Time Decay Estimate with Diffusion Wave Property and Smoothing Effect for Solutions to the Compressible Navier-Stokes-Korteweg System

• Kobayashi Takayuki

  Osaka University

• Tsuda Kazuyuki

  Kyushu Sangyo University

抄録

Time decay estimate of solutions to the compressible Navier-Stokes-Korteweg system is studied. Concerning the linearized problem, the decay estimate with diffusion wave property for an initial data is derived. As an application, the time decay estimate of solutions to the nonlinear problem is given. In contrast to the compressible Navier-Stokes system, for linear system regularities of the initial data are lower and independent of the order of derivative of solutions owing to smoothing effect from the Korteweg tensor. Furthermore, for the nonlinear system diffusion wave property is obtained with an initial data having lower regularity than that of study of the compressible Navier-Stokes system.

収録刊行物

• Funkcialaj Ekvacioj

  Funkcialaj Ekvacioj 64 (2), 163-187, 2021-08-15

  日本数学会函数方程式論分科会

キーワード

• Compressible Navier-Stokes-Korteweg system
• Time decay estimate
• Diffusion wave property
• Smoothing effect

詳細情報

• CRID: 1390289243507462528
• NII論文ID: 130008083380
• DOI: 10.1619/fesi.64.163
• ISSN: 05328721
• Web Site: https://www.jstage.jst.go.jp/article/fesi/64/2/64_163/_pdf
• 本文言語コード: en
• データソース種別:
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• 抄録ライセンスフラグ: 使用不可