Global weak solutions for a shallow water equation. (English) Zbl 1002.35101

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.


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)
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