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math-ph2012★ 4 cited
Expansion of the energy of the ground state of the Gross-Pitaevskii equation in the Thomas-Fermi limit
Clement Gallo
From the asymptotic expansion of the ground state of the Gross-Pitaevskii equation in the Thomas--Fermi limit given by Gallo and Pelinovsky in a previous work, we infer an asymptot…
math-ph2009★ 2 cited
On the Thomas-Fermi ground state in a harmonic potential
Clément Gallo, Dmitry Pelinovsky
We study nonlinear ground states of the Gross-Pitaevskii equation in the space of one, two and three dimensions with a radially symmetric harmonic potential. The Thomas-Fermi appro…
math-ph2008
Eigenvalues of a nonlinear ground state in the Thomas-Fermi approximation
Clément Gallo, Dmitry Pelinovsky
We study a nonlinear ground state of the Gross-Pitaevskii equation with a parabolic potential in the hydrodynamics limit often referred to as the Thomas--Fermi approximation. Exist…