RT Conference Proceedings
T1 The Kolmogorov Law of turbulence: what can rigorously be proved?
A1 Lewandowski, Roger
K1 Análisis matemático
AB 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.
YR 2015
FD 2015-05-15
LK http://hdl.handle.net/10630/9775
UL http://hdl.handle.net/10630/9775
LA eng
NO Conferencia plenaria por invitación
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech. Conferencias plan propio de investigación de la UMA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 23 ene 2026