Abstract
In this article, the author investigates the initial boundary value problem for a class of metaparabolic equations, which arise in the dynamics of viscous first-order phase transitions in cooling binary solutions. By using the method of continuity, we establish the existence of weak solutions.
Acknowledgement
The author would like to thank Prof. Yin Jingxue for the discussion and the referee's valuable suggestions for the revision and improvement of the manuscript.