Instabilities in certain one-dimensional singular interfacial equation

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Instabilities in certain one-dimensional singular interfacial equation

机译：某些一维奇异界面方程中的稳定性

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We re-examine a generalized singular equation 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. Our aim is to obtain analytically results on the coarsening process by inspecting the behavior of branch of the steady state periodic solutions.

机译：我们重新检查了一般性的奇异方程，讨论了越来越多的界面的粗化，在ehrlich-schwoebel-dillain屏障中，在没有斜率选择的情况下诱导金字塔型或土墩型结构。我们的目标是通过检查稳态定期解决方案分支的行为来获得分析结果。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2020年第3期|共7页
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正文语种 eng
中图分类物理学;
关键词
growth equation; surface morphology; wave length; amplitude;

机译：生长方程;表面形态;波长;幅度;

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1. Instabilities in certain one-dimensional singular interfacial equation [J] . Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2020,第3期

机译：某些一维奇异界面方程中的稳定性
2. The Well-posedness of Incompressible One-dimensional Two-fluid Model with the Inclusion of the Interfacial Area Transport Equations [J] . Xia Wang, Xiaodong Sun Transactions of the American nuclear society . 2009,第期

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4. HYPERBOLICITY OF ONE-DIMENSIONAL TWO-FLUID MODEL WITH INTERFACIAL AREA TRANSPORT EQUATIONS [C] . Xia Wang, Xiaodong Sun ASME Fluids Engineering Division summer conference;FEDSM2009 . 2009

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5. Continuum and molecular modeling of interfacial dynamics: Interfacial instabilities, melt spinning, and dendrimer adsorption. [D] . Suman, Balram. 2008

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6. Numerical solution of the one-dimensional fractional convection diffusion equations based on Chebyshev operational matrix [O] . Jiaquan Xie, Qingxue Huang, Xia Yang -1

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7. Interfacial Dynamics as Singular Limits of Some PDEs : Method of Matched Asymptotic Expansion (Analytical Studies for Singularities to the Nonlinear Evolution Equation Appearing in Mathematical Physics) [O] . 飯田雅人 2000

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8. Numerical Quadrature Methods for Integrals of Singular Periodic Functions and Their Application to Singular and Weakly Singular Integral Equations [R] . Sidi, A., Israeli, M. 1986

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Instabilities in certain one-dimensional singular interfacial equation

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