arXiv subjects

Gregory Varner

Publications and source records attributed to Gregory Varner.

2 recordsLinked to original sources

arXiv2016

Unique Measure for Time-Dependent Random Dynamical Systems

This paper proves the uniqueness of measure for the two-dimensional Navier-Stokes equations under a random kick-force and a time-dependent deterministic force. By extending a result for uniqueness of measure for time-homogeneous Markov processes to the time-inhomogeneous case, it is shown that the measures are exponentially mixing for the 2D Navier-Stokes equations on the sphere.

math.AP↗

arXiv2015

Unique Measure for the Time-Periodic Navier-Stokes on the Sphere

This paper proves the existence and uniqueness of a time-invariant measure for the 2D Navier-Stokes equations on the sphere under a random kick-force and a time-periodic deterministic force. Several examples of deterministic forces satisfying the necessary conditions for there to be a unique invariant measure are given. The support of the measure is examined and given explicitly for several cases.

math.AP↗