Compressible Fluid Model of Korteweg Type with Free Boundary Condition: Model Problem

The aim of this paper is to prove the existence of -bounded solution operator families for a resolvent problem on the upper half-space arising from a compressible fluid model of Korteweg type with free boundary condition. Such a compressible fluid model was derived by Dunn and Serrin (1985) and stud...

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Bibliographic Details
Published inFunkcialaj Ekvacioj Vol. 62; no. 3; pp. 337 - 386
Main Author Saito, Hirokazu
Format Journal Article
LanguageEnglish
Published Tokyo Division of Functional Equations, The Mathematical Society of Japan 2019
Japan Science and Technology Agency
Subjects
Boundary conditions
Boundary value problems
Compressible fluids
Consultants
Free boundaries
Free boundary condition
Half spaces
Half-space model problem
Korteweg model
R-bounded solution operator families
Resolvent problem
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Summary:The aim of this paper is to prove the existence of -bounded solution operator families for a resolvent problem on the upper half-space arising from a compressible fluid model of Korteweg type with free boundary condition. Such a compressible fluid model was derived by Dunn and Serrin (1985) and studied by Kotschote (2008) as a boundary value problem with non-slip boundary condition.
ISSN:0532-8721
DOI:10.1619/fesi.62.337