43 citations · 99 across the 23 of their papers we have counts for
4 papers · 2 filters
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…
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…
Local Existence Theory for Derivative Nonlinear Schrödinger Equations with Non-Integer Power Nonlinearities
David M. Ambrose, Gideon Simpson
We study a derivative nonlinear Schrödinger equation, allowing non-integer powers in the nonlinearity, . Making careful use of the energy method, we are able to estab…
Serfati solutions to the 2D Euler equations on exterior domains
David M. Ambrose, James P. Kelliher, Milton C. Lopes Filho +1
We prove existence and uniqueness of a weak solution to the incompressible 2D Euler equations in the exterior of a bounded smooth obstacle when the initial data is a bounded diverg…