A waiting time phenomenon for thin film equations

Roberta Dal Passo; Lorenzo Giacomelli; Günther Grün

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The support shrinking properties for solutions of quasilinear parabolic equations with strong absorption terms

Stanislav Antontsev, Jesus Ildefonso Díaz, Serguei I. Shmarev (1995)

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The dipole solution for the porous medium equation in several space dimensions

Josephus Hulshof, Juan Luis Vazquez (1993)

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Large time behaviour of a diffusion equation with strong convection

S. Claudi, R. Natalini, A. Tesei (1994)

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Solutions of a fourth order degenerate parabolic equation with weak initial trace

Roberta Dal Passo, Harald Garcke (1999)

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Numerical methods for fourth order nonlinear degenerate diffusion problems

Jürgen Becker, Günther Grün, Martin Lenz, Martin Rumpf (2002)

Applications of Mathematics

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Numerical schemes are presented for a class of fourth order diffusion problems. These problems arise in lubrication theory for thin films of viscous fluids on surfaces. The equations being in general fourth order degenerate parabolic, additional singular terms of second order may occur to model effects of gravity, molecular interactions or thermocapillarity. Furthermore, we incorporate nonlinear surface tension terms. Finally, in the case of a thin film flow driven by a surface active...