Equations for polymeric materials

Nader Masmoudi

doi:10.1007/978-3-319-13344-7_23

Equations for polymeric materials

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Systems coupling fluids and polymers are of great interest in many branches of sciences and engineering (applied physics, chemistry, biology, . . . ). These systems attempt to describe the behavior of complex mixtures of particles and fluids, and as such, they present numerous challenges, simultaneously at three levels: at the level of their derivation, the level of their numerical simulation, and that of their mathematical treatment. This chapter is devoted to the mathematical treatment after a brief discussion of the derivation of such models. Recent results about existence and uniqueness of strong solutions as well as global existence of weak solutions will be discussed. At the mathematical level, one of the main difficulties comes from the coupling of the Navier-Stokes system with a transport equation for the density of polymers.

Original language	English (US)
Title of host publication	Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Publisher	Springer International Publishing
Pages	973-1005
Number of pages	33
ISBN (Electronic)	9783319133447
ISBN (Print)	9783319133430
DOIs	https://doi.org/10.1007/978-3-319-13344-7_23
State	Published - Apr 19 2018

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy
General Engineering

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10.1007/978-3-319-13344-7_23

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Equations for polymeric materials

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ASJC Scopus subject areas

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