Geodesic
The thin film equation with backwards second order diffusion
Amy Novick-Cohen1 ; Andrey Shishkov2
1Technion - Israel Institute of Technology, Haifa, Israel
2Academy of Sciences of Ukraine, Donetsk, Ukraine
Interfaces and free boundaries, Tome 12 (2010) no. 4, pp. 463-496

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DOI

We focus on the thin film equation with lower order “backwards” diffusion which can describe, for example, the evolution of thin viscous films in the presence of gravity and thermo-capillary effects, or the thin film equation with a “porous media cutoff” of van der Waals forces. We treat in detail the equation
DOI : 10.4171/ifb/242
Classification : 35-XX, 76-XX, 00-XX
Mots-clés : Thin film equation; backwards diffusion; higher order parabolic equations; degenerate parabolic equations; finite speed of propagation

Amy Novick-Cohen  1   ; Andrey Shishkov  2

1 Technion - Israel Institute of Technology, Haifa, Israel
2 Academy of Sciences of Ukraine, Donetsk, Ukraine 
Amy Novick-Cohen; Andrey Shishkov. The thin film equation with backwards second order diffusion. Interfaces and free boundaries, Tome 12 (2010) no. 4, pp. 463-496. doi: 10.4171/ifb/242
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     title = {The thin film equation with backwards second order diffusion},
     journal = {Interfaces and free boundaries},
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     year = {2010},
     volume = {12},
     number = {4},
     doi = {10.4171/ifb/242},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/242/}
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