82 citations · 320 across the 12 of their papers we have counts for
14 papers
On the initial value problem for the electromagnetic wave equation in Friedmann-Robertson-Walker space-times
Walter Craig, Mikale Reddy
We solve the source free electromagnetic wave equation in Friedmann-Robertson-Walker space-times for curvature and . Deriving a solution expression in the form of spher…
Steady waves in flows over periodic bottoms
Walter Craig, Carlos García-Azpeitia
We study the formation of steady waves in two-dimensional fluids under a current with mean velocity flowing over a periodic bottom. Using a formulation based on the Dirichlet-N…
Standing waves of fixed period for vortex filaments
Walter Craig, Carlos García-Azpeitia
The vortex filament problem has explicit solutions consisting of parallel filaments of equal circulation in the form of nested polygons uniformly rotating around a centra…
Bloch theory and spectral gaps for linearized water waves
Walter Craig, Maxime Gazeau, Christophe Lacave +1
The system of equations for water waves, when linearized about equilibrium of a fluid body with a varying bottom boundary, is described by a spectral problem for the Dirichlet -- N…
On the Hamiltonian for water waves
Walter Craig
Many equations that arise in a physical context can be posed in the form of a Hamiltonian system, meaning that there is a symplectic structure on an appropriate phase space, and a…
Standing waves in near-parallel vortex filaments
W. Craig, C. Garcia-Azpeitia, C-R. Yang
A model derived in [14] for n near-parallel vortex filaments in a three dimensional fluid region takes into consideration the pairwise interaction between the filaments along with…