Seminar
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| Location: | SLMath: Baker Board Room, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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In this talk we will review some recent results on stochastic dispersive equations, focusing on critical stochastic Schrödinger and Zakharov equations. We will first show the construction and conditional uniqueness of multi-bubble Bourgain-Wang type blow-up solutions and non-pure multi-solitons to focusing mass-critical (stochastic) nonlinear Schrödinger equations. In particular, the refined uniqueness is derived in the low asymptotic regime. Furthermore, we will present the noise regularization effect on blow-up and scattering dynamics for stochastic Zakharov system particularly in the 4D energy-critical case.
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