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20212026
most citedOn the wave turbulence theory for a stochastic KdV type equation

3 citations · 3 across the 7 of their papers we have counts for

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math-ph2026

Global time-analytic strong solutions for a class of 3-wave kinetic equations

Nguyen Gia Hien, Gigliola Staffilani, Minh-Binh Tran

We study a class of 3-wave kinetic equations arising in wave turbulence theory, with regularized kernels. For radial, nonnegative initial data, we construct an exact global-in-time…

math.NA2026

A Microlocal Open-Boundary Method for Residual-Based Wave Solvers on Unbounded Domains

Avy Soffer, Nguyen Gia Hien, Minh-Binh Tran

We introduce a microlocal phase-space-filtered physics-informed neural network (PINN--TDPSF or Microlocal PINNFilter) framework for wave propagation on unbounded domains. The metho…