F. Bernis et La. Peletier, 2 PROBLEMS FROM DRAINING FLOWS INVOLVING 3RD-ORDER ORDINARY DIFFERENTIAL-EQUATIONS, SIAM journal on mathematical analysis, 27(2), 1996, pp. 515-527
A mathematical analysis is given of two third-order ordinary different
ial equations which arise in models for flows of thin viscous films ov
er solid surfaces. Questions about existence, uniqueness, and qualitat
ive properties of solutions are discussed.