73 citations · 343 across the 31 of their papers we have counts for
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math.AP2011★ 16 cited
Ill-posedness of degenerate dispersive equations
David M. Ambrose, Gideon Simpson, J. Douglas Wright +1
In this article we provide numerical and analytical evidence that some degenerate dispersive partial differential equations are ill-posed. Specifically we study the K(2,2) equation…
math.AP2011
Analytical and Numerical Results on the Positivity of Steady State Solutions of a Thin Film Equation
Daniel Ginsberg, Gideon Simpson
We consider an equation for a thin-film of fluid on a rotating cylinder and present several new analytical and numerical results on steady state solutions. First, we provide an ele…