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math.AP2026
Dependence of the nonlinear Schr{ö}dinger flow upon the nonlinearity
Rémi Carles, Quentin Chauleur, Guillaume Ferriere
We consider the defocusing nonlinear Schr{ö}dinger equation in the energy-subcritical case, and investigate the dependence of the solution upon the power of the nonlinearity. Speci…
math.AP2026
Splitting methods for the Gross-Pitaevskii equation on the full space and vortex nucleation
Quentin Chauleur, Gaspard Kemlin
We prove the convergence in Zhidkov spaces of the first-order Lie-Trotter and the second-order Strang splitting schemes for the time integration of the Gross-Pitaesvkii equation wi…