Taranets, R. M. Propagation of perturbations in thin capillary film equations with nonlinear diffusion and convection. (Russian, English) Zbl 1150.35445 Sib. Mat. Zh. 47, No. 4, 914-931 (2006); translation in Sib. Math. J. 47, No. 4, 751-766 (2006). Summary: We study the evolution of the support of an arbitrary strong generalized solution to the Cauchy problem for the thin film equation with nonlinear diffusion and convection. We find an upper bound exact (in a sense) for the propagation speed of the support of this solution. Cited in 7 Documents MSC: 35K55 Nonlinear parabolic equations 35K65 Degenerate parabolic equations 35Q35 PDEs in connection with fluid mechanics Keywords:thin film equation; convection; Cauchy problem; evolution of the support PDFBibTeX XMLCite \textit{R. M. Taranets}, Sib. Mat. Zh. 47, No. 4, 914--931 (2006; Zbl 1150.35445); translation in Sib. Math. J. 47, No. 4, 751--766 (2006) Full Text: EuDML EMIS