We consider the boundary value problem for the phase transition (PT) model, introduced in [4] and in [7]. By using the wave-front tracking technique, we prove existence of solutions when the initial and boundary conditions have finite total variation.
Garavello, M. (2016). Boundary value problem for a phase transition model. NETWORKS AND HETEROGENEOUS MEDIA, 11(1), 89-105 [10.3934/nhm.2016.11.89].
Boundary value problem for a phase transition model
GARAVELLO, MAURO
2016
Abstract
We consider the boundary value problem for the phase transition (PT) model, introduced in [4] and in [7]. By using the wave-front tracking technique, we prove existence of solutions when the initial and boundary conditions have finite total variation.
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