Weak formulation for nonlinear hyperbolic Stefan problems.
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Durando, S. (1999)
Rendiconti del Seminario Matematico
Elisabetta Rocca (2005)
Applications of Mathematics
This work is concerned with the study of an initial boundary value problem for a non-conserved phase field system arising from the Penrose-Fife approach to the kinetics of phase transitions. The system couples a nonlinear parabolic equation for the absolute temperature with a nonlinear hyperbolic equation for the phase variable , which is characterized by the presence of an inertial term multiplied by a small positive coefficient . This feature is the main consequence of supposing that the response...
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