We prove weak-strong uniqueness in the class of admissible measure-valued solutions for the isentropic Euler equations in any space dimension and for the Savage–Hutter model of …
The paper concerns the model of a flow of non-Newtonian fluid with nonstandard growth conditions of the Cauchy stress tensor. Contrary to standard power-law type rheology, we …
L Diening, C Kreuzer, E Suli - SIAM Journal on Numerical Analysis, 2013 - SIAM
We develop the analysis of finite element approximations of implicit power-law-like models for viscous incompressible fluids. The Cauchy stress and the symmetric part of the velocity …
The paper concerns existence of weak solutions to the equations describing a motion of some non‐Newtonian fluids with non‐standard growth conditions of the Cauchy stress …
Our studies are directed to the existence of weak solutions to a parabolic problem containing a multi-valued term. The problem is formulated in the language of maximal monotone …
We consider steady flows of incompressible fluids with power-law-like rheology given by an implicit constitutive equation relating the Cauchy stress and the symmetric part of the velocity …
Our purpose is to show the existence of weak solutions to steady flow of non-Newtonian incompressible fluids with nonstandard growth conditions of the Cauchy stress tensor. We …
We study the elliptic inclusion given in the following divergence form &-div\, A (x, ∇ u) ∋ f\quad in\quad Ω,\&u= 0\quad on\quad ∂ Ω.-div A (x,∇ u)∋ f in Ω, u= 0 on∂ Ω. As we …
This thesis provides qualitative convergence results of a sequence of numerical approximate solutions for the flow of incompressible fluids subject to an implicit constitutive …