Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View

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Global Solutions for the Two-Component Camassa–Holm System (2011, methodology): “The change of variables, which we now will detail, is related to the one used in [20] and, in particular, [12].”
Non-Uniform Dependence for the Periodic CH Equation (2010, methodology): “[15] Holden, H., Raynaud, X. (2008).”
Uniqueness of Conservative Solutions to the Camassa-Holm Equation via Characteristics (2014, background): “3) For any initial data u0 ∈ H1(IR), various papers have studied the global existence of solutions [2, 3, 10, 11, 12].”
Lipschitz metric for the Camassa-Holm equation on the line (2010, methodology): “From [13], we know that S̄t is continuous with respect to the norm of E.”
Dissipative solutions for the Camassa-Holm equation (2009, methodology): “In [22], we showed that the Camassa–Holm equation formally is equivalent to a system of ordinary differential equations corresponding to a transformation from Eulerian to Lagrangian variables.”
Global conservative solutions of the generalized hyperelastic-rod wave equation ✩ (2007, methodology): “That is why we recall the results obtained in [16] where we compare the topology induced by dD with more standard topologies.”