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We consider a nonlinear stochastic partial differential equation (SPDE) thattakes the form of the Camassa--Holm equation perturbed by a convective,position-dependent, noise term. We establish the first global-in-time existenceresult for dissipative weak martingale solutions to this SPDE, with generalfinite-energy initial data. The solution is obtained as the limit of classicalsolutions to parabolic SPDEs. The proof combines model-specific statisticalestimates with stochastic propagation of compactness techniques, along with thesystematic use of tightness and a.s. representations of random variables onspecific quasi-Polish spaces. The spatial dependence of the noise functionmakes more difficult the analysis of a priori estimates and variousrenormalisations, giving rise to nonlinear terms induced by the martingale partof the equation and the second-order Stratonovich--It\^{o} correction term.

Global existence of dissipative solutions to the Camassa--Holm equation with transport noise