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

• Saito Hirokazu

  Tokyo University of Science

抄録

The aim of this paper is to prove the existence of <img align="middle" src="./Graphics/abst-1.jpg"/>-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.

収録刊行物

• Funkcialaj Ekvacioj

  Funkcialaj Ekvacioj 62 (3), 337-386, 2019

  日本数学会函数方程式論分科会

キーワード

• Korteweg model
• Compressible fluids
• Free boundary condition
• Half-space model problem
• Resolvent problem
• <i>R</i>-bounded solution operator families

詳細情報

• CRID: 1390846609807164544
• NII論文ID: 130007801446
• DOI: 10.1619/fesi.62.337
• ISSN: 05328721
• Web Site: https://www.jstage.jst.go.jp/article/fesi/62/3/62_337/_pdf
• 本文言語コード: en
• データソース種別:
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  • Crossref
  • CiNii Articles
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• 抄録ライセンスフラグ: 使用不可