Weak transport equation on a bounded domain: stability theory apr 'es\n DiPerna-Lions

2021/03/17 by Jacopo Tenan, Tenan, Jacopo · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2103.09695

openalex publication_date 2021/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The article studies the transport equation that governes the motion of a\nfluid in a bounded domain, under the hypothesis of zero velocity at the\nboundary and supposing the incompressible nature of the fluid. Together with\nexistence and uniqueness results, we study the DiPerna-Lions stability problem,\nin the case of a bounded domain.\n

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