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Hydrodynamics, Probability and the Geometry of the Diffeomorphisms Group

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Book cover Seminar on Stochastic Analysis, Random Fields and Applications VI

Part of the book series: Progress in Probability ((PRPR,volume 63))

Abstract

We characterize the solution of Navier-Stokes equation as a stochastic geodesic on the diffeomorphisms group, thus generalizing Arnold’s description of the Euler flow.

Mathematics Subject Classification (2000). Primary 37L55; Secondary 35Q30, 58E30, 58J65, 60J60, 76D05.

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Author information

Authors and Affiliations

  1. Dep. Matemática I.S.T. (TUL), Av. Rovisco Pais, 1049-001, Lisboa, Portugal

    Ana Bela Cruzeiro

  2. Grupo de Física-Matemática da Universidade de Lisboa, Av. Prof. Gama Pinto, 2, 1649-003, Lisboa, Portugal

    Ana Bela Cruzeiro

Authors
  1. Ana Bela Cruzeiro
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Correspondence to Ana Bela Cruzeiro .

Editor information

Editors and Affiliations

  1. Fac. Sciences de Base (FSB), Institut de Mathématiques (IMA), Ecole Polytechnique Fédérale de Lausanne, Lausanne, 1015, Switzerland

    Robert Dalang

  2. Institut Élie Cartan IECN, Nancy Université, Vandoeuvre-les-Nancy CX, France

    Marco Dozzi

  3. , Unité de Mathématiques appliquées, Ecole Nationale Supérieure des Technique, Boulevard Victor 32, Paris Cedex 15, 75739, France

    Francesco Russo

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Cruzeiro, A.B. (2011). Hydrodynamics, Probability and the Geometry of the Diffeomorphisms Group. In: Dalang, R., Dozzi, M., Russo, F. (eds) Seminar on Stochastic Analysis, Random Fields and Applications VI. Progress in Probability, vol 63. Springer, Basel. https://doi.org/10.1007/978-3-0348-0021-1_5

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