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Overview

Surface tension provides necessary forces for the formation of bubbles with water. The tendency to minimize this wall tension causes the bubble to evolve into a spherical shape with complex dynamics that are visually appealing. We propose a variational formulation for the dynamics of an incompressible bubble under the in uence of surface tension forces. We derive the Euler-Lagrange equations for a continuous closed curve in 2D and discuss the discretization of this problem and approximations that allow us to simulate this problem eciently on a computer.

Links

Paper: MATH7581 Final report

Video: Coming soon