Publication database of NCMM , project MORE and MathMAC center.
Dear guest, welcome to this publication database. As an anonymous user, you will probably not have edit rights. Also, the collapse status of the topic tree will not be persistent. If you like to have these and other options enabled, you might ask Jaroslav Hron for a login account.
This site is powered by Aigaion - A PHP/Web based management system for shared and annotated bibliographies. For more information visit https://github.com/aigaion.
 [BibTeX] [RIS] [Request]
On a class of compressible viscoelastic rate-type fluids with stress--diffusion
Type of publication: Article
Citation:
Publication status: Published
Journal: Nonlinearity
Volume: 32
Number: 12
Year: 2019
Pages: 4665--4681
DOI: 10.1088/1361-6544/ab3614
Abstract: We develop a mathematical theory for a class of compressible viscoelastic rate-type fluids with stress diffusion. Our approach is based on the concepts used in the nowadays standard theory of compressible Newtonian fluids as renormalization, effective viscous flux identity, compensated compactness. The presence of the extra stress, however, requires substantial modification of these techniques, in particular, a new version of the effective viscous flux identity is derived. With help of these tools, we show the existence of global--in--time weak solutions for any finite energy initial data.
Preprint project: NCMM
Preprint year: 2018
Preprint number: 10
Preprint ID: NCMM/2018/10
Keywords: Compressible fluid, global--in--time existence, non-Newtonian fluid, stress diffusion, viscoelastic fluid, weak solution
Authors Bulíček, Miroslav
Feireisl, Eduard
Málek, Josef
Added by: [MB]
Total mark: 0
Attachments
  • Bulicek_Feireisl_Malek_2018.pdf
Notes
    Topics