Deng Zhang

activity

20152022

most citedOptimal bilinear control of stochastic nonlinear Schrödinger equations: mass-(sub)critical case

2 citations · 6 across the 10 of their papers we have counts for

collaborators

Showing math.APShow all

6 papers · 1 filter

math.AP2022

Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: above the Lions exponent

Yachun Li, Peng Qu, Zirong Zeng +1

We study the 3D hyperdissipative Navier-Stokes equations on the torus, where the viscosity exponent $α$ can be larger than the Lions exponent $5/4$ . It is well-known that, due to L…

math.AP2022

Ill-posedness of quintic fourth order Schrödinger equation

Bo Xia, Deng Zhang

We prove that the solution map, associated to the quintic fourth order nonlinear Schrödinger equation, exhibits the norm inflation phenomenon at every point in the Sobolev spaces o…

math.AP2021★ 1 cited

Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equation

Michael Röckner, Yiming Su, Deng Zhang

We consider a general class of focusing $L^{2}$ -critical nonlinear Schrödinger equations with lower order perturbations, for which the pseudo-conformal symmetry and the conservation…

math.AP2021

On uniqueness of multi-bubble blow-up solutions and multi-solitons to $L^{2}$ -critical nonlinear Schrödinger equations

Daomin Cao, Yiming Su, Deng Zhang

We are concerned with the focusing $L^{2}$ -critical nonlinear Schrödinger equations in $R^{d}$ for $d = 1, 2$ . The uniqueness is proved for a large energy class of multi-bubble b…

math.AP2020★ 2 cited

A note on log-log blow up solutions for stochastic nonlinear Schrödinger equations

Chenjie Fan, Yiming Su, Deng Zhang

In this short note, we present a construction for the log-log blow up solutions to focusing mass-critical stochastic nonlinear Schröidnger equations with multiplicative noises. The…

math.AP2019★ 2 cited

Optimal bilinear control of stochastic nonlinear Schrödinger equations: mass-(sub)critical case