A thermoelastic contact problem with a phase transition
- Hömberg, Dietmar
- Khludnev, Alexander
2010 Mathematics Subject Classification
- 35K85 74N25 74F05 74M15
- Thermoelasticity, phase transition, contact problem
We investigate a thermomechanical contact problem with phase transitions. The system of equations consists of a quasistatic momentum balance and a semilinear energy balance. The phase transition is described by an ordinary differential equation. Different mechanical properties of the respective phases are taken care of by a mixture ansatz. We prove the existence of a weak solution and a uniqueness result, the latter only being valid in one space dimension.
- IMA J. Appl. Math., 71 (2006) pp. 479--495.