Timeline for John Nash's Mathematical Legacy
Current License: CC BY-SA 3.0
17 events
| when toggle format | what | by | license | comment | |
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| Jan 13, 2022 at 21:46 | comment | added | Bob Terrell | @CalvinKhor, that's alright with me, and I'm happy if anyone can learn from it. It should be clear that it was my attempt to begin understanding the paper. I didn't get too far, but after all to study 3D compressible viscous flow in the Lagrange description is a big thing. | |
| Jan 13, 2022 at 1:36 | comment | added | Calvin Khor | Hi @BobTerrell, there was a request for a translation of the fluids paper on Math.SE. Only after retrieving a copy from the Wayback Machine and posting as an Answer, did it occur to me to ask you for permission here on MO (sorry!) Is it alright with you? If you don't want people to see it I will take it down ASAP. (You can also get the Wayback Machine to delete things via DMCA requests.) | |
| Dec 2, 2015 at 18:50 | comment | added | Dmitri Pavlov | @PaulBurchett: You can easily find it out for yourself: take the list of 26 entries supplied by MathSciNet and throw away all reprints, translations, etc. | |
| Dec 2, 2015 at 14:40 | comment | added | Paul Burchett | @Dmitri Pavlov - Do you know where I can find out the exact number of math publications containing original mathematics that Nash published? Wiki states 21, AMS states 25, however you state that almost half are reprints, but don't give an exact number. | |
| Jun 1, 2015 at 7:18 | history | edited | Denis Serre | CC BY-SA 3.0 |
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| May 26, 2015 at 5:15 | history | edited | Denis Serre | CC BY-SA 3.0 |
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| May 25, 2015 at 21:04 | comment | added | Pedro Lauridsen Ribeiro | @DennisSerre Newton iteration was originally designed for finding simple zeros of functions - indeed, in this case a simple zero of (say) a real valued function $f$ on the real line will be a fixed point of the map $g(x)=x-f(x)/f'(x)$. In Nash-Moser's method, $g$ is replaced at the $n$-th step by a parameter-dependent regularization $g_{\theta_n}$ of $g$, where $\theta_1<\theta_2<\cdots\rightarrow+\infty$ is an increasing sequence of scales, so it's not really a fixed-point method. | |
| May 25, 2015 at 15:44 | history | edited | Denis Serre | CC BY-SA 3.0 |
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| May 25, 2015 at 13:50 | comment | added | Pedro Lauridsen Ribeiro | The Nash-Moser iteration scheme is not a fixed-point method, but rather an inverse / implicit function theorem. It is a sort of regularized Newton scheme. The regularization procedure along each iteration resembles (in fact, predates) renormalization group ideas. | |
| May 25, 2015 at 10:51 | history | edited | Peter Mortensen | CC BY-SA 3.0 |
Copy edited.
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| May 25, 2015 at 6:58 | comment | added | Dmitri Pavlov | @EdwardDunne: About half of these 25 papers are reprints. | |
| May 25, 2015 at 3:58 | comment | added | Edward Dunne | There are 25 papers by Nash in Math Reviews: Author Profile Page for John F. Nash | |
| May 24, 2015 at 22:17 | comment | added | Bob Terrell | There is an English translation of the fluid paper at www.math.cornell.edu/~bterrell/nash.ps that I made for my own study; it is not a scholarly translation but might be of use to someone. | |
| May 24, 2015 at 17:53 | comment | added | Deane Yang | I found the paper: Le problème de Cauchy pour les équations différentielles d'un fluide général. (French) Bull. Soc. Math. France 90 1962 487–497. The abstract seems to indicate that there were some errors in the paper? Any chance you could say more about this paper? | |
| May 24, 2015 at 17:03 | comment | added | Deane Yang | I'm not familiar with Nash's work on fluid flows. Do you have a reference for this? | |
| S May 24, 2015 at 16:45 | history | answered | Denis Serre | CC BY-SA 3.0 | |
| S May 24, 2015 at 16:45 | history | made wiki | Post Made Community Wiki by Denis Serre |