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The Navier–Stokes–Fourier system: From weak solutions to numerical analysis
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Eduard Feireisl
Veröffentlicht/Copyright:
14. Juli 2015
Abstract
We discuss the impact of certain recent results concerning stability of weak solutions to the complete Navier–Stokes–Fourier system on the problem of convergence of the associated numerical schemes. In particular, we show that solutions of certain numerical schemes converge unconditionally to the exact solution as long as the numerical solutions remain bounded.
Keywords: Navier–Stokes–Fourier system; weak solution; mixed finite-volume finite-element numerical scheme; convergence
Funding source: GAČR (Czech Science Foundation)
Award Identifier / Grant number: project 13-00522S in the framework of RVO: 67985840
Received: 2014-12-2
Accepted: 2015-7-1
Published Online: 2015-7-14
Published in Print: 2015-8-1
© 2015 by De Gruyter
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Artikel in diesem Heft
- 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
Schlagwörter für diesen Artikel
Navier–Stokes–Fourier system;
weak solution;
mixed finite-volume finite-element numerical scheme;
convergence
Artikel in diesem Heft
- 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
