Article Contents
Article Contents

An existence result for non-Newtonian fluids in non-regular domains

• We show the existence of weak solutions to the steady system describing the motion of certain non-Newtonian fluids in non-regular domains. This generalizes previous results for Lipschitz continuous domains. In the proof we combine a localization of the Lipschitz truncation method with a domain decomposition theorem, which enables to extend results known for nice domains to John domains.
Mathematics Subject Classification: 35Q35, 35D05, 26D10, 46E30, 35B45.

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