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The aim of this paper is to analyze a viscoelastic phase separation model. Wederive a suitable notion of the relative energy taking into account thenon-convex nature of the energy law for the viscoelastic phase separation. Thisallows us to prove the weak-strong uniqueness principle. We will provide theestimates for the full model in two space dimensions. For a reduced model wepresent the estimates in three space dimensions and derive conditional relativeenergy estimates.

Relative energy and weak-strong uniqueness of the two-phase viscoelastic phase separation model