Article Contents
Article Contents

On the formation of singularities for surface water waves

• A Burgers equation with fractional dispersion is proposed to model waves on the moving surface of a two-dimensional, infinitely deep water under the influence of gravity. For a certain class of initial data, the solution is shown to blow up in finite time.
Mathematics Subject Classification: 35A20, 76B15, 35Q35.

 Citation:

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