15 citations · 23 across the 5 of their papers we have counts for
9 papers
Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three
Yu Deng, Andrea R. Nahmod, Haitian Yue
In this paper we consider the defocusing Hartree nonlinear Schrödinger equations on with real valued and even potential and Fourier multiplier decaying like $|k|^…
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…
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…
On the global behavior of weak null quasilinear wave equations
Yu Deng, Fabio Pusateri
We consider a class of quasilinear wave equations in space-time dimensions that satisfy the "weak null condition" as defined by Lindblad and Rodnianski \cite{LR1}, and study…
Long time instability of the Couette flow in low Gevrey spaces
Yu Deng, Nader Masmoudi
We prove the instability of the Couette flow if the disturbances is less smooth than the Gevrey space of class 2. This shows that this is the critical regularity for this problem s…