Abstract
AbstractThe full quasistatic thermomechanical system of PDEs, describing water diffusion with the possibility of freezing and melting in a visco-elasto-plastic porous solid, is studied in detail under the hypothesis that the pressure-saturation hysteresis relation is given in terms of the Preisach hysteresis operator. The resulting system of balance equations for mass, momentum, and energy coupled with the phase dynamics equation is shown to admit a global solution under general assumptions on the data.
Funder
Austrian Science Fund
Grantová Agentura Ceské Republiky
Ministerstvo S̆kolství, Mládez̆e a Telovýchovy
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
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