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Global regularity for a model Navier–Stokes equations on ℝ3
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Dongho Chae
Published/Copyright:
July 7, 2015
Abstract
We study a nonlinear parabolic system for a time dependent solenoidal vector field on ℝ3. The nonlinear term of these new model equations is obtained slightly modifying that of the Navier–Stokes equations. The system has the same scaling property and Galilean invariance as the Navier–Stokes equations. For such a system we prove the global regularity for smooth initial data.
Keywords: Model Navier–Stokes equations; global regularity
Funding source: National Research Foundation of Korea
Award Identifier / Grant number: 2006-0093854
Funding source: National Research Foundation of Korea
Award Identifier / Grant number: 2009-0083521
Received: 2014-12-8
Accepted: 2015-7-1
Published Online: 2015-7-7
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
