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AIMS Mathematics

2018, Volume 3, Issue 2: 298-315. doi: 10.3934/Math.2018.2.298
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Research article

Phase-field system with two temperatures and a nonlinear coupling term

  • Université des Sciences et Techniques de Masuku (USTM), Unité de Recherche en Mathématiques et Informatique (URMI), BP 943 Franceville, Gabon
  • Received: 04 May 2018 Accepted: 23 May 2018 Published: 01 June 2018

  • The subject of this paper is the qualitative study of a generalization of Caginalp phase-field system involving two temperatures and a nonlinear coupling. First, we prove the well-posedness of the corresponding initial and boundary value problem, and we study the dissipativity properties of the system, in terms of bounded absorbing sets. We end by analyzing the spatial behavior of solutions in a semi-infinite cylinder, assuming the existence of such solutions.

    Citation: Brice Landry Doumbé Bangola. Phase-field system with two temperatures and a nonlinear coupling term[J]. AIMS Mathematics, 2018, 3(2): 298-315. doi: 10.3934/Math.2018.2.298

    Related Papers:

  • The subject of this paper is the qualitative study of a generalization of Caginalp phase-field system involving two temperatures and a nonlinear coupling. First, we prove the well-posedness of the corresponding initial and boundary value problem, and we study the dissipativity properties of the system, in terms of bounded absorbing sets. We end by analyzing the spatial behavior of solutions in a semi-infinite cylinder, assuming the existence of such solutions.


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