Timeline for Estimates for the Benjamin-Ono equation
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Jan 8, 2022 at 13:05 | history | bounty ended | CommunityBot | ||
| S Jan 8, 2022 at 13:05 | history | notice removed | CommunityBot | ||
| Jan 1, 2022 at 17:38 | comment | added | Riku | @Buzz I see. Could you please write up in an answer what the right constants are and, most importantly, how to estimate the momentum and energy evolution? | |
| Dec 31, 2021 at 17:13 | comment | added | Buzz | Your first integral is the total momentum $P$ carried by the B-O field. The second integral, with two terms in the integrand, is almost the corresponding energy $E$ carried by the field, but the relative sizes of the two terms in the integrand are wrong for that See, e.g., my paper arXiv:1902.04643 | |
| Dec 31, 2021 at 11:56 | comment | added | Riku | @Buzz I'm not sure what you mean | |
| S Dec 31, 2021 at 11:55 | history | bounty started | Riku | ||
| S Dec 31, 2021 at 11:55 | history | notice added | Riku | Authoritative reference needed | |
| Dec 29, 2021 at 4:25 | comment | added | Buzz | Are you sure that you don't want, for the second integral, the expression for the energy of the B-O equation at $\beta=0$? Also, is there a reason you wrote the integrand with an imaginary fractional Laplacian, rather than with $u_{x}^{2}$? | |
| Dec 29, 2021 at 1:32 | history | asked | Riku | CC BY-SA 4.0 |