Global Weak Solution for Phase Transition Equations with Polarization

Fangfang Li and Yansheng Ma ()
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Fangfang Li: School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
Yansheng Ma: School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Mathematics, 2024, vol. 12, issue 8, 1-20

Abstract: This paper deals with a phase transition model with polarization which describes the thermodynamic, electromagnetic, and polarization properties of ferromagnetic–ferroelectric materials. The existence of the global weak solution for the phase transition equations with polarization is rigorously established through the viscosity vanishing argument.

Keywords: phase transition equations; polarization; viscosity vanishing argument; global weak solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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