Existence and regularity of solutions of non-Newtonian flow

Hyeong Ohk Bae, Hi Jun Choe

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The existence and regularity of Young measure-valued solutions and weak solutions to non-Newtonian flows are considered. Galerkin approximation and an L2 compactness theorem are main ingredients for the proof of the existence of Young measure-valued solutions. Under a certain convexity condition for the energy, we prove that Young measure-valued solutions are weak solutions. Also, for the limited cases, we prove a regularity theorem.

Original languageEnglish
Pages (from-to)379-400
Number of pages22
JournalQuarterly of Applied Mathematics
Volume58
Issue number2
DOIs
Publication statusPublished - 2000 Jun

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All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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