An $L^2$-maximal regularity result for the evolutionary Stokes-Fourier system
| Type of publication: | Article |
| Citation: | ncmm-2009-024 |
| Publication status: | Published |
| Journal: | Applicable Analysis |
| Volume: | 90 |
| Number: | 1 |
| Year: | 2011 |
| Pages: | 31--45 |
| ISSN: | 1563-504X |
| URL: | http://www.karlin.mff.cuni.cz/... |
| DOI: | 10.1080/00036811003735931 |
| Abstract: | 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. |
| Keywords: | regularity, Stokes-Fourier system, temperature dependent viscosity |
| Authors | |
| Added by: | [JH] |
| Total mark: | 0 |
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