Timeline for What's going on with the two-dimensional Helmholtz equation?
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Feb 7, 2023 at 15:33 | answer | added | Carlo Beenakker | timeline score: 1 | |
Feb 7, 2023 at 15:01 | comment | added | Ivo Ita | Green's function for the two-dimensional Helmholtz equation is derived in this work: sbfisica.org.br/rbef/pdf/351304.pdf | |
May 11, 2022 at 9:21 | comment | added | Kurt G. | The Helmholtz equations stems from separating variables in the wave equation. Physicists are well aware that wave propagation in 2d is very different from 3d. Living in a two dimensional world we would be begging to go deaf. | |
May 11, 2022 at 7:57 | comment | added | Manuel Pena | That was part of my question, that maybe for some reason I don't know this function I show was not considered a Green function. However, I don't know that you mean by your difference. The article in the wikipedia does indeed show a green function for the two-dimensional laplacian (which, as you say, does not vanish at infinity). But my question is why the two-dimensional Helmholtz equation is missing? | |
May 11, 2022 at 4:07 | review | Close votes | |||
May 16, 2022 at 19:45 | |||||
May 11, 2022 at 3:40 | comment | added | Michael Renardy | What is a "true" Green's function? The difference is that in more than two dimensions there is a solution of $\Delta u=\delta$ which vanishes at infinity, in two or one dimension there is not. | |
May 11, 2022 at 0:44 | history | asked | Manuel Pena | CC BY-SA 4.0 |