Singularity formation for the Serre-Green-Naghdi equations and applications to abcd-Boussinesq systems

In this work we prove that the solution of Serre-Green-Naghdi equation cannot be globally defined when interface reaches impervious bottom tangentially. As a consequence, our result complements paper Camassa, R., Falqui, G., Ortenzi, Pedroni, M., & Thomson, C. Hydrodynamic models and confinement effects by horizontal boundaries. Journal Nonlinear Science, 29(4), 1445-1498, 2019. Furthermore, also to $$abcd-$$ Boussinesq system can change sign in finite time. Finally, provide with proof scenario time singularity for system. These latter mathematical results are related numerics Bona, Chen, Singular solutions water waves. J. Math. Study, 49(3), 205-220, 2016.