Continuous dependence on data under the Lipschitz metric for the rotation-Camassa-Holm equation

<abstract><p>A nonlinear equation, depicting motions of shallow water waves and including the famous Degasperis-Procesi model, is considered. The key element is that we derive $ L^2 $ conservation law of solutions for the nonlinear equation, which leads to the bound of the solution itself. Using several estimates derived from the model, we obtain that when its solution blows up in the Sobolev space if and only if the space derivative of the solution tends to minus infinite.</p></abstract>

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Continuous dependence on data under the Lipschitz metric for the rotation-Camassa-Holm equation

Cited by 2 publications

References 25 publications

Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation

Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation

Blow-up to a shallow water wave model including the Degasperis-Procesi equation

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