3 papers
math.AP2026
Curve Lengthening Bifurcations in Modally Filtered Nonlinear Schrödinger Systems
Keith Promislow, Abba Ramadan
Extensions of the parametric nonlinear Schrödinger equations (PNLS) for phase-sensitive optical resonance are developed that preserve the curve lengthening bifurcation seen in the…
math.AP2025
Gradient Flows of Interfacial Energies: Curvature Agents and Incompressibility
Keith Promislow, Truong Vu, Brian Wetton
We present a framework for the gradient flow of sharp-interface surface energies that couple to embedded curvature active agents. We use a penalty method to develop families of loc…
math.AP2025
Quasisteady patterns in interfaces: Folding and Faceting
Vinh Nguyen, Keith Promislow, Brian Wetton
We present a systematic derivation of the gradient flows associated to a broad class of interfacial energies, emphasizing the relation between intrinsic and extrinsic variations of…