In this study, we showed the existence of global, finite energy, weak solutions to a class of compressible Euler equations, describing the dynamics of a quantum fluid interacting with an external magnetic field. To do so, we exploited suitable a priori estimates for weak solutions of the underlying wave-function dynamics, governed by a magnetic semilinear Schrödinger equation.
Global, finite energy, weak solutions to a magnetic quantum fluid system / Scandone, R.. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 20:2(2025), pp. 345-355. [10.3934/nhm.2025016]
Global, finite energy, weak solutions to a magnetic quantum fluid system
Scandone R.
2025
Abstract
In this study, we showed the existence of global, finite energy, weak solutions to a class of compressible Euler equations, describing the dynamics of a quantum fluid interacting with an external magnetic field. To do so, we exploited suitable a priori estimates for weak solutions of the underlying wave-function dynamics, governed by a magnetic semilinear Schrödinger equation.File in questo prodotto:
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