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Globalwell-posedness for a viscosity problem of the compressible Heisenberg chain equations

Globalwell-posedness for a viscosity problem of the compressible Heisenberg chain equations

In this paper, we are concerned with the existence and uniqueness of global smooth solutions to a viscosity problem for the compressible Heisenberg chain equations in one dimension. Furthermore, we prove the global existence of weak solutions when the parameter A tends to zero by compactness method.