On the Classical Solutions for the Kuramoto-Sivashinsky Equation with Ehrilch-Schwoebel Effects
نویسندگان
چکیده
The Kuramoto-Sivashinsky equation with Ehrilch-Schwoebel effects models the evolution of surface morphology during Molecular Beam Epitaxy growth, provoked by an interplay between deposition atoms onto and relaxation profile through diffusion. It consists a nonlinear fourth order partial differential equation. Using energy methods we prove well-posedness (i.e., existence, uniqueness stability respect to initial data) classical solutions for Cauchy problem, associated this
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ژورنال
عنوان ژورنال: Contemporary mathematics
سال: 2022
ISSN: ['2705-1056', '2705-1064']
DOI: https://doi.org/10.37256/cm.3420221607