On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium

On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium Full article

Source

Mathematical Models and Integration Methods
Monography, De Gruyter Proceedings in Mathematics. © 2024 Walter de Gruyter GmbH, Berlin/Boston.2024.

Output data

Year: 2024, Pages: 111-123 Pages count : 13 DOI: 10.1515/9783111546667

Authors

Meleshko S.V. ¹ , Moshkin N.H. ² , Petrova Petrova ³ , Pukhnachev V.V. ² , Samatova V. ⁴

Affiliations

1	Institute of Science, School of Mathematics, Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand, e-mail: sergey@math.sut.ac.th
2	Lavrent’ev Institute of Hydrodynamics, 630090, Novosibirsk, Russia
3	Altai State University, Barnaul, Russia
4	Department of Computer Science, North Carolina State University, Raleigh, USA

The presentation (03 June 2020) is based on several of our papers related with two-dimensional flows near a free critical point of an incompressible viscoelastic Maxwell medium with upper, lower, and corotational convective derivatives with the rheological constitutive law. It is performed by way of a complete compatibility analysis. The two solutions found are already known as substantially new solutions. Nonsingular solutions of the stress tensor at the critical point and bounded at infinity are constructed. Exact analytical formulae for the stress tensor were obtained.

Meleshko S.V. , Moshkin N.H. , Petrova P. , Pukhnachev V.V. , Samatova V.
On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium
Monography chapter Mathematical Models and Integration Methods. – De Gruyter Proceedings in Mathematics., 2024. – C.111-123. DOI: 10.1515/9783111546667

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