Timeline for Is there any way to rewrite a partial differential equation using language of differential forms, tensors, etc?
Current License: CC BY-SA 3.0
11 events
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| Nov 12, 2023 at 18:44 | comment | added | Sidharth Ghoshal | I might be curious in the opposite direction, is there an easy way to go form intrinsic to extrinsic. The whitney embedding theorem states any smooth $n$ manifold can me embedded into $2n$ dimensional euclidean space so there ought to be for example a purely extrinsic presentation of general relativity in $\mathbb{R}^8$ | |
| Feb 24, 2016 at 16:53 | history | edited | Michael Hardy | CC BY-SA 3.0 |
added 1 character in body; edited title
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| Sep 14, 2013 at 0:21 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
replaced inapplicable tag 'na.numerical-analysis'; minor corrections
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| Sep 13, 2013 at 23:50 | answer | added | Victor Lehenkyi | timeline score: 1 | |
| May 24, 2013 at 13:33 | vote | accept | HYYY | ||
| May 23, 2013 at 23:01 | comment | added | Deane Yang | Could you be more precise by what you mean by "co-ordinate-free"? I can think of at least two ways of doing this. One is to write the system of PDE's in terms of connections and sections of, as well as maps between, the appropriate vector bundles. Another way is to write the system purely in terms of differential forms (this is called an "exterior differential system"). | |
| May 23, 2013 at 20:06 | answer | added | Bazin | timeline score: 8 | |
| May 23, 2013 at 17:32 | comment | added | jjcale | An example are maxwells equations, see en.wikipedia.org/wiki/Maxwell%27s_equations. | |
| May 23, 2013 at 15:28 | answer | added | Liviu Nicolaescu | timeline score: 2 | |
| May 23, 2013 at 12:26 | answer | added | Igor Khavkine | timeline score: 40 | |
| May 23, 2013 at 11:10 | history | asked | HYYY | CC BY-SA 3.0 |