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A fourth-order degenerate parabolic equation describing thin viscous flows over an inclined plane |
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| Authors: | L. Giacomelli |
| Affiliation: | Dip. di Matematica, Università di Roma “La Sapienza” Piazzale Aldo Moro 2, 00185, Roma, Italy |
| Abstract: | We prove the existence of nonnegative weak solutions for a fourth-order nonlinear degenerate parabolic equation which arises in the description of thin viscous flows over an inclined plane. Regularity, positivity properties, and large-time behaviour of these solutions are also discussed. |
| Keywords: | Higher-order degenerate parabolic equations Thin films |
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