2 papers
math.CA2016
Rigorous Results in Existence and Selection of Saffman-Taylor Fingers by Kinetic Undercooling
Xuming Xie
The selection of Saffman-Taylor fingers by surface tension has been extensively investigated. In this paper we are concerned with the existence and selection of steadily translatin…
math.AP2011
Local smoothing effect and existence for a needle crystal growth problem with anisotropic surface tension
Xuming Xie
We study an initial value problem for two-dimensional needle crystal growth with anisotropic surface tension. The initial value problem is derived from the so called one-sided mode…