1 citations · 1 across the 2 of their papers we have counts for
7 papers
The Kawahara Equation: Traveling Wave Solutions Joining Periodic Waves
Patrick Sprenger, Thomas J. Bridges, Michael Shearer
The Kawahara equation is a weakly nonlinear long-wave model of dispersive waves that emerges when leading order dispersive effects are in balance with the next order correction. Tr…
Dispersive Riemann problem for the Benjamin-Bona-Mahony equation
T. Congy, G. A. El, M. A. Hoefer +1
Long time dynamics of the smoothed step initial value problem or dispersive Riemann problem for the Benjamin-Bona-Mahony (BBM) equation are studied using asy…
Distinguishing deformation mechanisms in elastocapillary experiments
Shih-Yuan Chen, Aaron Bardall, Michael Shearer +1
Soft materials are known to deform due to a variety of mechanisms, including capillarity, buoyancy, and swelling. In this paper, we present experiments on polyvinylsiloxane gel thr…
Gradient Induced Droplet Motion Over Soft Solids
Aaron Bardall, Shih-Yuan Chen, Karen E. Daniels +1
Fluid droplets can be induced to move over rigid or flexible surfaces under external or body forces. We describe the effect of variations in material properties of a flexible subst…
Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure
T. Congy, G. A. El, M. A. Hoefer +1
The nonlinear Schrödinger (NLS) equation and the Whitham modulation equations both describe slowly varying, locally periodic nonlinear wavetrains, albeit in differing amplitude-fre…
A Scalar Conservation Law for Plume Migration in Carbon Sequestration
Elisabeth Brown, Michael Shearer
A quasi-linear hyperbolic partial differential equation with a discontinuous flux models geologic carbon dioxide migration and storage. Dual flux curves characterize the model, giv…