Theory and Modern Applications
From: Axisymmetric self-similar finite-time singularity solution of the Euler equations
N | q | # nodes | ν | \(L^{(0)}\) | \(H_{1}^{(0)}\) | \(H_{2}^{(0)}\) | \(H_{3}^{(0)}\) | \(H_{4}^{(0)}\) |
---|---|---|---|---|---|---|---|---|
1 | 1† | 1 | 0.89005 | 5.7801 | 12.8062 | – | – | – |
2 | 1§ | 0 | 1.82365 | 1.53912 | 3.62004 | 0.73507 | – | – |
2 | 2§ | 0 | 1.10091 | 1.40061 | 3.13151 | 0.09930 | – | – |
2 | 2† | 1 | 1.31387 | 1.54258 | 2.84748 | −1.99573 | – | – |
3 | 2‡ | 2 | 1.92233 | 1.94822 | 7.17371 | 6.01831 | 23.8935 | – |
3 | 3§ | 0 | 0.6306 | 0.94388 | 1.85984 | −0.756781 | −0.31851 | – |
4 | 2‡ | 2 | 2.7186 | 2.47909 | 4.33713 | −4.58815 | 4.88998 | −4.4704 |
4 | 2‡ | 2 | 3.4453 | 2.9636 | 2.2837 | −16.2556 | 9.9944 | −6.5697 |