Existence of solution for a micro-macro model of polymeric fluid: The FENE model.

From MaRDI portal
Publication:1431783

DOI10.1016/S0022-1236(03)00183-6zbMath1047.76004MaRDI QIDQ1431783

Tony Lelièvre, Benjamin Jourdain, Claude Le Bris

Publication date: 11 June 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)




Related Items

Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers: the two-dimensional caseLocal Existence for the Dumbbell Model of Polymeric FluidsCorotational Hookean Models of Dilute Polymeric Fluids: Existence of Global Weak Solutions, Weak-Strong Uniqueness, Equilibration, and Macroscopic ClosureSome Analytical Issues for Elastic Complex FluidsWell-posedness for the dumbbell model of polymeric fluidsGlobal existence of classical solutions for a reactive polymeric fluid near equilibriumGlobal Classical Solutions to a Compressible Model for Micro-Macro Polymeric Fluids Near EquilibriumExistence and uniqueness of a density probability solution for the stationary Doi-Edwards equationGlobal Strong Solutions for Some Differential Viscoelastic ModelsEXISTENCE OF GLOBAL WEAK SOLUTIONS FOR SOME POLYMERIC FLOW MODELSOptimal error estimate for the CONNFFESSIT approach in a simple caseGlobal existence and well-posedness for the FENE dumbbell model of polymeric flowsRegularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systemsStrong solutions of stochastic models for viscoelastic flows of Oldroyd typeMultiscale HDG model reduction method for flows in heterogeneous porous mediaNon-existence of mean-field models for particle orientations in suspensionsA Micro-Macro Acceleration Method for the Monte Carlo Simulation of Stochastic Differential EquationsDerivation of the viscoelastic stress in Stokes flows induced by nonspherical Brownian rigid particles through homogenizationGlobal existence of weak solutions to the FENE dumbbell model of polymeric flowsGlobal strong solutions and large time behavior to a micro-macro model for compressible polymeric fluids near equilibriumStrong solution for a stochastic model of two-dimensional second grade fluids: existence, uniqueness and asymptotic behaviorMicro-macro models for viscoelastic fluids: modelling, mathematics and numericsAnalysis of a Dilute Polymer Model with a Time-Fractional DerivativeGlobal solutions for micro-macro models of polymeric fluidsEXISTENCE OF GLOBAL WEAK SOLUTIONS TO DUMBBELL MODELS FOR DILUTE POLYMERS WITH MICROSCOPIC CUT-OFFThe \(L^{2}\) decay for the 2D co-rotation FENE dumbbell model of polymeric flowsStudy of phase transition in homogeneous, rigid extended nematics and magnetic suspensions using an order-reduction methodGlobal well-posedness for the microscopic FENE model with a sharp boundary conditionGlobal existence of weak solutions to macroscopic models of polymeric flowsWell-posedness for the FENE dumbbell model of polymeric flowsOn the global existence of smooth solution to the 2-D FENE dumbbell modelGlobal well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2DMicro-Macro-Models for Two-Phase Flow of Dilute Polymeric Solutions: Macroscopic Limit, Analysis, and NumericsEfficiency of a Micro-Macro Acceleration Method for Scale-Separated Stochastic Differential EquationsGlobal well-posedness for 2D polymeric fluid models and growth estimateVanishing viscosity limit to the FENE dumbbell model of polymeric flowsThe FENE dumbbell model near equilibriumRegularity of the solutions for micro-macro models near equilibriumLocal existence of smooth solutions to the FENE dumbbell modelGlobal well-posedness for the 2D micro-macro models in the bounded domainExistence of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers with variable density and viscosityFokker-Planck equation in bounded domainLong-time asymptotics of a multiscale model for polymeric fluid flowsOn stochastic models describing the motions of randomly forced linear viscoelastic fluidsLocal existence for the FENE-dumbbell model of polymeric fluidsAn incompressible polymer fluid interacting with a Koiter shellGlobal existence of 2-D FENE dumbbell model with concentrated center-of-massOn the Euler equations of incompressible fluidsGlobal existence of weak solutions to some micro-macro modelsOn micro–macro-models for two-phase flow with dilute polymeric solutions — modeling and analysisMultiscale Modelling of Complex Fluids: A Mathematical InitiationHysteretic behavior of a moment-closure approximation for FENE modelOn diffusive 2D Fokker-Planck-Navier-Stokes systemsEXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS I: FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAINSGlobal Existence Result for the Generalized Peterlin Viscoelastic ModelGlobal existence and well-posedness for the Doi-Edwards polymer modelSharp decay estimates for Oldroyd-B model with only fractional stress tensor diffusionA heterogeneous alternating-direction method for a micro-macro dilute polymeric fluid modelTHE STEADY STATE CONFIGURATIONAL DISTRIBUTION DIFFUSION EQUATION OF THE STANDARD FENE DUMBBELL POLYMER MODEL: EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR ARBITRARY VELOCITY GRADIENTSLocal well-posedness of the compressible FENE dumbbell model of Warner typeExistence of Global Weak Solutions to Implicitly Constituted Kinetic Models of Incompressible Homogeneous Dilute PolymersFinite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flowsGlobal existence and uniqueness result for the diffusive Peterlin viscoelastic modelThe entropy satisfying discontinuous Galerkin method for Fokker-Planck equations



Cites Work