Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (I) Existence and uniform boundedness | Zendy

Ming Mei | Zendy; Yau Shu Wong | Zendy; Liping Liu | Zendy

Open Access

Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (I) Existence and uniform boundedness

Author(s) -

Ming Mei,

Yau Shu Wong,

Liping Liu

Publication year - 2007

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2007.7.825

Subject(s) - uniqueness , viscoelasticity , mathematical analysis , mathematics , boundary value problem , boundary (topology) , periodic boundary conditions , phase (matter) , physics , thermodynamics , quantum mechanics

This paper focuses on the phase transitions of a 2$\times$2 system of mixed type for viscosity-capillarity with periodic initial-boundary condition in a viscoelastic material. By the Liapunov functional method, we prove the existence, uniqueness, regularity and uniform boundedness of the solution. The results are correct even for large initial data.

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