Extending work of Kapouleas and Yang, we construct sequences of closed minimal surfaces embedded in the round unit 3-sphere and converging to a Clifford torus …
The FitzHugh-Nagumo equations are known to admit fast traveling pulses that have monotone tails and arise as the concatenation of Nagumo fronts and backs in …
We develop a high-order nonlinear energy method to study the stability of steady states of the Stefan problem with surface tension. There are two prominent …
This thesis considers two-dimensional stratified water waves propagating under the force of gravity over an impermeable flat bed and with a free surface. In the …