The R-bounded operator families arising from the study of the barotropic compressible flows with free surface

2019/10/22 by Xin Zhang, Zhang, Xin
Computer Science · Mathematics · #35Q30 #76D05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1910.09854

openalex publication_date 2019/10/22 · openalex created_date 2019/11/01 · openalex updated_date 2026/07/28

Abstract

In this paper, we study some model problem associated to the free boundary value problem of the barotropic compressible Navier-Stokes equations in general smooth domain with taking surface tension into account. To obtain the maximal L_p-L_q regularity property of the model problem, we prove the existence of R-bounded operator families of the resolvent problem via Weis' theory on operator valued Fourier multipliers.

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