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   Articles with "lipschitz metric" as a keyword



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Lipschitz metric for the periodic second-order Camassa–Holm equation

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recommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.02.018

Abstract: Abstract In this study, we consider the Cauchy problem for the second-order Camassa–Holm equation with periodic initial data u 0 . Using the vanishing viscosity method, the local weak solution of the equation is obtained… read more here.

Keywords: camassa holm; second order; lipschitz metric; holm equation ... See more keywords
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A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION

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recommendations! Published in 2020 at "Forum of Mathematics, Sigma"

DOI: 10.1017/fms.2020.22

Abstract: We analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH equation develop singularities with steep gradients while preserving continuity of the… read more here.

Keywords: holm equation; equation; lipschitz metric; camassa holm ... See more keywords