We prove a stability result for a class of stochastic SPDEs related to turbulent transport. This result is then applied to studying the difference in behavior of the vanishing viscosity problem for SPDEs in the Itô and Stratonovich sense.

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References

  1. Pao-Liu Chow, Generalized Solution of Some Parabolic Equations with a Random Drift, J. Appl. Math. Optimization 20 (1989), 81–96.

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  2. Thomas Deck and Jürgen Potthoff, On a Class of Stochoastic Partial Differential Equations Related to Turbulent Transport, Manuscript (1995).

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  6. Jürgen Potthoff, White Noise Approach to Parabolic Stochastic Partial Differential Equations, in: Stochastic Analysis and Applications in Physics, A.I. Cardoso, M. de Faria, J. Potthoff, R. Sénéor, L. Streit (eds), Kluwer Academic Publishers, (1994).

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Authors
  1. Gjermund Våge
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Editors and Affiliations

  1. Département Réseaux, École Nationale Supérieure des Télécommunications, 46, rue Barrault, 75634, Paris Cedex 13, France

    Laurent Decreusefond  & Ali Süleyman Üstünel  & 

  2. Dept. of Mathematics, University of Oslo, Box 1053 Blindern, N-0316, Oslo, Norway

    Bernt Øksendal

  3. Central Bureau of Statistics, Norwegian Computing Center, Box 8131 DEP, N-0316, Oslo, Norway

    Jon Gjerde

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© 1998 Springer Science+Business Media New York

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Våge, G. (1998). Stability and Vanishing Viscosity for a Class of SPDEs Related to Turbulent Transport. In: Decreusefond, L., Øksendal, B., Gjerde, J., Üstünel, A.S. (eds) Stochastic Analysis and Related Topics VI. Progress in Probability, vol 42. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-2022-0_19

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  • DOI: https://doi.org/10.1007/978-1-4612-2022-0_19

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7385-1

  • Online ISBN: 978-1-4612-2022-0

  • eBook Packages: Springer Book Archive

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