5 papers
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation
Guo Deng, Christopher J. Lustri
Travelling waves in woodpile chains are typically nanoptera, which are composed of a central solitary wave and exponentially small oscillations. These oscillations have been studie…
Nanoptera in weakly nonlinear woodpile and diatomic granular chains
Guo Deng, Christopher J. Lustri, Mason A. Porter
We study ``nanoptera'', which are non-localized solitary waves with exponentially small but non-decaying oscillations, in two singularly-perturbed Hertzian chains with precompressi…
On Asymptotics of Optimal Stopping Times
Hugh Entwistle, Christopher Lustri, Georgy Sofronov
We consider optimal stopping problems, in which a sequence of independent random variables is drawn from a known continuous density. The objective of such problems is to find a pro…
Selection of a Hele-Shaw bubble via exponential asymptotics
Christopher J. Lustri, Christopher C. Green, Scott W. McCue
The well-studied selection problems involving Saffman-Taylor fingers or Taylor-Saffman bubbles in a Hele-Shaw channel are prototype examples of pattern selection. Exact solutions t…
Three-dimensional capillary waves due to a submerged source with small surface tension
Christopher J. Lustri, Ravindra Pethiyagoda, S. Jonathan Chapman
Steady and unsteady linearised flow past a submerged source are studied in the small-surface-tension limit, in the absence of gravitational effects. The free-surface capillary wave…