Jacob Gentner

Master of Philosophy student in Mathematics at Queensland University of Technology.

Engineering and Mathematics graduate from Queensland University of Technology.

My research focuses on the emergence and evolution of singularities in solutions of nonlinear partial differential equations.

Publications

Complex singularities for Burgers’ equation with piecewise-continuous initial conditions

Keywords: Burgers’ equation, complex-plane singularities, pole dynamics, matched asymptotic expansions, small-time limit, Cole-Hopf transform, travelling wave solution, similarity solution, N -wave solution

Interactive landscape plot for Burgers' equation with the step down IC at $t = 1$ and $\mu = 1$.