2011/03/01 by Feimin Huang, Tianyi Wang, Huang, Feimin +3
Mathematics · #35L65 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #math.AP #msc:35L65
paper · pdf · doi:10.48550/arxiv.1103.0078
11 pages
openalex publication_date 2011/03/01 · arxiv created 2011/12/18 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
In this paper, a compensated compactness framework is established for sonic-subsonic approximate solutions to the n-dimensional(n≥ 2) Euler equations for steady irrotational flow that may contain stagnation points. This compactness framework holds provided that the approximate solutions are uniformly bounded and satisfy H-1loc(Ω) compactness conditions. As illustration, we show the existence of sonic-subsonic weak solution to n-dimensional(n≥ 2) Euler equations for steady irrotational flow past obstacles or through an infinitely long nozzle. This is the first result concerning the sonic-subsonic limit for n-dimension(n≥ 3).