Interior regularity of weak solutions to the equations of a stationary motion of a non-Newtonian fluid with shear-dependent viscosity. The case $q=\frac{3d}{d+2}$

Jörg Wolf

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Displaying similar documents to “Interior regularity of weak solutions to the equations of a stationary motion of a non-Newtonian fluid with shear-dependent viscosity. The case $q = \frac{3 d}{d + 2}$ ”

On the exterior problem in 2D for stationary flows of fluids with shear dependent viscosity

Michael Bildhauer, Martin Fuchs (2012)

Commentationes Mathematicae Universitatis Carolinae

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On the complement of the unit disk $B$ we consider solutions of the equations describing the stationary flow of an incompressible fluid with shear dependent viscosity. We show that the velocity field $u$ is equal to zero provided ${u |}_{\partial B} = 0$ and ${lim}_{| x | \to \infty} {| x |}^{1 / 3} | u (x) | = 0$ uniformly. For slow flows the latter condition can be replaced by ${lim}_{| x | \to \infty} | u (x) | = 0$ uniformly. In particular, these results hold for the classical Navier-Stokes case.

Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points

Jan Malý (1996)

Commentationes Mathematicae Universitatis Carolinae

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Let $u$ be a weak solution of a quasilinear elliptic equation of the growth $p$ with a measure right hand term $μ$ . We estimate $u (z)$ at an interior point $z$ of the domain $Ω$ , or an irregular boundary point $z \in \partial Ω$ , in terms of a norm of $u$ , a nonlinear potential of $μ$ and the Wiener integral of $𝐑^{n} ∖ Ω$ . This quantifies the result on necessity of the Wiener criterion.

Displaying similar documents to “Interior regularity of weak solutions to the equations of a stationary motion of a non-Newtonian fluid with shear-dependent viscosity. The case q = 3 d d + 2 ”

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Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points

Displaying similar documents to “Interior regularity of weak solutions to the equations of a stationary motion of a non-Newtonian fluid with shear-dependent viscosity. The case $q = \frac{3 d}{d + 2}$ ”