Hölder continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Rate-dependent slip boundary conditions for simple fluids.

The dynamic behavior of the slip length in a fluid flow confined between atomically smooth surfaces is investigated using molecular dynamics simulations. At weak wall-fluid interactions, the slip length increases nonlinearly with the shear rate provided that the liquid/solid interface forms incommensurable structures. A gradual transition to the linear rate dependence is observed upon increasin...

متن کامل

Flow of Electrorheological Fluids under the Conditions of Slip on the Boundary

We derive general conditions of slip of a fluid on the boundary. Under these conditions the velocity of the fluid on the immovable boundary is a function of the normal and tangential components of the force acting on the surface of the fluid. A problem on stationary flow of an electrorheological fluid in which the terms of slip are specified on one part of the boundary and surface forces are gi...

متن کامل

Higher integrability of generalized Stokes system under perfect slip boundary conditions

We prove an L q theory result for generalized Stokes system on a C 2,1 domain complemented with the perfect slip boundary conditions and under Φ−growth conditions. Since the interior regularity was obtained in [3], a regularity up to the boundary is an aim of this paper. In order to get the main result, we use Calderón–Zygmund theory and the method developed in [1]. We obtain higher integrabili...

متن کامل

Turbulent pipe flow of shear-thinning fluids

Direct numerical simulation of the weakly turbulent flow of non-Newtonian fluids is undertaken for two different generalised Newtonian rheology models using a spectral element-Fourier method. Results for a power law (shear-thinning) rheology agree well with experimentally determined logarithmic layer correlations and with other previously published experimental work. As the flow index becomes s...

متن کامل

A Hölder continuity result for a class of obstacle problems under non stan - dard growth conditions

A Hölder continuity result for a class of obstacle problems under non standard growth conditions Michela Eleuteri and Jens Habermann Michela Eleuteri, Dipartimento di Matematica di Trento via Sommarive 14, 38100 Povo (Trento) Italy; e-mail: [email protected] Jens Habermann, Department of mathematics, Friedrich-Alexander University, Bismarckstr. 1 1/2, 91054 Erlangen, Germany; e-mail: ha...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA

سال: 2017

ISSN: 1021-9722,1420-9004

DOI: 10.1007/s00030-017-0449-7