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Some stability results on global solutions to the Navier–Stokes equations
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Isabelle Gallagher
Published/Copyright:
May 5, 2015
Abstract
In these notes we present some results concerning the existence of global smooth solutions to the three-dimensional Navier–Stokes equations set in the whole space. We are particularly interested in the stability of the set of initial data giving rise to a global smooth solution.
Received: 2014-12-1
Revised: 2015-3-3
Accepted: 2015-4-29
Published Online: 2015-5-5
Published in Print: 2015-8-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Maximal regularity in exponentially weighted Lebesgue spaces of the Stokes operator in unbounded cylinders
- Strong solutions of the Boussinesq system in exterior domains
- Some stability results on global solutions to the Navier–Stokes equations
- The Navier–Stokes–Fourier system: From weak solutions to numerical analysis
- Global regularity for a model Navier–Stokes equations on ℝ3
- The steady Navier–Stokes problem with the inhomogeneous Navier-type boundary conditions in a 2D multiply-connected bounded domain
Articles in the same Issue
- Frontmatter
- Maximal regularity in exponentially weighted Lebesgue spaces of the Stokes operator in unbounded cylinders
- Strong solutions of the Boussinesq system in exterior domains
- Some stability results on global solutions to the Navier–Stokes equations
- The Navier–Stokes–Fourier system: From weak solutions to numerical analysis
- Global regularity for a model Navier–Stokes equations on ℝ3
- The steady Navier–Stokes problem with the inhomogeneous Navier-type boundary conditions in a 2D multiply-connected bounded domain
