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

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

preprint2022arXivOpen access
Aaron BrunkMaria Lukacova-Medvidova
math.AP
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Open access2 authors1 topic
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Aaron BrunkMaria Lukacova-Medvidova

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