On the well-posedness of the Galerkin semidiscretization of the periodic initial-value problem of the Serre equations

D. C. Antonopoulos, V. A. Dougalis, D. E. Mitsotakis

We consider the periodic initial-value problem for the Serre equations of water-wave theory and its semidiscrete approximation in the space of smooth periodic polynomial splines. W…