113 citations · 784 across the 51 of their papers we have counts for
4 papers · 1 filter
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…
Viscous fingering patterns for Hele--Shaw flow in a doubly connected geometry driven by a pressure differential or rotation
Liam C. Morrow, Nicolas De Cock, Scott W. McCue
Traditional mathematical models of Hele--Shaw flow consider the injection (or withdrawal) of an air bubble into (or from) an infinite body of viscous fluid. The most commonly studi…
Mathematical models and time-frequency heat maps for surface gravity waves generated by thin ships
Nicholas R. Buttle, Ravindra Pethiyagoda, Timothy J. Moroney +4
Recent research suggests that studying the time-frequency response of ship wave signals has potential to shed light on a range of applications, such as inferring the dynamical and…
Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis
Scott W McCue, Bronwyn H Bradshaw-Hajek, Matthew J Simpson
We consider a family of exact solutions to a nonlinear reaction-diffusion model, constructed using nonclassical symmetry analysis. In a particular limit, the mathematical model app…