Abergel, F.; Hilhorst, D.; Issard-Roch, F. On a dissolution-growth problem with surface tension in the neighborhood of a stationary solution. (English) Zbl 0812.35053 SIAM J. Math. Anal. 24, No. 2, 299-316 (1993). Summary: The authors consider a one-phase Stefan problem with surface tension in dimension two and show a well-posedness result in the neighborhood of a stationary solution, in the case that the moving interface is parametrized in the form \(y= f(x,t)\). Cited in 6 Documents MSC: 35K55 Nonlinear parabolic equations 35R35 Free boundary problems for PDEs 35Q35 PDEs in connection with fluid mechanics Keywords:surface tension; one-phase Stefan problem; well-posedness result PDFBibTeX XMLCite \textit{F. Abergel} et al., SIAM J. Math. Anal. 24, No. 2, 299--316 (1993; Zbl 0812.35053) Full Text: DOI Link