Timeline for Ramp and Cliff Solutions to the Viscous Burgers Equation: Explicit Formula?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 3, 2021 at 14:49 | vote | accept | Gateau au fromage | ||
| Jun 3, 2021 at 12:05 | answer | added | Hans Lundmark | timeline score: 2 | |
| Jun 1, 2021 at 14:47 | history | edited | Gateau au fromage | CC BY-SA 4.0 |
edited title
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| May 31, 2021 at 17:36 | comment | added | Gateau au fromage | @Carlo Beenakker Thank you for your comment. This is the formula for the cliffs in the case of the $b$-family when $b=0$, which is not the Burgers equation. However, if more general formulas exist for the $b$-family's ramp-cliff solutions, I would be as interested, if not more, as I am interested in the Burgers case. | |
| May 31, 2021 at 15:56 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| May 31, 2021 at 14:55 | comment | added | Carlo Beenakker | without viscosity the cliffs have the simple form $u(z)=\text{sign}\,(z)(1-e^{-|z|})$, with $z=x-ct$, see arXiv:nlin/0202059 ; I don't know of an explicit solution with viscosity. | |
| May 31, 2021 at 14:24 | history | asked | Gateau au fromage | CC BY-SA 4.0 |