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PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion
Type of publication: Article
Citation:
Publication status: Submitted
Journal: Contemporary Mathematics, American Mathematical Society
Year: 2017
Abstract: We establish the long-time existence of large-data weak solutions to a system of nonlinear partial differential equations. The system of interest governs the motion of non-Newtonian fluids described by a simplified viscoelastic rate-type model with a stress-diffusion term. The simplified model shares many qualitative features with more complex viscoelastic rate-type models that are frequently used in the modeling of fluids with complicated microstructure. As such, the simplified model provides important preliminary insight into the mathematical properties of these more complex and practically relevant models of non-Newtonian fluids. The simplified model that is analyzed from the mathematical perspective is shown to be thermodynamically consistent, and we extensively comment on the interplay between the thermodynamical background of the model and the mathematical analysis of the corresponding initial-boundary-value problem.
Preprint project: MORE
Preprint year: 2017
Preprint number: 15
Preprint ID: MORE/2017/15
Keywords:
Authors Bulíček, Miroslav
Málek, Josef
Průša, Vít
Süli, Endre
Added by: [KT]
Total mark: 0
Attachments
  • BuMaPrSu17.pdf
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