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• W2899242596 abstract "We study stable blow-up dynamics in the L2-supercritical nonlinear Schrödinger equation with radial symmetry in various dimensions. We first investigate the profile equation and extend the result of Wang (1990) and Budd et al. (1999) on the existence and local uniqueness of solutions of the cubic profile equation to other L2-supercritical nonlinearities and dimensions d≥2. We then numerically observe the multi-bump structure of such solutions, and in particular, exhibit the Q1,0 solution, a candidate for the stable blow-up profile. Next, using the dynamic rescaling method, we investigate stable blow-up solutions in the L2-supercritical NLS and confirm the square root rate of the blow-up as well as the convergence of blow-up profiles to the Q1,0 profile." @default.
• W2899242596 created "2018-11-09" @default.
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• W2899242596 date "2019-09-01" @default.
• W2899242596 modified "2023-10-18" @default.
• W2899242596 title "Blow-up dynamics in the mass super-critical NLS equations" @default.
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• W2899242596 doi "https://doi.org/10.1016/j.physd.2019.02.015" @default.
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