On planar flows of viscoelastic fluids of Burgers type
| Type of publication: | Misc |
| Citation: | |
| Publication status: | Submitted |
| Year: | 2021 |
| Abstract: | Viscoelastic rate-type fluid models involving the stress and its observer-invariant time derivatives of higher order are used to describe the behaviour of materials with complex microstructure, for example geomaterials like asphalt, biomaterials such as vitreous in the eye, synthetic rubbers such as SBR (styrene butadiene rubber). A standard model that belongs to the category of viscoelastic rate-type fluid models of the second order is the model due to Burgers, which can be viewed as a mixture of two Oldroyd--B models of the first order. This viewpoint allows one to develop the whole hierarchy of generalized models of a Burgers type. We study one such generalization.\!\! Carrying on the study by Masmoudi \!\cite{Mas}, where he made a sketch of the proof of weak sequential stability of (hypothetical) weak solutions to the so called Giesekus model, we prove long time and large data existence of weak solutions to a Burgers-type model that can be written as a mixture of two Giesekus models in two spatial dimensions. |
| Preprint project: | NCMM |
| Preprint year: | 2021 |
| Preprint number: | 03 |
| Preprint ID: | NCMM/2021/03 |
| Keywords: | |
| Authors | |
| Added by: | [MB] |
| Total mark: | 0 |
|
Attachments
|
|
|
|
|
Notes
|
|
|
|
|
|
Topics
|
|
