Research article

On the Caginalp phase-field system based on the Cattaneo law with nonlinear coupling

  • Received: 02 April 2016 Accepted: 15 April 2016 Published: 27 April 2016
  • We focus in this paper on a Caginalp phase-field system based on the Cattaneo law with nonlinear coupling. We start our analysis by establishing existence, uniqueness and regularity based on Moser’s iterations. We finish with the study of the spatial behavior of the solutions in a semi-infinite cylinder, assuming the existence of such solutions.

    Citation: Armel Andami Ovono, Alain Miranville. On the Caginalp phase-field system based on the Cattaneo law with nonlinear coupling[J]. AIMS Mathematics, 2016, 1(1): 24-42. doi: 10.3934/Math.2016.1.24

    Related Papers:

  • We focus in this paper on a Caginalp phase-field system based on the Cattaneo law with nonlinear coupling. We start our analysis by establishing existence, uniqueness and regularity based on Moser’s iterations. We finish with the study of the spatial behavior of the solutions in a semi-infinite cylinder, assuming the existence of such solutions.


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