Revista Matemática Iberoamericana


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Volume 20, Issue 1, 2004, pp. 257–275
DOI: 10.4171/RMI/388

Published online: 2004-04-30

Application of accretive operators theory to evolutive combined conduction, convection and radiation

Maria Michaela Porzio[1] and Óscar López-Pouso[2]

(1) Sapienza Università di Roma, Italy
(2) Universidad de Santiago de Compostela, Spain

The accretive operators theory is employed for proving an existence theorem for the evolutive energy equations involving simultaneously conduction, stationary convection (in the sense that the velocity field is assumed to be time independent), and radiation. In doing that we need to use new existence results for elliptic linear problems with mixed boundary conditions and irregular data.

Keywords: Radiative heat transfer combined with conduction and convection, accretive operators, mixed boundary conditions, irregular data

Porzio Maria Michaela, López-Pouso Óscar: Application of accretive operators theory to evolutive combined conduction, convection and radiation. Rev. Mat. Iberoam. 20 (2004), 257-275. doi: 10.4171/RMI/388