Article Contents
Article Contents

# Stable and unstable initial configuration in the theory wave fronts

• In this paper we study the wavefront like phase transition of solutions of a parabolic nonlinear boundary value problem used to model phase transitions in the theory of boiling liquids. Using weak supersolutions we provide bounds for the propagation speed of such a phase transition. Also we construct stable supersolutions to initial configurations which have locally supercritical values.
Mathematics Subject Classification: Primary: 35K99, Secondary: 35B35, 35B40, 35D30.

 Citation:

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