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arXiv · 2203.11833

On well-posedness of quantum fluid systems in the class of dissipative solutions

Danica Basarić·Tong Tang
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Abstract

The main objects of the present work are the quantum Navier-Stokes and quantum Euler systems; for the first one, in particular, we will consider constant viscosity coefficients. We deal with the concept of dissipative solutions, for which we will first prove the weak-strong uniqueness principle and afterwards, we will show the global existence for any finite energy initial data. Finally, we will prove that both systems admit a semiflow selection in the class of dissipative solutions.

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Danica Basarić, Tong Tang. 2022-03-22. On well-posedness of quantum fluid systems in the class of dissipative solutions. https://arxiv.org/abs/2203.11833

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