Cusp catastrophe in slowly varying equilibriums |
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Authors: | B I Suleimanov |
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Institution: | (1) Institute of Mathematics and Computer Center, Ufa Research Center, Russian Academy of Sciences, Ufa, 650077, Russia |
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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. |
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