PUMA
Istituto di Matematica Applicata e Tecnologie Informatiche     
Schimperna G. Weak solution to a phase-field transmission problem in a concentrated capacity. Preprint ercim.cnr.ian//1998-1081, 1998.
 
 
Abstract
(English)
The heat diffusion in a fluid with possible phase change is studied as the boundary condition in a part of the edge of the considered region consists in another diffusion equation for the traces of the unknowns. This feature, called concentrated capacity}, arises as the limit situation of a family of heat transmission problems between the original body and a shrinking outer neighbourhood of that part of its boundary. The phase field model is adopted for the physical description. A weak solution for the resulting parabolic system is obtained coming back to the original transmission framework and using approximation techniques (Faedo-Galerkin scheme, Yosida regularization).
Subject Phase-field transmission


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