A free boundary problem for the dynamics of a glasslike binary fluid naturally leads to singular perturbation strongly degenerate parabolic partial differential equation in 1D. We present conjecture an asymptotic formula velocity and prove weak version conjecture. The results are based on analysis family local travelling wave solutions.

With the advancement in 3D scanning technology, there has been a surge of interest use point clouds science and engineering. To facilitate computations analyses clouds, prior works have considered parameterizing them onto some simple planar domains with fixed boundary shape such as unit circle or rectangle. However, geometry may lead to undesirable distortion parameterization. It is therefore m...