Some properties of strong solutions to nonlinear heat and moisture transport in multi-layer porous structures

Michal Beneš; Jan Zeman

doi:10.1016/j.nonrwa.2011.11.015

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arXiv · 1008.4391

Some properties of strong solutions to nonlinear heat and moisture transport in multi-layer porous structures

Michal Beneš·Jan Zeman

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Abstract

The present paper deals with mathematical models of heat and moisture transport in layered building envelopes. The study of such processes generates a system of two doubly nonlinear evolution partial differential equations with appropriate initial and boundary conditions. The existence of the strong solution in two dimensions on a (short) time interval is proven. The proof rests on regularity results for elliptic transmission problem for isotropic composite-like materials.

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Michal Beneš, Jan Zeman. 2010-08-25. Some properties of strong solutions to nonlinear heat and moisture transport in multi-layer porous structures. https://doi.org/10.1016/j.nonrwa.2011.11.015

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