Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (I) Existence and uniform boundedness
Ming Mei, Yau Shu Wong, Liping Liu · Discrete and Continuous Dynamical Systems - B · 2007
This paper focuses on the phase transitions of a 2$\times$2 system of mixed type forviscosity-capillarity with periodic initial-boundary condition ina viscoelastic material. By the Liapunov functional method, weprove the existence, uniqueness, regularity and uniformboundedness of the solution. The results are correct even for large initial data.