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Cusp catastrophe in slowly varying equilibriums
Authors:B. I. Suleimanov
Affiliation:(1) Institute of Mathematics and Computer Center, Ufa Research Center, Russian Academy of Sciences, Ufa, 650077, Russia
Abstract:Solutions of the equations v x+v 3?tv+x=0 and v xx=v 3? tv+x, which describe the nucleation of domain walls occurring in the neighborhood of cusps of slowly varying equilibriums, are analyzed. Examples related to the diffusion in smoothly inhomogeneous media are considered.
Keywords:
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