Wednesday, October 1, 2025 - 14:00 in V3-201+Zoom
Recent progress on stochastic dispersive and fluid equations
A talk in the Bielefeld Stochastic Afternoon series by
Deng Zhang from Shanghai Jiao Tong University
| Abstract: |
In this talk we will review some recent progresses on stochastic dispersive and fluid equations.
More precisely, it is shown the construction and conditional uniqueness of multi-bubble
Bourgain-Wang type blow-ups and multi-solitons to (stochastic) nonlinear Schroedinger equations,
related to the mass quantization conjecture and the uniqueness open problem of multi-solitons.
Further noise regularization effect on scattering is obtained for the 4D energy critical stochastic
Zakharov system.
For stochastic fluid equations, we will show the construction of continuous energy solutions to
the 3D (stochastic) Navier-Stokes equations, with arbitrarily prescribed finite energy initial data.
For the 2D stochastic Navier-Stokes equations, where the random force is non-Gaussian and
highly degenerate, acting only on a few Fourier modes, we obtain the corresponding Lagrangian
chaos characterized by the strict positivity of the top Lyapunov exponent.
Within the CRC this talk is associated to the project(s): A1, B1 |
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