Abstract
We investigate the spreading of thin liquid films of power-law rheology. We construct an explicit travelling wave solution and source-type similarity solutions. We show that when the nonlinearity exponent λ for the rheology is larger than one, the governing dimensionless equation h t + ( h λ+2 | h xxx | λ−1 h xxx ) x =0 admits solutions with compact support and moving fronts. We also show that the solutions have bounded energy dissipation rate.
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