Constantin, Adrian; Molinet, Luc Global weak solutions for a shallow water equation. (English) Zbl 1002.35101 Commun. Math. Phys. 211, No. 1, 45-61 (2000). Summary: We show the existence and uniqueness of global weak solutions for an equation describing the motion of waves at the free surface of shallow water under the influence of gravity. Cited in 1 ReviewCited in 327 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 35D05 Existence of generalized solutions of PDE (MSC2000) Keywords:existence and uniqueness of global weak solutions × Cite Format Result Cite Review PDF Full Text: DOI