Boundary value problem for a phase transition model

Mauro  Garavello; Mauro  Garavello

doi:10.3934/nhm.2016.11.89

Networks and Heterogeneous Media

2016, Volume 11, Issue 1: 89-105. doi: 10.3934/nhm.2016.11.89

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Boundary value problem for a phase transition model

Mauro Garavello ^{1
,}

1.
Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, via R. Cozzi 55, 20125 Milano

Received: 01 April 2015 Revised: 01 September 2015
Primary: 35L65; Secondary: 90B20.

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.
- Phase transition model,
- hyperbolic conservation laws,
- Cauchy problem,
- wave-front tracking technique
Citation: Mauro Garavello. Boundary value problem for a phase transition model[J]. Networks and Heterogeneous Media, 2016, 11(1): 89-105. doi: 10.3934/nhm.2016.11.89

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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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