6 citations · 11 across the 10 of their papers we have counts for
5 papers · 1 filter
Free vibrations in a wave equation modeling MEMS
Carlos García-Azpeitia, Jean-Philippe Lessard
We study a nonlinear wave equation appearing as a model for a membrane (without viscous effects) under the presence of an electrostatic potential with strength . The membrane ha…
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…
Standing waves in a counter-rotating vortex filament pair
Carlos García-Azpeitia
The distance among two counter-rotating vortex filaments satisfies a beam-type of equation according to the model derived in [15]. This equation has an explicit solution where two…
The onset of layer undulations in smectic A liquid crystals due to a strong magnetic field
A. Contreras, C. García-Azpeitia, C. J. García-Cervera +1
We investigate the effect of a strong magnetic field on a three dimensional smectic A liquid crystal. We identify a critical field above which the uniform layered state loses stabi…