A probabilistic representation for the vorticity of a 3D viscous fluid and for general systems of parabolic equations

Abstract

A probabilistic representation formula for general systems of linear parabolic equations, coupled only through the zero-order term, is given. On this basis, an implicit probabilistic representation for the vorticity in a 3D viscous fluid (described by the Navier-Stokes equations) is carefully analysed, and a theorem of local existence and uniqueness is proved.

References in corpus (1)

• Formulae for the derivatives of heat semigroups

Cited by in corpus (5)

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