On divergence-free (form-bounded type) drifts

2022/09/09 by Damir Kinzebulatov, Kinzebulatov, Damir, Reihaneh Vafadar +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #Numerical methods in inverse problems #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2209.04537

openalex publication_date 2022/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop regularity theory for elliptic Kolmogorov operator with divergence-free drift in a large class (or, more generally, drift having singular divergence). A key step in our proofs is "Caccioppoli's iterations", used in addition to the classical De Giorgi's iterations and Moser's method.

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