<p>The conserved Kuramoto–Sivashinsky equation has been derived in the context of crystal growth. In this paper, we study the existence, uniqueness, and stability with respect to the initial data of the initial value problem.</p>

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On the Solutions for the Conserved Kuramoto–Sivashinsky Equation

  • Giuseppe Maria Coclite,
  • Lorenzo di Ruvo

摘要

The conserved Kuramoto–Sivashinsky equation has been derived in the context of crystal growth. In this paper, we study the existence, uniqueness, and stability with respect to the initial data of the initial value problem.