The existence and dimension of the attractor for a 3D flow of a non-Newtonian fluid subject to dynamic boundary conditions

We consider a non-Newtonian incompressible 3D fluid of Ladyzhenskaya type, in the setting of the dynamic boundary condition. Assuming sufficient growth rate of the stress tensor with respect to the velocity gradient, we establish explicit dimension estimate of the global attractor in terms of the ph...

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Bibliographic Details
Published inApplicable analysis Vol. 103; no. 1; pp. 166 - 183
Main Authors Pražák, Dalibor, Priyasad, Buddhika
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.01.2024
Taylor & Francis Ltd
Subjects
attractors of evolution equations
Boundary conditions
dynamic boundary conditions
Fluid flow
Incompressible flow
Newtonian fluids
Non Newtonian fluids
Physical properties
Tensors
Three dimensional flow
Velocity gradient
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Summary:We consider a non-Newtonian incompressible 3D fluid of Ladyzhenskaya type, in the setting of the dynamic boundary condition. Assuming sufficient growth rate of the stress tensor with respect to the velocity gradient, we establish explicit dimension estimate of the global attractor in terms of the physical parameters of the problem.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2023.2178424