An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems

Author:

Antonelli Paolo,Marcati Pierangelo,Zheng HaoORCID

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference85 articles.

1. Antonelli, P., Hientzsch, L.E., Marcati, P., Zheng, H.: On some results for quantum hydrodynamical models. Mathematical Analysis in Fluid and Gas Dynamics, Proceeding RIMS Kôkyûroku 2070, 2018, 107–129. http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2070.html

2. Antonelli, P., Marcati, P.: On the finite energy weak solutions to a system in Quantum Fluid Dynamics. Commun. Math. Phys. 287(2), 657–686, 2009

3. Antonelli, P., Marcati, P.: The Quantum Hydrodynamics system in two space dimensions. Arch. Rat. Mech. Anal. 203, 499–527, 2012

4. Antonelli, P., Marcati, P.: Quantum hydrodynamics with nonlinear interactions. Disc. Cont. Dyn. Sys. Ser. S 9(1), 1–13, 2016

5. Antonelli, P., Marcati, P.: Some results on systems for quantum fluids, Recent Advances in Partial Differential Equations and Application. Cont. Math. 666, 41–54, 2016

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