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This paper presents a phase-field model to describe the motion of deformable, self-propelled objects influenced by surface tension, combining an Allen-Cahn-type equation with a reaction-diffusion equation for surfactant concentration. As the interface-thickness parameter approaches zero, the model converges to a sharp-interface limit, allowing for the characterization of singular limits and the existence of weak solutions. The findings contribute to the understanding of self-propelled systems, particularly

Author

Enzo Ric

Language

EN