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math.AP2010★ 9 cited
Convergence to equilibrium for a thin film equation on a cylindrical surface
Almut Burchard, Marina Chugunova, Benjamin K. Stephens
The degenerate parabolic equation u_t + [u^3(u_xxx + u_x - sin x)]_x=0 models the evolution of a thin liquid film on a stationary horizontal cylinder. It is shown here that for eac…
math.AP2010
On the energy-minimizing steady states of a thin film equation
Almut Burchard, Marina Chugunova, Benjamin K. Stephens
Steady states of the thin film equation are considered on the periodic domain . The equation defines a generalized gradient f…
math.AP2007
Thread-wire surfaces: Near-wire minimizers and topological finiteness (superseded)
Benjamin K. Stephens
(NOTE: per referee comments, this article has been split; it is now superseded by "Existence of thread-wire minimizers" and "Near-wire thread-wire minimizers"; please see http://ww…