Local well-posedness of compressible-incompressible two-phase flows with phase transitions

2015/01/10 by Yoshihiro Shibata, Shibata, Yoshihiro
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #math.AP

paper · pdf · doi:10.48550/arxiv.1501.02300

arxiv created 2015/01/10 · openalex publication_date 2015/01/10 · arxiv updated 2015/01/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This paper is concerned with the basic model for compressible and incompressible two phase flows with phase transitions The flows are separated by nearly flat interface represented as a graph over the N-1 dimensional Euclidean space \Bbb R^N-1 (N ≥ 2). The local well-posedness is proved by the Banach fixed point theorem based on the maximal L_p-L_q regularity theorm for the linearized problem.

Citations

• On the \mathcal R-boundedness for the two phase problem with phase transition: compressible-incompressible model problem

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