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The conserved Penrose–Fife system with Fourier heat flux law

✍ Scribed by Elisabetta Rocca; Giulio Schimperna


Book ID
104330522
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
156 KB
Volume
53
Category
Article
ISSN
0362-546X

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✦ Synopsis


A system of phase ÿeld equations of Penrose-Fife-type governing the dynamics of phase transitions with a conserved order parameter is considered. As in the original model, the heat ux is assumed to be given by the Fourier law. Existence of weak solutions is proved for the related initial-Neumann boundary value problem.


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The conserved Penrose–Fife system with t
✍ Elisabetta Rocca 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 283 KB

A nonlinear parabolic system of Penrose-Fife type with a singular evolution term, arising from modelling dynamic phenomena of the nonisothermal diffusive phase separation, is studied. Here, we consider the evolution of a material in which the heat flux is a superposition of two different contributio