1 citations · 1 across the 3 of their papers we have counts for
3 papers
Global existence and singularity formation for the generalized Constantin-Lax-Majda equation with dissipation: The real line vs. periodic domains
David M. Ambrose, Pavel M. Lushnikov, Michael Siegel +1
The question of global existence versus finite-time singularity formation is considered for the generalized Constantin-Lax-Majda equation with dissipation , where $\widehat {…
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…
Dispersion vs. anti-diffusion: well-posedness in variable coefficient and quasilinear equations of KdV-type
J. Douglas Wright, David M. Ambrose
We study the well-posedness of the initial value problem on periodic intervals for linear and quasilinear evolution equations for which the leading-order terms have three spatial d…