MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE

Inthisarticle,theauthorsconsiderthecollapsesolutionsofCauchyproblemforthenonlinearSchrdingerequationiψt+1/2△ψ-1/2ω2|x|2ψ+|ψ|2ψ=0,x∈R2,whichmodelstheBose-Einsteincondensatewithattractiveinteractions.Theauthorsestablishthelowerboundofcollapserateast→T.Furthermore,theL2-concentrationpropertyoftheradiallysymmetriccollapsesolutionsisobtained.