Well-posedness of the classical solution for the Kuramto–Sivashinsky equation with anisotropy effects
نویسندگان
چکیده
Abstract The Kuramto–Sivashinsky equation with anisotropy effects models the spinodal decomposition of phase separating systems in an external field, spatiotemporal evolution morphology steps on crystal surfaces and growth thermodynamically unstable strongly anisotropic surface tension. Written terms step slope, it can be represented a form similar to convective Cahn–Hilliard equation. In this paper, we prove well-posedness classical solutions for Cauchy problem, associated
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ژورنال
عنوان ژورنال: Zeitschrift für Angewandte Mathematik und Physik
سال: 2021
ISSN: ['1420-9039', '0044-2275']
DOI: https://doi.org/10.1007/s00033-021-01506-w