This work concerns the incompressible Navier-Stokes equation in ℝ3. The non linear integral equation satisfied by the Fourier transform of the Laplacian of the velocity field can be interpreted in terms of a branching Markov process and of a composition rule defined along the associated tree. We derive from this representation new classes where global existence and uniqueness can be proven.
|Translated title of the contribution||Stochastic cascades and Navier-Stokes equations|
|Number of pages||4|
|Journal||Comptes Rendus de l'Academie des Sciences - Series I: Mathematics|
|State||Published - Apr 1997|
ASJC Scopus subject areas