Timeline for Reversing heat transfer with respect to time
Current License: CC BY-SA 4.0
8 events
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| Dec 25, 2023 at 0:23 | comment | added | user378654 | For the heat equation on domains, you can "completely" understand the behavior of the backwards heat equation in terms of the spectrum of the Laplacian; maybe this is the point of the downvote. But in fact this problem is quite interesting (backward uniqueness is a classical topic related to unique continuation) and its generalizations are actively studied. I know Fanghua Lin has thought about it extensively, you can find some discussion here on related homogenization problems: dx.doi.org/10.4310/MAA.2003.v10.n2.a5 | |
| Dec 25, 2023 at 0:06 | comment | added | Snared | @Kostya_I it may be ill posed in a technical sense, but you can still minimize loss with respect to a fourier expansion capped to N=5000, for example.. Even though the problem is ill-posed I still believe there could be something to it, if that makes sense. | |
| Dec 24, 2023 at 10:06 | comment | added | Snared | But there is sometimes a sense in which it can be well-posed, so maybe this can be an area for people to look into solving special cases for. (Or rather that it has been solved for some special cases, is what I'm really interested in) as some special case might still be useful in some contexts. | |
| Dec 24, 2023 at 10:02 | comment | added | Kostya_I | this is called backward heat equation and it is well studied. It is a classical example of an ill posed problem. | |
| Dec 24, 2023 at 8:47 | history | edited | Snared | CC BY-SA 4.0 |
added 164 characters in body
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| Dec 24, 2023 at 8:09 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title; edited tags
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| S Dec 24, 2023 at 8:00 | review | First questions | |||
| Dec 24, 2023 at 9:35 | |||||
| S Dec 24, 2023 at 8:00 | history | asked | Snared | CC BY-SA 4.0 |