2026-05-30T22:24:39Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/97752026-02-03T12:02:31Zcom_10630_2254col_10630_37959

The Kolmogorov Law of turbulence: what can rigorously be proved? Lewandowski, Roger Análisis matemático We define a mathematical framework in which we can specify the Reynolds decomposition and the correlation tensors of an incompressible locally homogeneous and isotropic turbulent flow. After having fixed the technical background and some probabilistic tools, we focus on the 2-order correlation tensor, which is the covariance matrix of the velocity vectors at two different points of the flow. We perform a Taylor expansion of this matrix when the two points are close to one another. We characterize the principal part of this expansion, for which we prove the law of the 2/3 by a mathematical similarity principle. 2015-05-15T06:38:16Z 2015-05-15T06:38:16Z 2015-05-15T06:38:16Z 2015-05-15 conference output http://hdl.handle.net/10630/9775 eng Workshop on numerical approximations of PDEs. Honoring the 60th birthday of Frédéric Hecht. Málaga 20-22 abril 2015 open access