The lubrication approximation for thin viscous films: Regularity and long-time behavior of weak solutions.(English)Zbl 0863.76017

Some properties of weak solutions for the fourth-order degenerate diffusion equation $$h_t=- \nabla\cdot (f(h)\nabla\triangle h)$$ in one space dimension are established.

MSC:

 76D08 Lubrication theory 35K65 Degenerate parabolic equations 35Q35 PDEs in connection with fluid mechanics
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