TY - CHAP

T1 - Complex fluids and lagrangian particles

AU - Constantin, Peter

N1 - Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2013

Y1 - 2013

N2 - We discuss complex fluids that are comprised of a solvent, which is an incompressible Newtonian fluid, and particulate matter in it. The complex fluid occupies a region in physical space. The particles are described using a finite dimensional manifold M, which serves as configuration space. Simple models [15, 29] represent complicated objects by retaining very few degrees of freedom, and in those cases or. In general, there is no reason why the number of degrees of freedom of the particles should equal, or be related to the number of degrees of freedom of ambient physical space. We will consider as starting point kinetic descriptions of the particles.

AB - We discuss complex fluids that are comprised of a solvent, which is an incompressible Newtonian fluid, and particulate matter in it. The complex fluid occupies a region in physical space. The particles are described using a finite dimensional manifold M, which serves as configuration space. Simple models [15, 29] represent complicated objects by retaining very few degrees of freedom, and in those cases or. In general, there is no reason why the number of degrees of freedom of the particles should equal, or be related to the number of degrees of freedom of ambient physical space. We will consider as starting point kinetic descriptions of the particles.

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UR - http://www.scopus.com/inward/citedby.url?scp=84877037421&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-36297-2_1

DO - 10.1007/978-3-642-36297-2_1

M3 - Chapter

AN - SCOPUS:84877037421

SN - 9783642362965

T3 - Lecture Notes in Mathematics

SP - 1

EP - 21

BT - Topics in Mathematical Fluid Mechanics

PB - Springer Verlag

ER -