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ABSTRACT
In this paper, we mainly study the Cauchy problem of a generalized Camassa–Holm equation. We prove the existence of global weak solutions for this generalized Camassa–Holm equation by the viscous approximation method.
Acknowledgments
This work was partially supported by NNSFC (No. 11671407 and No. 11801076), FDCT (No. 0091/2018/A3), Guangdong Special Support Program (No. 8-2015) and the key project of NSF of Guangdong Province (No. 2016A030311004).
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
This work was partially supported by NNSFC [grant number 11671407], [grant number 11801076], FDCT [grant number 0091/2018/A3], Guangdong Special Support Program [grant number 8-2015] and the key project of NSF of Guangdong Province [grant number 2016A030311004].