Thursday, June 6, 2024 - 16:00 in V2-210/216
Multi-bubble blow-ups and multi-solitons to stochastic nonlinear Schrödinger equations
A talk in the Harmonic and Stochastic Analysis of Dispersive PDEs series by
Deng Zhang from Shanghai Jiao Tong University
| Abstract: |
In this talk we will review some recent results on multi-bubble blow-ups and multi-solitons to the focusing nonlinear Schrödinger equations in both the stochastic and deterministic case. We will show the construction and conditional uniqueness of multi-bubble Bourgain-Wang type blow-up solutions and non-pure multi-solitons, which provide new examples for the mass quantization conjecture and the soliton resolution conjecture. In the low asymptotic regime, the refined uniqueness is also derived. Furthermore, we will show the direct construction of stochastic multi-solitons in the mass critical and subcritical cases, for which the classical pseudo-conformal symmetry is absent.
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