We establish the long time existence of solutions for the "Boussinesq-Full Dispersion" systems modeling the propagation of internal waves in a two-layer system. For the two-dimensional Hamiltonian case we prove the global existence of small solutions of the corresponding systems.
Long time existence for semilinear wave equations on asymptotically flat space-times
Long time existence for a class of weakly transverse Boussinesq systems
Improved long time existence for the Willmore flow of surfaces of revolution with Dirichlet data
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