In this article, we study the incompressible Navier-Stokes equations 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 process and a composition rule along the associated tree. We derive from this representation new classes where global existence and uniqueness can be proven.
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty