@inproceedings{892248c002144c038502a87c1a92c78f,

title = "Existence theory for generalized Newtonian fluids",

abstract = "The flow of a homogeneous generalized Newtonian fluid is described by a generalized Navier-Stokes system whit a shear rate dependent viscocity. In the common power law model the stress deviator is given by S(epsilon(v)) = (1 + vertical bar epsilon(v)vertical bar)(p-2)epsilon(v) with p is an element of (1, infinity). In this note we give an overview about results concerning the existence of weak solutions to these equations in the stationary and non-stationary setting. We present the different techniques which are based on monotone operator theory, L-infinity-truncation and Lipschitz truncation respectively.",

keywords = "Weak solutions, generalized Navier-Stokes equations, power law fluids, SHEAR-DEPENDENT VISCOSITY, SOLENOIDAL LIPSCHITZ TRUNCATION, POWER-LAW FLUIDS, WEAK SOLUTIONS, STEADY FLOWS",

author = "Dominic Breit",

year = "2016",

doi = "10.1090/conm/666/13242",

language = "English",

isbn = "9781470415211",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "99--110",

editor = "Radulescu, {V. D.} and A. Sequeira and Solonnikov, {V. A.}",

booktitle = "Recent Advances in Partial Differential Equations and Applications",

address = "United States",

note = "International Conference in honor of Hugo Beirao de Veiga's 70th Birthday : Recent Advances in PDEs and Applications ; Conference date: 17-02-2014 Through 21-02-2014",

}