Multiscale Modelling of Complex Fluids: A Mathematical Initiation (Q3613247)

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English	Multiscale Modelling of Complex Fluids: A Mathematical Initiation	scientific article

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scholarly article

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Multiscale Modelling of Complex Fluids: A Mathematical Initiation (English)

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Lecture Notes in Computational Science and Engineering

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publication date

12 March 2009

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full work available at URL

https://hal.inria.fr/inria-00165171v3/file/RR-6275.pdf

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zbMATH Keywords

infinitely dilute solutions

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flexible polymers

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Couette flow

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MaRDI profile type

MaRDI publication profile

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A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids

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A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids. II: Transient simulation using space-time separated representations

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ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS

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Mixed finite element methods for viscoelastic flow analysis: A review

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EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR SOME POLYMERIC FLOW MODELS

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Existence of Global Weak Solutions to Some Regularized Kinetic Models for Dilute Polymers

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Probabilistic Approximation of a Nonlinear Parabolic Equation Occurring in Rheology

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Polymer solution rheology based on a finitely extensible bead-spring chain model

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Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows

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Mathematical analysis of a simplified Hookean dumbbell model arising from viscoelastic flows

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Variance reduction methods for CONNFFESSIT-like simulations

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GLS and EVSS methods for a three-field Stokes problem arising from viscoelastic flows

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A Posteriori Control of Modeling Errors and Discretization Errors

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Mathematical Analysis of a Nonlinear Parabolic Equation Arising in the Modelling of Non-Newtonian Flows

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Well-Posedness of a Multiscale Model for Concentrated Suspensions

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Convergence to equilibrium of a multiscale model for suspensions

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A New Method for Micro-Macro Simulations of Viscoelastic Flows

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Simulation of dilute polymer solutions using a Fokker--Planck equation

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Nonlinear Fokker-Planck Navier-Stokes systems

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Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems

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Asymptotic states of a Smoluchowski equation

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Remarks on a Smoluchowski equation

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Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D

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Viscoelastic Fluid Models Derived from Kinetic Equations for Polymers

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FENE Dumbbell Model and Its Several Linear and Nonlinear Closure Approximations

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Convergence of a stochastic method for the modeling of polymeric fluids.

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Well-posedness for the dumbbell model of polymeric fluids

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Adaptive models for polymeric fluid flow simulation

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Constitutive laws for the matrix-logarithm of the conformation tensor

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Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation

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A new approach for the FEM simulation of viscoelastic flows

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Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds

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A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility

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Existence results for the flow of viscoelastic fluids with a differential constitutive law

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Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type

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The Lagrangian particle method for macroscopic and micro-macro viscoelastic flow computations

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An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations

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New entropy estimates for the Oldroyd-B model and related models

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Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms

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On a variance reduction technique for micro--macro simulations of polymeric fluids

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Long-time asymptotics of a multiscale model for polymeric fluid flows

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NUMERICAL ANALYSIS OF MICRO–MACRO SIMULATIONS OF POLYMERIC FLUID FLOWS: A SIMPLE CASE

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

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Calculation of viscoelastic flow using molecular models: The CONNFFESSIT approach

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Multi-scale analysis. Modeling and simulation.

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Renormalized solutions of some transport equations with partially \(W^{1,1}\) velocities and applications

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Existence and Uniqueness of Solutions to Fokker–Planck Type Equations with Irregular Coefficients

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Apparent viscosity of a mixture of a Newtonian fluid and interacting particles

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Optimal error estimate for the CONNFFESSIT approach in a simple case

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Local Existence for the Dumbbell Model of Polymeric Fluids

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Convergence Analysis of BCF Method for Hookean Dumbbell Model with Finite Difference Scheme

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Mathematical analysis of multi-scale models of complex fluids

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On hydrodynamics of viscoelastic fluids

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On a micro-macro model for polymeric fluids near equilibrium

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On the global existence of smooth solution to the 2-D FENE dumbbell model

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Global solutions for some Oldroyd models of non-Newtonian flows

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Global existence of weak solutions to some micro-macro models

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A fast solver for Fokker-Planck equation applied to viscoelastic flows calculations: 2D FENE model.

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Output bounds for reduced-order approximations of elliptic partial differential equations

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A new mixed finite element for calculating viscoelastic flow

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Well-posedness for the FENE dumbbell model of polymeric flows

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Effect of spatial discretization schemes on numerical solutions of viscoelastic fluid flows

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Estimation of modeling error in computational mechanics.

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Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I: Error estimates and adaptive algorithms

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Stochastic differential equations. An introduction with applications.

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A new microstructure-based constitutive model for human blood

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A new consitutive equation derived from network theory

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Handbook of numerical analysis. Vol XII. Special volume: Computational models for the human body.

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Meso-macro modelling of fibre-reinforced rubber-like composites exhibiting large elastoplastic deformation

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A micromechanically motivated material model for the thermo-viscoelastic material behaviour of rubber-like polymers.

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Local Existence of Solutions of the Dirichlet Initial-Boundary Value Problem for Incompressible Hypoelastic Materials

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An Existence Theorem for Model Equations Resulting from Kinetic Theories of Polymer Solutions

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Non integrable extra stress tensor solution for a flow in a bounded domain of an Oldroyd fluid

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M<scp>OLECULAR</scp> O<scp>RIENTATION</scp> E<scp>FFECTS IN</scp> V<scp>ISCOELASTICITY</scp>

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Numerical solution of parabolic equations in high dimensions

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The backward-tracking Lagrangian particle method for transient viscoelastic flows

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Local existence for the FENE-dumbbell model of polymeric fluids

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Global existence of weak solutions to the regularized Hookean dumbbell model

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Identifiers

zbMATH Open document ID

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10.1007/978-3-540-88857-4_2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3613247

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