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Pearling and Pinching: Propagation of Rayleigh Instabilities
Thomas R. Powers, Raymond E. Goldstein
A new category of front propagation problems is proposed in which a spreading instability evolves through a singular configuration before saturating. We examine the nature of this…
Traveling-Wave Chemotaxis
Raymond E. Goldstein
A simple model is studied for the chemotactic movement of biological cells in the presence of a periodic chemical wave. It incorporates the feature of adaptation that may play an i…
Current-Loop Model for the Intermediate State of Type-I Superconductors
Raymond E. Goldstein, David P. Jackson, Alan T. Dorsey
A theory is developed of the intricately fingered patterns of flux domains observed in the intermediate state of thin type-I superconductors. The patterns are shown to arise from t…
A Nonlocal Contour Dynamics Model for Chemical Front Motion
Dean M. Petrich, Raymond E. Goldstein
Pattern formation exhibited by a two-dimensional reaction-diffusion system in the fast inhibitor limit is considered from the point of view of interface motion. A dissipative nonlo…