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math.AP2000
Heteroclinic orbits, mobility parameters and stability for thin film type equations
R. S. Laugesen, M. C. Pugh
We study numerically the phase space of the evolution equation h_t = -(h^n h_{xxx})_x - B (h^m h_x)_x . Here h(x,t) is nonnegative, n>0 and m is real, and the Bond number B is posi…
math.AP2000
Energy levels of steady states for thin film type equations
R. S. Laugesen, M. C. Pugh
We study the phase space of the evolution equation h_t = -(f(h) h_{xxx})_x - (g(h) h_x)_x by means of a dissipated energy (a Liapunov function). Here h(x,t) is nonnegative, and at…