On 2D Viscoelasticity with Small Strain

Details On 2D Viscoelasticity with Small Strain On 2D Viscoelasticity with Small Strain

2009-04-08

arxiv.org/abs/0904.1345v1

Mathematics

Analysis of PDEs

Different contributions of strain and rotation of the deformation are studied for viscoelastic fluids of Oldroyd-B type in 2D

Scientific paper

An exact two-dimensional rotation-strain model describing the motion of Hookean incompressible viscoelastic materials is constructed by the polar decomposition of the deformation tensor. The global existence of classical solutions is proved under the smallness assumptions only on the size of initial strain tensor. The proof of global existence utilizes the weak dissipative mechanism of motion, which is revealed by passing the partial dissipation to the whole system.

Affiliated with

Also associated with

No associations

Rating

On 2D Viscoelasticity with Small Strain does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On 2D Viscoelasticity with Small Strain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On 2D Viscoelasticity with Small Strain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-214651