Existence and regularity of solutions of non-Newtonian flow

Author:
Hyeong-Ohk Bae

Journal:
Quart. Appl. Math. **58** (2000), 379-400

MSC:
Primary 76A05; Secondary 35Q35, 76D03

DOI:
https://doi.org/10.1090/qam/1753406

MathSciNet review:
MR1753406

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Abstract: The existence and regularity of Young measure-valued solutions and weak solutions to non-Newtonian flows are considered. Galerkin approximation and an 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.

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Additional Information

DOI:
https://doi.org/10.1090/qam/1753406

Article copyright:
© Copyright 2000
American Mathematical Society