Ergodicity for the 3D stochastic Navier–Stokes equations perturbed by Lévy noise

Abstract

In this work we construct a Markov family of martingale solutions for 3D stochastic Navier–Stokes equations (SNSE) perturbed by Lévy noise with periodic boundary conditions. Using the Kolmogorov equations of integrodifferential type associated with the SNSE perturbed by Lévy noise, we construct a transition semigroup and establish the existence of a unique invariant measure. We also show that it is ergodic and strongly mixing.

Document Details

Document Type
Pub Defense Publication
Publication Date
Dec 05, 2018
Source ID
10.1002/mana.201700339

Entities

People

  • K. Sakthivel
  • Manil T. Mohan
  • S. S. Sritharan

Organizations

  • Air Force Institute of Technology
  • Army Research Office
  • Department of Science and Technology
  • Indian Institute of Space Science and Technology
  • Indian Institute of Technology Roorkee

Tags

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.
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