Dejun Luo

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math.PR2025

Strong Uniqueness by Kraichnan Transport Noise for the 2D Boussinesq Equations with Zero Viscosity

Shuaijie Jiao, Dejun Luo

We investigate the inviscid 2D Boussinesq equations driven by rough transport noise of Kraichnan type with regularity index $α \in (0, 1/2)$ . For all $1 < p < \infty$ , we establish the e…

math.PR2024

On the pathwise uniqueness of stochastic 2D Euler equations with Kraichnan noise and $L^{p}$ -data

Shuaijie Jiao, Dejun Luo

In the recent work [arXiv:2308.03216], Coghi and Maurelli proved pathwise uniqueness of solutions to the vorticity form of stochastic 2D Euler equation, with Kraichnan transport no…

math.PR2024

Well-posedness of stochastic mSQG equations with Kraichnan noise and $L^{p}$ data

Shuaijie Jiao, Dejun Luo

We consider stochastic mSQG (modified Surface Quasi-Geostrophic) equations with multiplicative transport noise of Kraichnan type, and $L^{p}$ -initial conditions. Inspired by the rece…

Strong Uniqueness by Kraichnan Transport Noise for the 2D Boussinesq Equations with Zero Viscosity

On the pathwise uniqueness of stochastic 2D Euler equations with Kraichnan noise and Lp-data

Well-posedness of stochastic mSQG equations with Kraichnan noise and Lp data

On the pathwise uniqueness of stochastic 2D Euler equations with Kraichnan noise and $L^{p}$ -data

Well-posedness of stochastic mSQG equations with Kraichnan noise and $L^{p}$ data