Local solutions for stochastic Navier Stokes equations

Alain Bensoussan; Jens Frehse

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2000)

  • Volume: 34, Issue: 2, page 241-273
  • ISSN: 0764-583X

How to cite

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Bensoussan, Alain, and Frehse, Jens. "Local solutions for stochastic Navier Stokes equations." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 34.2 (2000): 241-273. <http://eudml.org/doc/193985>.

@article{Bensoussan2000,
author = {Bensoussan, Alain, Frehse, Jens},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {deterministic Navier-Stokes equations; stochastic Navier Stokes equations; smoothness; random parameter; local solution; stochastic differential equations},
language = {eng},
number = {2},
pages = {241-273},
publisher = {Dunod},
title = {Local solutions for stochastic Navier Stokes equations},
url = {http://eudml.org/doc/193985},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Bensoussan, Alain
AU - Frehse, Jens
TI - Local solutions for stochastic Navier Stokes equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2000
PB - Dunod
VL - 34
IS - 2
SP - 241
EP - 273
LA - eng
KW - deterministic Navier-Stokes equations; stochastic Navier Stokes equations; smoothness; random parameter; local solution; stochastic differential equations
UR - http://eudml.org/doc/193985
ER -

References

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  1. [1] A. Bensoussan, Stochastic Navier Stokes Equations. Acta. Appl. Math. 38 (1995) 267-304. Zbl0836.35115MR1326637
  2. [2] A. Bensoussan and R. Temam, Equations stochastiques du type Navier-Stokes. J. Func. Anal. 13 (1973) 195-222. Zbl0265.60094MR348841
  3. [3] G. Da Prato, J. Zabczyk, Stochastic Equations in Infinite Dimensions, Cambridge University Press, Cambridge (1992). Zbl0761.60052MR1207136
  4. [4] F. Flandoli and D. Gatarek, Martingale and Stationary Solutions for Navier-Stokes Equations, Preprints di Matematica - n° 14 (1994). Zbl0831.60072
  5. [5] N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes, North Holland, Amsterdam (1981). Zbl0495.60005MR1011252
  6. [6] I. Karatzas and S. E. Shereve, Brownian Motion and Stochastic Calculus, Springer-Verlag, New York (1988). Zbl0638.60065MR917065
  7. [7] J. L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris (1969). Zbl0189.40603MR259693
  8. [8] R. Temam, Navier-Stokes Equations, Theory and Numerical Analysis, North Holland (1977). Zbl0383.35057MR609732
  9. [9] W. von Wahl, The Equations of Navier-Stokes and Abstract Parabolic Equations. Aspects of Mathematics, Fr. Viewig & Sohn, Braunschweig/Wiesbaden (1985). MR832442

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