FENE Dumbbell Model and Its Several Linear and Nonlinear Closure Approximations
From MaRDI portal
Publication:5695947
DOI10.1137/040612038zbMath1108.76006OpenAlexW1965272075MaRDI QIDQ5695947
Publication date: 6 October 2005
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/afc23f8194ab05f4da0f0b485ba9d61bc83e0595
stability analysismoment closureFokker-Planck equationnon-Newtonian fluidsfinite extendible nonlinear elasticityfinite extendible nonlinear elasticity-P
Non-Newtonian fluids (76A05) Numerical solutions to stochastic differential and integral equations (65C30) Basic methods in fluid mechanics (76M99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Related Items
Crucial properties of the moment closure model FENE-QE ⋮ A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials ⋮ Global existence of weak solutions to the FENE dumbbell model of polymeric flows ⋮ Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics ⋮ The Fujita-Kato theorem for some Oldroyd-B model ⋮ EXISTENCE OF GLOBAL WEAK SOLUTIONS TO DUMBBELL MODELS FOR DILUTE POLYMERS WITH MICROSCOPIC CUT-OFF ⋮ Rayleigh–Bénard convection in viscoelastic liquid bridges ⋮ Global well-posedness for the microscopic FENE model with a sharp boundary condition ⋮ Global existence of weak solutions to macroscopic models of polymeric flows ⋮ On the global existence of smooth solution to the 2-D FENE dumbbell model ⋮ Global well-posedness for the 2D micro-macro models in the bounded domain ⋮ Existence of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers with variable density and viscosity ⋮ A numerical closure approach for kinetic models of polymeric fluids: exploring closure relations for FENE dumbbells ⋮ Long-time asymptotics of a multiscale model for polymeric fluid flows ⋮ Local existence for the FENE-dumbbell model of polymeric fluids ⋮ Multiscale Modelling of Complex Fluids: A Mathematical Initiation ⋮ Hysteretic behavior of a moment-closure approximation for FENE model ⋮ On diffusive 2D Fokker-Planck-Navier-Stokes systems ⋮ EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS I: FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAINS ⋮ Spectral Galerkin approximation of Fokker-Planck equations with unbounded drift ⋮ THE STEADY STATE CONFIGURATIONAL DISTRIBUTION DIFFUSION EQUATION OF THE STANDARD FENE DUMBBELL POLYMER MODEL: EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR ARBITRARY VELOCITY GRADIENTS ⋮ Existence of Global Weak Solutions to Implicitly Constituted Kinetic Models of Incompressible Homogeneous Dilute Polymers ⋮ The entropy satisfying discontinuous Galerkin method for Fokker-Planck equations
