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Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation
G. M. Coclite, H. Holden, K. H. Karlsen
Source abstract
We consider a generalized hyperelastic-rod wave equation (or generalized Camassa--Holm equation) describing nonlinear dispersive waves in compressible hyperelastic rods. We establish existence of a strongly continuous semigroup of global weak solutions for any initial data from . We also present a "weak equals strong" uniqueness result.
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