• Corpus ID: 238215169

Uniqueness in a Navier-Stokes-nonlinear-Schr\"odinger model of superfluidity

@inproceedings{Jayanti2021UniquenessIA,
  title={Uniqueness in a Navier-Stokes-nonlinear-Schr\"odinger model of superfluidity},
  author={Pranava Chaitanya Jayanti and Konstantina Trivisa},
  year={2021}
}
In [JT21b], the authors proved the existence of local-in-time weak solutions to a model of superfluidity. The system of governing equations was derived in [Pit59] and couples the nonlinear Schrödinger equation (NLS) and the Navier-Stokes equations (NSE). In this article, we prove two uniqueness theorems for these weak solutions. One of them is the classical weak-strong uniqueness based on a relative entropy method. The other result trades some regularity of the stronger solution for smallness… 
1 Citations
Local weak solutions to a Navier-Stokes-nonlinear-Schr\"odinger model of superfluidity
In [Pit59], a micro-scale model of superfluidity was derived from first principles, to describe the interacting dynamics between the superfluid and normal fluid phases of Helium-4. The model couples

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