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) |
