摘要
We study capillary spreadings of thin films of liquids of power-law rheology. These satisfy ut＋（u^λ＋2｜uxxx｜^λ-1uxxx）x=0,where u （x, t） represents the thickness of the one-dimensional liquid and λ 〉 1. We look for traveling wave solutions so that u（x,t） =g（x＋ct） and thus g satisfies g＇＇＇=｜g-ε｜^1/λ/g^1＋2/λ sgn（g-ε） We show that for each ε 〉 0 there is an infinitely oscillating solution, gε, such that limt→∞ gε=ε and that gε→ g0 as ε → O, where g0≡ 0 for t ≥ 0 and g0=cλ｜t｜3λ/2λ＋1 for t〈0 for some constant cλ.
