Uniqueness and regularity of flows of non-Newtonian fluids with critical power-law growth

M Bulíček, P Kaplický, D Pražák - Mathematical Models and …, 2019 - World Scientific
We deal with flows of non-Newtonian fluids in three-dimensional setting subjected to the
homogeneous Dirichlet boundary condition. Under the natural monotonicity, coercivity and …

On uniqueness and time regularity of flows of power‐law like non‐Newtonian fluids

M Bulíček, F Ettwein, P Kaplický… - … methods in the applied …, 2010 - Wiley Online Library
Large class of non‐Newtonian fluids can be characterized by index p, which gives the
growth of the constitutively determined part of the Cauchy stress tensor. In this paper, the …

[HTML][HTML] Non-Newtonian incompressible fluids with nonlinear shear tensor and hereditary conditions

HL López-Lázaro, P Marín-Rubio, G Planas - Communications in Nonlinear …, 2024 - Elsevier
We consider a mathematical model with delay for non-Newtonian incompressible fluids in a
bounded domain. Existence of global weak solutions is proved under suitable regularity on …

Pullback attractors for non-Newtonian fluids with shear dependent viscosity

HL López-Lázaro, P Marín-Rubio, G Planas - Journal of Mathematical Fluid …, 2021 - Springer
The so-called Ladyzhenskaya model is analyzed from a non-autonomous dynamical system
point of view, for weak and strong solutions. Existence of attractors when forces are time …

Longtime behavior of a diffuse interface model for binary fluid mixtures with shear dependent viscosity

M Grasselli, D Pražák - Interfaces and Free Boundaries, 2011 - ems.press
We consider a system which describes the behavior of a binary mixture of immiscible
incompressible fluids with shear dependent viscosity by means of the diffuse interface …

Nonlinear dynamical analysis for globally modified incompressible non-Newtonian fluids

T Caraballo, AN Carvalho… - Journal of Mathematical …, 2023 - pubs.aip.org
We present the global modification of the Ladyzhenskaya equations, for incompressible non-
Newtonian fluids. This modification is through a cut-off function that multiplies the convective …

On the uniqueness of the solution and finite-dimensional attractors for the 3D flow with dynamic slip boundary condition

D Pražák, M Zelina - Differential and Integral Equations, 2024 - projecteuclid.org
We consider 3D incompressible non-Newtonian fluid, subject to a dynamic boundary
condition. Using an iteration scheme in Nikolski-Bochner spaces, we obtain additional …

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

D Pražák, B Priyasad - Applicable Analysis, 2024 - Taylor & Francis
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 …

Time regularity of generalized Navier-Stokes equation with p(x,t)-power law

C Sin - Czechoslovak Mathematical Journal, 2023 - Springer
We show time regularity of weak solutions for unsteady motion equations of generalized
Newtonian fluids described by p (x, t)-power law for p (x, t)⩾(3 n+ 2)/(n+ 2), n⩾ 2, by using a …

Asymptotic behavior of 3D Ladyzhenskaya-type fluid flow model with delay

S He, XG Yang - Discrete and Continuous Dynamical Systems-S, 2024 - aimsciences.org
This paper is concerned with the pullback dynamics and asymptotic stability of three
dimensional Ladyzhenskaya-type incompressible fluid flow model with delay. Based on the …