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Hamiltonian PDEs in fluid dynamics: local and long time existence results

Candidate: 
Federico Murgante
Supervisor: 
Massimiliano Berti
Alberto Maspero
Academic Year: 
2022/2023
Research Group: 
Mathematical Analysis, Modelling, and Applications
SISSA
Publication Related to the Thesis: 

Local Well Posedness of the Euler-Korteweg Equations on T-d, 2021, JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,33 (3), 1475-1513, https://dx.doi.org/10.1007/s10884-020-09927-3 Iris link: https://iris.sissa.it/handle/20.500.11767/128710 Long-time stability of the quantum hydrodynamic system on irrational tori, 2022, MATHEMATICS IN ENGINEERING, 4 (3), 1-24,  https://dx.doi.org/10.3934/mine.2022023 

PhD Thesis Subject: 
Hamiltonian PDEs in fluid dynamics

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