Existence of regular solutions for a certain type of non-Newtonian fluids

Kyungkeun Kang, Hwa Kil Kim, Jae Myoung Kim

Research output: Contribution to journalArticle

Abstract

We are concerned with existence of regular solutions for non-Newtonian fluids in dimension three. For a certain type of non-Newtonian fluids, we prove local existence of unique regular solutions, provided that the initial data are sufficiently smooth. Moreover, if the H3-norm of initial data is sufficiently small, then the regular solution exists globally in time.

Original languageEnglish
Article number124
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume70
Issue number4
DOIs
Publication statusPublished - 2019 Aug 1

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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