Stochastic Lagrangian Dynamics of Vorticity. I. General Theory

Prior mathematical work of Constantin and Iyer (2008, 2011) has shown that incompressible Navier-Stokes solutions possess infinitely-many stochastic Lagrangian conservation laws for vorticity, backward in time, which generalize the invariants of Cauchy (1815) for smooth Euler solutions. We simplify this theory for the case of wall-bounded flows by appealing to... Show more