Regularity of the solutions for micro-macro models near equilibrium

DOI10.1016/j.jmaa.2008.07.045zbMath1157.35330OpenAlexW2003495424MaRDI QIDQ947580

Zhifei Zhang, Ling-Bing He

Publication date: 6 October 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.07.045

zbMATH Keywords

Hardy-Littlewood inequalitypolymeric liquidsFokker-Planck operatorFENE Dumbbell modelHookean spring model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Statistical mechanics of polymers (82D60) Navier-Stokes equations (35Q30)

Cites Work

• Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems
• On the global existence of smooth solution to the 2-D FENE dumbbell model
• Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D
• Global well-posedness for 2D polymeric fluid models and growth estimate
• The FENE dumbbell model near equilibrium
• Global existence of weak solutions to some micro-macro models
• Existence of solution for a micro-macro model of polymeric fluid: The FENE model.
• Well-posedness for the dumbbell model of polymeric fluids
• Local existence for the FENE-dumbbell model of polymeric fluids
• On a micro-macro model for polymeric fluids near equilibrium
• An Existence Theorem for Model Equations Resulting from Kinetic Theories of Polymer Solutions
• On hydrodynamics of viscoelastic fluids
• Unnamed Item

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