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nlin.PS2026
Reduced wave number dynamics in the real and complex Ginzburg-Landau equations
Yijun Lin, Adrian van Kan, Edgar Knobloch
We study large-scale dynamics in the Ginzburg-Landau equation (GLE) using a reduced description derived from a WKB expansion. Rigorous mathematical results establishing that this r…
physics.flu-dyn2026
Accurate simulation of pulled and pushed fronts in the nonautonomous Fisher-Kolomogorov-Piskunov-Petrovsky equation
Troy Tsubota, Smridhi Mahajan, Adrian van Kan +1
We introduce a novel numerical method for direct simulation of front propagation in the Fisher-KPP equation with a time-dependent parameter on an infinite domain. The method comput…