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Uniqueness in a Navier-Stokes-nonlinear-Schrodinger model of superfluidity*

机译:Uniqueness in a Navier-Stokes-nonlinear-Schrodinger model of superfluidity*

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摘要

In Jayanti and Trivisa (2022 J. Math. Fluid Mech. 24 46), the authors proved the existence of local-in-time weak solutions to a model of superfluidity. The system of governing equations was derived in Pitaevskii (1959 Sov. Phys. JETP 8 282-287) and couples the nonlinear Schrodinger equation and the Navier-Stokes equations. In this article, we prove a weak-strong type uniqueness theorem for these weak solutions. Only some of their regularity properties are used, allowing room for improved existence theorems in the future, with compatible uniqueness results.

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