TY  - JOUR
ID  - ncmm-2009-024
T1  - An $L^2$-maximal regularity result for the evolutionary Stokes-Fourier system
A1  - Bulíček, Miroslav
A1  - Kaplický, Petr
A1  - Málek, Josef
JA  - Applicable Analysis
Y1  - 2011
VL  - 90
IS  - 1
SP  - 31
EP  - 45
SN  - 1563-504X
UR  - http://www.karlin.mff.cuni.cz/ncmm/preprints/09109151523pr24.pdf
M2  - doi: 10.1080/00036811003735931
KW  - regularity
KW  - Stokes-Fourier system
KW  - temperature dependent viscosity
N2  - We establish an L2-regularity result for a weak solution of the evolutionary Stokes–Fourier system. Although this system does not contain the convective terms, the fact that the viscosity depends on the temperature makes the considered system of partial differential equations nonlinear. The result holds for a class of the viscosities that includes the Arrhenius formula as a special case. For simplicity, we restrict ourselves to a spatially periodic setting in this study.
ER  -