Scientists / Open questions
Yu Deng
Partial differential equations; wave turbulence; mathematical physics
2026 Fields Medal
6 questions
Invariance of the white-noise () weighted Gaussian measure for the periodic Benjamin–Ono equation
The weak null conjecture for systems of nonlinear wave equations
Open horizons of the long-time wave turbulence justification: fluctuation and large-deviation dynamics, continuation past wave-kinetic blow-up, post-kinetic asymptotics, and optimal time dependence
The two-dimensional small-data problem for multispeed Klein–Gordon systems: global existence and scattering versus blow-up
Quantitative range, short-range potentials, and off-equilibrium fluctuations: the open core of the long-time derivation of the Boltzmann equation from hard-sphere dynamics
Sharp polynomial growth of higher Sobolev norms for NLS on irrational 3-tori: the irrationality gain, its Diophantine hypotheses, and the energy-critical endpoint