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

2025/04/27 by Shuaijie Jiao, Jiao, Shuaijie, Dejun Luo +1 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2504.19153

openalex publication_date 2025/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the inviscid 2D Boussinesq equations driven by rough transport noise of Kraichnan type with regularity index α∈ (0,1/2). For all 1

Citations

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Cited by

• Zero-noise selection and Large Deviations in L^∞_t L^p_x for the stochastic transport equation beyond DiPerna-Lions

Related

• Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity
• Weak well-posedness by transport noise for a class of 2D fluid dynamics equations
• On the pathwise uniqueness of stochastic 2D Euler equations with Kraichnan noise and L^p-data
• On the global well-posedness of the Boussinesq system with zero viscosity
• The primitive equations with rough transport noise: Global well-posedness and regularity