On a system of equations of evolution with a non-symmetrical parabolic part occuring in the analysis of moisture and heat transfer in porous media

Jiří Vala

Applications of Mathematics (2002)

  • Volume: 47, Issue: 2, page 187-214
  • ISSN: 0862-7940

Abstract

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Most non-trivial existence and convergence results for systems of partial differential equations of evolution exclude or avoid the case of a non-symmetrical parabolic part. Therefore such systems, generated by the physical analysis of the processes of transfer of heat and moisture in porous media, cannot be analyzed easily using the standard results on the convergence of Rothe sequences (e.g. those of W. Jäger and J. Kačur). In this paper the general variational formulation of the corresponding system is presented and its existence and convergence properties are verified; its application to one model problem (preserving the symmetry in the elliptic, but not in the parabolic part) is demonstrated.

How to cite

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Vala, Jiří. "On a system of equations of evolution with a non-symmetrical parabolic part occuring in the analysis of moisture and heat transfer in porous media." Applications of Mathematics 47.2 (2002): 187-214. <http://eudml.org/doc/33112>.

@article{Vala2002,
abstract = {Most non-trivial existence and convergence results for systems of partial differential equations of evolution exclude or avoid the case of a non-symmetrical parabolic part. Therefore such systems, generated by the physical analysis of the processes of transfer of heat and moisture in porous media, cannot be analyzed easily using the standard results on the convergence of Rothe sequences (e.g. those of W. Jäger and J. Kačur). In this paper the general variational formulation of the corresponding system is presented and its existence and convergence properties are verified; its application to one model problem (preserving the symmetry in the elliptic, but not in the parabolic part) is demonstrated.},
author = {Vala, Jiří},
journal = {Applications of Mathematics},
keywords = {PDE’s of evolution; method of Rothe; porous media; moisture and heat transfer; full parabolic system; nonlinear parabolic system},
language = {eng},
number = {2},
pages = {187-214},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a system of equations of evolution with a non-symmetrical parabolic part occuring in the analysis of moisture and heat transfer in porous media},
url = {http://eudml.org/doc/33112},
volume = {47},
year = {2002},
}

TY - JOUR
AU - Vala, Jiří
TI - On a system of equations of evolution with a non-symmetrical parabolic part occuring in the analysis of moisture and heat transfer in porous media
JO - Applications of Mathematics
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 2
SP - 187
EP - 214
AB - Most non-trivial existence and convergence results for systems of partial differential equations of evolution exclude or avoid the case of a non-symmetrical parabolic part. Therefore such systems, generated by the physical analysis of the processes of transfer of heat and moisture in porous media, cannot be analyzed easily using the standard results on the convergence of Rothe sequences (e.g. those of W. Jäger and J. Kačur). In this paper the general variational formulation of the corresponding system is presented and its existence and convergence properties are verified; its application to one model problem (preserving the symmetry in the elliptic, but not in the parabolic part) is demonstrated.
LA - eng
KW - PDE’s of evolution; method of Rothe; porous media; moisture and heat transfer; full parabolic system; nonlinear parabolic system
UR - http://eudml.org/doc/33112
ER -

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