Singular cotangent models in fluids with dissipation

Autor: Coquinot, Baptiste ^a, Mir, Pau ^b, Miranda, Eva ^{c, d, ⁎}

Publikováno v: In Physica D: Nonlinear Phenomena April 2023 446

Singular cotangent models in fluids with dissipation

Autor: Baptiste Coquinot, Pau Mir, Eva Miranda

Publikováno v: Physica D: Nonlinear Phenomena
Physica D: Nonlinear Phenomena, 2023, 446, pp.133655. ⟨10.1016/j.physd.2023.133655⟩

International audience; In this article we analyze several mathematical models with singularities where the classical cotangent model is replaced by a b-cotangent model. We provide physical interpretations of the singular symplectic geometry underlyi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3b0b52e0bde154fb8a3368536368b31
https://hdl.handle.net/2117/384652

Geometric quantization via cotangent models

Autor: Eva Miranda, Pau Mir

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Analysis and Mathematical Physics
Analysis and Mathematical Physics, Birkhäuser, 2021, 11 (3), ⟨10.1007/s13324-021-00559-4⟩
Analysis and Mathematical Physics, 2021, 11 (3), ⟨10.1007/s13324-021-00559-4⟩

In this article we give a universal model for geometric quantization associated to a real polarization given by an integrable system with non-degenerate singularities. This universal model goes one step further than the previous cotangent models by b

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::091a304ba676bec2775d8353e1530974
http://hdl.handle.net/2117/348245