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

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

2010-08-25

arxiv.org/abs/1008.4391v3

Nonlinear Analysis: Real World Applications, 13 (4), 1562-1580, (2012)

Mathematics

Analysis of PDEs

34 pages, 3 figures

Scientific paper

10.1016/j.nonrwa.2011.11.015

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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