Analysis of a Dilute Polymer Model with a Time-Fractional Derivative (Q6195327)

scientific article; zbMATH DE number 7817053

Language	Label	Description	Also known as
English	Analysis of a Dilute Polymer Model with a Time-Fractional Derivative	scientific article; zbMATH DE number 7817053

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instance of

scholarly article

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title

Analysis of a Dilute Polymer Model with a Time-Fractional Derivative (English)

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SIAM Journal on Mathematical Analysis

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publication date

13 March 2024

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full work available at URL

https://arxiv.org/abs/2307.16606

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zbMATH Keywords

polymeric liquid

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Fokker-Plack-Navier-Stokes equations

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time-fractional derivative

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well-posedness

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MaRDI profile type

MaRDI publication profile

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cites work

Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg

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Fractional Calculus With Applications in Mechanics

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Q3006513

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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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EXISTENCE OF GLOBAL WEAK SOLUTIONS TO DUMBBELL MODELS FOR DILUTE POLYMERS WITH MICROSCOPIC CUT-OFF

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Numerical approximation of corotational dumbbell models for dilute polymers

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Existence of global weak solutions to Fokker-Planck and Navier-Stokes-Fokker-Planck equations in kinetic models of dilute polymers

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EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS I: FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAINS

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Finite element approximation of kinetic dilute polymer models with microscopic cut-off

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Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers

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Existence of Global Weak Solutions to Implicitly Constituted Kinetic Models of Incompressible Homogeneous Dilute Polymers

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The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation

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A note on Riemann-Liouville fractional Sobolev spaces

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Fractional Derivative Modeling in Mechanics and Engineering

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Corotational Hookean Models of Dilute Polymeric Fluids: Existence of Global Weak Solutions, Weak-Strong Uniqueness, Equilibration, and Macroscopic Closure

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The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

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Equivalence between a time-fractional and an integer-order gradient flow: the memory effect reflected in the energy

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On a subdiffusive tumour growth model with fractional time derivative

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Time-fractional Cahn-Hilliard equation: well-posedness, degeneracy, and numerical solutions

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Fractional Differential Equations

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

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A heterogeneous alternating-direction method for a micro-macro dilute polymeric fluid model

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On the local strong solutions for the FENE dumbbell model

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On diffusive 2D Fokker-Planck-Navier-Stokes systems

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Numerical Solution of the Time-Fractional Fokker--Planck Equation with General Forcing

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A Semidiscrete Finite Element Approximation of a Time-Fractional Fokker--Planck Equation with NonSmooth Initial Data

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Existence, uniqueness and regularity of the solution of the time-fractional Fokker-Planck equation with general forcing

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An \(\alpha \)-robust semidiscrete finite element method for a Fokker-Planck initial-boundary value problem with variable-order fractional time derivative

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Viscoelastic Fluid Models Derived from Kinetic Equations for Polymers

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Some Compactness Criteria for Weak Solutions of Time Fractional PDEs

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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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Stochastic representation of subdiffusion processes with time-dependent drift

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Comment on fractional Fokker-Planck equation with space and time dependent drift and diffusion

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Fractional Calculus and Waves in Linear Viscoelasticity

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Well-posedness for the FENE dumbbell model of polymeric flows

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Global existence of weak solutions to the FENE dumbbell model of polymeric flows

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Uniform stability for a spatially discrete, subdiffusive Fokker-Planck equation

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Regularity theory for time-fractional advection-diffusion-reaction equations

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The random walk's guide to anomalous diffusion: A fractional dynamics approach

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Well-posedness of the fractional Zener wave equation for heterogeneous viscoelastic materials

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Galerkin method for time fractional semilinear equations

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Numerical solution of a time-space fractional Fokker Planck equation with variable force field and diffusion

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

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Lyapunov functions and convergence to steady state for differential equations of fractional order

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Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods

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Bounded weak solutions of time-fractional porous medium type and more general nonlinear and degenerate evolutionary integro-differential equations

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General Fractional Derivatives with Applications in Viscoelasticity

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Local existence for the FENE-dumbbell model of polymeric fluids

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Mathematics(1 entry)

mardi Publication:6195327