Global Well-Posedness of Strong Solutions of Doi Model with Large Viscous Stress
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We study models of dilute rigid rod-like polymer solutions. We establish the global well-posedness of the Doi model for large data and for arbitrarily large viscous stress parameter. The main ingredient in the proof is the fact that the viscous stress adds dissipation to high derivatives of velocity.
KeywordsComplex fluids Polymeric solutions Doi model
Mathematics Subject Classification35 76
The author deeply appreciates the helpful support of Professor Peter Constantin. Professor Constantin encouraged the development of the paper and gave a lot of helpful comments. Doctor Dario Vincenzi is the one who introduced the author to work on (4), and the author also thanks to Doctor Vincenzi. Research of the author was partially supported by Samsung scholarship. Also the author thanks referees for their helpful comments.
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