TY  - JOUR
ID  - Berselli2020
LB  - Berselli2020
AU  - Berselli, Luigi C.
AU  - Růžička, Michael
TI  - On the regularity of solution to the time-dependent p-Stokes system
ST  - On the regularity of solution to the time-dependent p-Stokes system
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2020
VL  - 40
IS  - 1
SP  - 49
EP  - 69
DO  - https://doi.org/10.7494/OpMath.2020.40.1.49
UR  - https://doi.org/10.7494/OpMath.2020.40.1.49
AB  - In this paper we consider the time evolutionary \(p\)-Stokes problem in a smooth and bounded domain. This system models the unsteady motion or certain non-Newtonian incompressible fluids in the regime of slow motions, when the convective term is negligible. We prove results of space/time regularity, showing that first-order time-derivatives and second-order space-derivatives of the velocity and first-order space-derivatives of the pressure belong to rather natural Lebesgue spaces.
KW  - regularity
KW  - evolution problem
KW  - \(p\)-Stokes
SN  - 1232-9274
ER  -