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math.AP2014
Global bifurcation theory for periodic traveling interfacial gravity-capillary waves
David M. Ambrose, Walter A. Strauss, J. Douglas Wright
We consider the global bifurcation problem for spatially periodic traveling waves for two-dimensional gravity-capillary vortex sheets. The two fluids have arbitrary constant, non-n…
math.AP2014★ 2 cited
Nonexistence of small doubly periodic solutions for dispersive equations
David M. Ambrose, J. Douglas Wright
We study the question of existence of time-periodic, spatially periodic solutions for dispersive evolution equations, and in particular, we introduce a framework for demonstrating…