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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.

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)
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