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- W1637753225 abstract "In this technical report, we consider a nonlinear 4th-order degenerate parabolic partial differential equation that arises in modelling the dynamics of an incompressible thin liquid film on the outer surface of a rotating horizontal cylinder in the presence of gravity. The parameters involved determine a rich variety of qualitatively different flows. Depending on the initial data and the parameter values, we prove the existence of nonnegative periodic weak solutions. In addition, we prove that these solutions and their gradients cannot grow any faster than linearly in time; there cannot be a finite-time blow-up. Finally, we present numerical simulations of solutions." @default.
- W1637753225 created "2016-06-24" @default.
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- W1637753225 date "2009-10-27" @default.
- W1637753225 modified "2023-09-27" @default.
- W1637753225 title "Technical report on a long-wave unstable thin film equation with convection" @default.
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