On the blowing up of solutions to quantum hydrodynamic models on bounded domains

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dc.creatorGamba, Irene M.
dc.creatorGualdani, Maria Pia
dc.creatorZhang, Ping
dc.date2007-04-24
dc.date.accessioned2026-07-07T07:57:56Z
dc.date.available2026-07-07T07:57:56Z
dc.descriptionThe blow-up in finite time for the solutions to the initial-boundary value problem associated to the multi-dimensional quantum hydrodynamic model in a bounded domain is proved. The model consists on conservation of mass equation and a momentum balance equation equivalent to a compressible Euler equations corrected by a dispersion term of the third order in the momentum balance. The proof is based on a-priori estimates for the energy functional for a new observable constructed with an auxiliary function, and it is shown that, under suitable boundary conditions and assumptions on the initial data, the solution blows up after a finite time.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0704.3110
dc.identifierhttp://arxiv.org/abs/0704.3110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127828
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleOn the blowing up of solutions to quantum hydrodynamic models on bounded domains
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