Local well-posedness of incompressible viscous fluids in bounded cylinders with 90°-contact angle

研究成果: Article査読

抄録

We consider a free boundary problem of the Navier–Stokes equations in the three-dimensional Euclidean space with moving contact line, where the 90-contact angle condition is posed. We show that for given T>0 the problem is local well-posed on (0,T) provided that the initial data are small. We study the transformed problem in an Lp-in-time and Lq-in-space setting with 2<p<∞ and 3<q<∞ satisfying 2/p+3/q<1, which provides a weaker setting than the one that was allowed by Wilke (2020) whose case was p=q>5.

本文言語English
論文番号103489
ジャーナルNonlinear Analysis: Real World Applications
65
DOI
出版ステータスPublished - 2022 6月

ASJC Scopus subject areas

  • 分析
  • 工学(全般)
  • 経済学、計量経済学および金融学(全般)
  • 計算数学
  • 応用数学

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