Timeline for Harmonic functions and monotonic decay
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 30 at 8:54 | vote | accept | HtmlProg | ||
| Apr 29 at 8:53 | answer | added | Kostya_I | timeline score: 3 | |
| Apr 29 at 8:02 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Apr 29 at 3:01 | comment | added | Buzz | You can use an infinite sequence of image charges, alternating between the interiors of the two spheres. It's like the limiting problem of two infinite parallel planes, except that the positions and magnitudes of the successive charges are more complicated. However, the asymptotic behavior of the infinite series should be (relatively) straightforward to determine. | |
| Apr 29 at 1:41 | comment | added | HtmlProg | I'm not sure I see the explicit Green's function being trivial for two spheres. Would we not need to use a coordinate transformation (eg. bispherical) to obtain this explicitly? I found a paper [here] (asmedigitalcollection.asme.org/appliedmechanics/…), though they consider one sphere inside the other, whereas I'm considering two disjoint spheres. | |
| Apr 29 at 0:46 | comment | added | Buzz | With two spheres, it's easy to write an explicit Green's function as an infinite series, and the behavior of that ought to tell you what you need to know about the solution. | |
| S Apr 29 at 0:37 | review | First questions | |||
| Apr 29 at 0:37 | |||||
| S Apr 29 at 0:37 | history | asked | HtmlProg | CC BY-SA 4.0 |