Existence of Weak Solution to the Nonstationary Navier-Stokes Equations Approximated by Pressure Stabilization Method

Takayuki Kobayashi (), Miho Murata () and Hirokazu Saito ()
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Takayuki Kobayashi: Osaka University, Division of Mathematical Science, Department of Systems Innovation, Graduate School of Engineering Science
Miho Murata: Shizuoka University, Department of Mathematical and System Engineering,Faculty of Engineering
Hirokazu Saito: The University of Electro-Communications, Graduate School of Informatics and Engineering

A chapter in Collected Papers in Honor of Yoshihiro Shibata, 2022, pp 147-164 from Springer

Abstract: Abstract n this paper, we consider a resolvent problem arising in the study of a Korteweg-type model of isothermal compressible viscous fluids derived by Dunn and Serrin (1985), and we prove resolvent estimates in bounded and exterior domains.

Keywords: Resolvent estimate; Korteweg-type model; Compressible viscous fluid; Isothermal fluid; Capillarity; Bounded domain; Exterior domain; Global solvability (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-19252-4_8

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DOI: 10.1007/978-3-031-19252-4_8

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