Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation

Journal Article (Journal Article)

We consider the passive scalar equations subject to shear flow advection and fractional dissipation. The enhanced dissipation estimates are derived. For the classical passive scalar equation (γ=1), our result agrees with the sharp one obtained in [46].

Full Text

Duke Authors

Cited Authors

  • He, S

Published Date

  • February 1, 2022

Published In

Volume / Issue

  • 282 / 3

Electronic International Standard Serial Number (EISSN)

  • 1096-0783

International Standard Serial Number (ISSN)

  • 0022-1236

Digital Object Identifier (DOI)

  • 10.1016/j.jfa.2021.109319

Citation Source

  • Scopus