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Thin film flow is described by an important type of nonlinear degenerate fourth order parabolic PDE.
The analysis couples the Reynolds equation for the thin film flow of an ideal gas to the elastic supports deflections.
A new adaptive local mesh refinement method is presented for thin film flow problems containing moving contact lines.
These represent models of a thin film flow of a spreading viscous droplet and a multi-phase-field model of tumour growth.
Gravity-driven thin film flow is of importance in many fields, as well as for the design of polymeric drug delivery vehicles, such as anti-HIV topical microbicides.
Our model equation is ut+ u2-u3)x="-(ut+ u2-u3 which arises in the context of thin film flow.
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Specific content will include: Hydrodynamic Stability and Turbulence, Coherent Structures and Dynamical Systems, Methods for Numerical Simulation, Multiphase and Non-Newtonian Flows, Thin Film Flows, Biophysical, Geophysical and Astrophysical Flows, Active Matter Flows, Viscous Electronics.
The thermocapillary and slip effects on the thin film flows are examined by a thin film model.
Although focused on a specific model problem here, it is likely that the mathematical structure uncovered may be generalized to other thin film flows with critical points.
Our results offer insight into the influence of wall slippage on the dynamics of thin film flows coating on cylinders in non-isothermal environments.
Our model equation is a phase-field model of infiltration, but the proposed discretization can be directly extended to similar equations arising in thin film flows.
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CEO of Professional Science Editing for Scientists @ prosciediting.com