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A note on uniqueness and compact support of solutions in a recent model for tsunami background flows

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  • We present an elementary proof of uniqueness for solutions of an initial value problem which is not Lipschitz continuous, generalizing a technique employed in [20]. This approach can be applied for a wide class of vorticity functions in the context of [6], where, departing from a recent model for the evolution of tsunami waves developed in [10], the possibility of modelling background ows with isolated regions of vorticity is rigorously established.
    Mathematics Subject Classification: Primary: 34A34, 34A12; Secondary: 35Q31, 35J61.


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