The FENE model for viscoelastic thin film flows

DOI10.4310/MAA.2009.v16.n2.a4zbMath1185.35185MaRDI QIDQ1046459

Laurent Chupin

Publication date: 22 December 2009

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

Full work available at URL: https://projecteuclid.org/euclid.maa/1257170936

zbMATH Keywords

Fokker-Planck equationboundary layerviscoelastic fluiddegenerate elliptic equationthin filmslong time behaviorlubricationmicrofluidicFENE modelnon-coercive elliptic equation

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Lubrication theory (76D08) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Viscoelastic fluids (76A10) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Asymptotic analysis in optics and electromagnetic theory (78M35)

Related Items (8)

Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary ⋮ The FENE viscoelastic model and thin film flows ⋮ Existence and uniqueness of a density probability solution for the stationary Doi-Edwards equation ⋮ Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids ⋮ Global existence of weak solutions to the FENE dumbbell model of polymeric flows ⋮ Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries ⋮ Global well-posedness for the diffusion equation of population genetics ⋮ The entropy satisfying discontinuous Galerkin method for Fokker-Planck equations

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