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

0573353 - MÚ 2024 RIV US eng J - Článek v odborném periodiku
Basarić, Danica - Tang, T.
On well-posedness of quantum fluid systems in the class of dissipative solutions.
SIAM Journal on Mathematical Analysis. Roč. 55, č. 3 (2023), s. 2434-2466. ISSN 0036-1410. E-ISSN 1095-7154
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: quantum fluid systems * dissipative solutions * semiflow selection
Obor OECD: Pure mathematics
Impakt faktor: 2, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1137/22M148985

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 afterward, 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.
Trvalý link: https://hdl.handle.net/11104/0343814