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


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
Issue number4
Publication statusPublished - 2019 Aug 1


All Science Journal Classification (ASJC) codes

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

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