Spatial behavior of solutions for a large class of non-local PDE's\n arising from stratified flows

2020/06/16 by Manuel Fernando Cortez, Cortez, Manuel Fernando, Oscar Jarrín +1 · 2 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2006.09594

openalex publication_date 2020/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a theoretical model of a non-local dipersive-dissipative equation\nwhich contains as a particular case a large class of non-local PDE's arising\nfrom stratified flows. Within this fairly general framework, we study the\nspatial behavior of solutions proving some sharp pointwise and averaged decay\nproperties as well as some pointwise grow properties.\n

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• Sharp Well-Posedness and Parameter Asymptotics for a Nonlocal Model of Thin Film Flows

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