Global existence and well-posedness for the FENE dumbbell model of polymeric flows

DOI10.1016/j.nonrwa.2017.03.006zbMath1375.35386OpenAlexW2601566522MaRDI QIDQ2406526

Zhaoyang Yin, Wei Luo

Publication date: 4 October 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.03.006

zbMATH Keywords

FENE dumbbell modelBesov spacesglobal existenceLittlewood-Paley theorylocal well-posednessblow-up criterion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)

Related Items (5)

Optimal decay rates of weak solutions for the 2D co-rotation FENE dumbbell model of polymeric flows ⋮ Vanishing viscosity limit to the FENE dumbbell model of polymeric flows ⋮ An incompressible polymer fluid interacting with a Koiter shell ⋮ Local well-posedness of the compressible FENE dumbbell model of Warner type ⋮ A new improved regularity criterion of solutions to Leray-𝛼-MHD model and Navier-Stokes equation

Cites Work

• The Liouville theorem and the \(L^{2}\) decay for the FENE dumbbell model of polymeric flows
• On the global existence of smooth solution to the 2-D FENE dumbbell model
• On the local strong solutions for the FENE dumbbell model
• Existence of solution for a micro-macro model of polymeric fluid: The FENE model.
• Global existence of weak solutions to the FENE dumbbell model of polymeric flows
• Local existence for the FENE-dumbbell model of polymeric fluids
• Fourier Analysis and Nonlinear Partial Differential Equations
• On global well-posedness for defocusing cubic wave equation
• Well-posedness for the FENE dumbbell model of polymeric flows
• Existence and Decay of Polymeric Flows
• An Existence Theorem for Model Equations Resulting from Kinetic Theories of Polymer Solutions

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