60 citations · 272 across the 21 of their papers we have counts for
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On the Smallness Condition in Linear Inviscid Damping: Monotonicity and Resonance Chains
Yu Deng, Christian Zillinger
We consider the linearized Euler equations around a smooth, bilipschitz shear profile on . We construct an explicit flow which exhibits linea…
Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics
Yu Deng, Christian Zillinger
In this article we show that the Euler equations, when linearized around a low frequency perturbation to Couette flow, exhibit norm inflation in Gevrey-type spaces as time tends to…
Invariant Gibbs measures and global strong solutions for nonlinear Schrödinger equations in dimension two
Yu Deng, Andrea R. Nahmod, Haitian Yue
We consider the defocusing nonlinear Schrödinger equation on with Wick ordered power nonlinearity, and prove almost sure global well-posedness with respect to the as…
Optimal local well-posedness for the periodic derivative nonlinear Schrodinger equation
Yu Deng, Andrea R. Nahmod, Haitian Yue
We prove local well-posedness for the periodic derivative nonlinear Schrodinger's equation, which is L^2 critical, in Fourier-Lebesgue spaces which scale like H^s(T) for s>0. In pa…