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math.APJan 1, 2012
20
citations (OpenAlex)
authors
  • Hao Jia
  • Gregory Seregin
  • Vladimír Šverák
institutions
  • University of Minnesota
  • University of Minnesota System
  • University of Oxford
arXiv abstractPDF
paper

Liouville theorems in unbounded domains for the time-dependent Stokes system

arXiv:1201.1664 · doi:10.1063/1.4738636

Abstract

In this paper, We characterize bounded ancient solutions to the time-dependent Stokes system with zero boundary value in various domains, including the half space.

11 pages; final version

Cited by in corpus (7)

  • Estimates for the Navier-Stokes equations in the half-space for non localized data
  • Ancient Solutions to Navier-Stokes Equations in Half Space
  • Rescalings at possible singularities of Navier-Stokes equations in half space
  • On the large time L∞-estimates of the Stokes semigroup in two-dimensional exterior domains
  • Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains
  • Liouville Theorem for 2D Navier-Stokes equations in Half Space
  • Liouville theorems for the Stokes equations with applications to large time estimates
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