Non-unique stationary solutions of even active scalar equations

2024/03/25 by Mimi Dai, Chao Wu, Dai, Mimi +1 · 1 citation
Mathematics · Physics and Astronomy · #35Q35 #35Q86 #76D03 #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2403.16800

openalex publication_date 2024/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We study a class of active scalar equations with even non-local operator in the drift term. Non-trivial stationary weak solutions in the space C^0- are constructed using the iterative convex integration approach.

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