Equations for Polymeric Materials

Nader Masmoudi ()
Additional contact information
Nader Masmoudi: New York University in Abu Dhabi, Department of Mathematics

Chapter 20 in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, pp 973-1005 from Springer

Abstract: 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.

Date: 2018
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-13344-7_23

Ordering information: This item can be ordered from
http://www.springer.com/9783319133447

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

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().