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math.AP2026
Sheets of Spectral Data of Stokes Waves in Weakly Nonlinear Models
Benjamin Akers, Ryan P. Creedon
We study the spectral stability of small-amplitude Stokes waves in a family of weakly nonlinear, unidirectional models of the form . We introduce a perturb…
math.AP2025
Coherent Structures in Flame Fronts
Sultan Aitzhan, Benjamin F. Akers, David M. Ambrose
We study traveling waves in a coordinate-free model of flame fronts. The flame front is the interface between the burnt and unburnt phases of a gas undergoing combustion. The front…