30 citations · 97 across the 20 of their papers we have counts for
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Burgers' equation in the complex plane
Daniel J. VandenHeuvel, Christopher J. Lustri, John R. King +2
Burgers' equation is a well-studied model in applied mathematics with connections to the Navier-Stokes equations in one spatial direction and traffic flow, for example. Following o…
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…
Exponential asymptotics for elastic and elastic-gravity waves on flow past submerged obstacles
Christopher J. Lustri
Linearized flow past a submerged obstacle with an elastic sheet resting on the flow surface are studied in the limit that the bending length is small compared to the obstacle depth…
Nanoptera In Higher-Order Nonlinear Schrödinger Equations: Effects Of Discretization
Aaron J. Moston-Duggan, Mason A. Porter, Christopher J. Lustri
We consider generalizations of nonlinear Schrödinger equations, which we call "Karpman equations", that include additional linear higher-order derivatives. Singularly-perturbed Kar…