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 of atoms onto the surface and the relaxation of the surface profile through surface diffusion. It consists of a nonlinear fourth order partial differential equation. Using energy methods we prove the well-posedness (i.e.. existence, uniqueness and stability with respect to the initial data) of the classical solutions for the Cauchy problem, associated with this equation.
On the Classical Solutions for the Kuramoto-Sivashinsky Equation with Ehrilch-Schwoebel Effects / Coclite, Gm; Di Ruvo, L (CONTEMPORARY MATHEMATICS). - In: CONTEMPORARY MATHEMATICSSTAMPA. - [s.l], 2022. - pp. 386-431 [10.37256/cm.3420221607]
On the Classical Solutions for the Kuramoto-Sivashinsky Equation with Ehrilch-Schwoebel Effects
Coclite, GM
;
2022-01-01
Abstract
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 of atoms onto the surface and the relaxation of the surface profile through surface diffusion. It consists of a nonlinear fourth order partial differential equation. Using energy methods we prove the well-posedness (i.e.. existence, uniqueness and stability with respect to the initial data) of the classical solutions for the Cauchy problem, associated with this equation.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
