| Abstract: |
| The phenomenological evolution equation for one spatial dimension is analyzed with the destabilizing term and the diffusion term. A generalized singular equation is examined to discuss the coarsening of growing interfaces, in the presence of Ehrlich-Schwoebel-Villain barrier that induces a pyramidal or mound-type structure without slope selection. It will be shown that the equation has periodic and not periodic solutions as well. For large slope M of the particular solution we gave the connection between M and the amplitude or the wavelength. For the periodic solutions the dispersion relation have been shown indicating that the model exhibits the coarsening phenomena. |
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