Timeline for Why can't there be a general theory of nonlinear PDE?
Current License: CC BY-SA 2.5
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| Sep 29, 2015 at 19:18 | review | Late answers | |||
| Sep 29, 2015 at 19:54 | |||||
| Apr 15, 2015 at 10:03 | comment | added | Michael Bächtold | @DeaneYang: although this is an old thread, I ran across the following article by Jukka Tuomela: "Involutive upgrades of Navier–Stokes solvers". It indicates a relevance of the formal theory to equations like Navier-Stokes and numerics and answers some of your questions. He has some other results in this direction. | |
| Jun 4, 2010 at 20:26 | comment | added | Deane Yang | Here are my reactions: 1) Is the formal theory useful for numerical solutions? Could you provide references for this? 2) There are certainly systems consisting of an evolution equation that is coupled with a constraint or gauge condition. Navier-Stokes is like this. The formal theory provides no new insights for these systems, either. 3) What example do you have in mind? I know this statement as an abstract theorem, but I have never seen it used anywhere. | |
| Jun 4, 2010 at 20:05 | history | answered | jukka tuomela | CC BY-SA 2.5 |