An L2-maximal regularity result for the evolutionary Stokes-Fourier system

作者：Bulicek Miroslav; Kaplicky Petr; Malek Josef^*

来源：Applicable Analysis, 2011, 90(1): 31-45.

DOI：10.1080/00036811003735931

• regularity
• Stokes-Fourier system
• temperature-dependent viscosity

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.

• 出版日期2011