members:lemarie:ns21toc
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members:lemarie:ns21toc [2016/03/23 19:28] Pierre Gilles Lemarié [Mild solutions in Lebesgue or Sobolev spaces] |
members:lemarie:ns21toc [2016/03/23 19:29] Pierre Gilles Lemarié [The differential and the integral Navier–Stokes equations] |
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| ===== The differential and the integral Navier–Stokes equations ===== | ===== The differential and the integral Navier–Stokes equations ===== | ||
| - | Uniform local estimates | + | |
| - | Heat equation | + | * Uniform local estimates |
| - | Stokes equations | + | * Heat equation |
| - | Oseen equations | + | * Stokes equations |
| - | Very weak solutions for the Navier–Stokes equations | + | * Oseen equations |
| - | Mild solutions for the Navier–Stokes equations | + | * Very weak solutions for the Navier–Stokes equations |
| - | Suitable solutions for the Navier–Stokes equations | + | * Mild solutions for the Navier–Stokes equations |
| + | * Suitable solutions for the Navier–Stokes equations | ||
| ===== Mild solutions in Lebesgue or Sobolev spaces ===== | ===== Mild solutions in Lebesgue or Sobolev spaces ===== | ||
| Line 83: | Line 84: | ||
| ===== Mild solutions in Besov or Morrey spaces ===== | ===== Mild solutions in Besov or Morrey spaces ===== | ||
| - | Morrey spaces | + | |
| - | Morrey spaces and maximal functions | + | * Morrey spaces |
| - | Uniqueness of Morrey solutions | + | * Morrey spaces and maximal functions |
| - | Besov spaces | + | * Uniqueness of Morrey solutions |
| - | Regular Besov spaces | + | * Besov spaces |
| - | Triebel–Lizorkin spaces | + | * Regular Besov spaces |
| - | Fourier transform and Navier–Stokes equations | + | * Triebel–Lizorkin spaces |
| + | * Fourier transform and Navier–Stokes equations | ||
| ===== The space BMO^-1 and the Koch and Tataru theorem ===== | ===== The space BMO^-1 and the Koch and Tataru theorem ===== | ||
members/lemarie/ns21toc.txt · Last modified: 2016/03/23 19:30 by Pierre Gilles Lemarié
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