w*q
发帖数: 1544 | 1 Villatoro’s blog has some detailed analysis, and has recently raised some
serious issues with the paper as well, in the crucial Section 6. (It’s in
Spanish, but this is easy to translate online.)
I can’t read Russian either, so I am happy to defer the detailed checking
to others, but my feeling is that this sort of abstract approach to the
regularity problem, using only the energy identity and harmonic analysis
estimates on the nonlinearity rather than more precise geometric information
specific to the Navier-Stokes equation (e.g. the vorticity equation) is
necessarily doomed to failure. I think I can formalise a specific
obstruction in this regard and hope to present it here in a couple weeks. | y******1
发帖数: 913 | 2 re
information
【在 w*q 的大作中提到】
: Villatoro’s blog has some detailed analysis, and has recently raised some
: serious issues with the paper as well, in the crucial Section 6. (It’s in
: Spanish, but this is easy to translate online.)
: I can’t read Russian either, so I am happy to defer the detailed checking
: to others, but my feeling is that this sort of abstract approach to the
: regularity problem, using only the energy identity and harmonic analysis
: estimates on the nonlinearity rather than more precise geometric information
: specific to the Navier-Stokes equation (e.g. the vorticity equation) is
: necessarily doomed to failure. I think I can formalise a specific
: obstruction in this regard and hope to present it here in a couple weeks.
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