Asymptotics of solutions of a generalized Thomas-Fermi equation
✍ Scribed by Vojislav Marić; Miodrag Tomić
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 394 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The numerical solution of the Thomas-Fermi equation is considered. Chebyshev series for small and large values of x are derived. Values of the coefficients to 1OD are given.
We study the asymptotic behavior for large time of solutions to the Cauchy problem for the generalized Korteweg de Vries (gKdV) equation u t + ( |u| \&1 u) x + 1 3 u xxx =0, where x, t # R when the initial data are small enough. If the power \ of the nonlinearity is greater than 3 then the solution
By using entropy inequalities with coherent states we prove that for atoms and molecules the partition function of Thomas-Fermi theory becomes exact in the limit Z+ co, in the appropriate scaling. Furthermore the Gibbs state over a suitable algebra converges to a pure state over classical densities