Existence Theory for Generalized Newtonian Fluids

Notation

Formula	Meaning
C	Continuous functions
C α	α-Hölder continuous functions
C k	k-times continuously differentiable functions
C ∞	∞-times continuously differentiable functions
spt(φ)	Support of φ
$C_0^{\infty }$	C∞-functions with compact support
$C_0^k$	Ck-functions with compact support
${\mathcal{D}}^{\prime }$	Dual of $C_0^{\infty }$
$C_{0,\mathrm{div}}^{\infty }$	$C_0^{\infty }$-functions with vanishing divergence ...