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math.AP2024★ 3 cited
Jumps and cusps: a new revival effect in local dispersive PDEs
Lyonell Boulton, George Farmakis, Beatrice Pelloni +1
We study the presence of a non-trivial revival effect in the solution of linear dispersive boundary value problems for two benchmark models which arise in applications: the Airy eq…
math.AP2024
Revivals, or the Talbot effect, for the Airy equation
Beatrice Pelloni, David A. Smith
We study Dirichlet-type problems for the simplest third-order linear dispersive PDE, often referred to as the Airy equation. Such problems have not been extensively studied, perhap…