Exact solutions of the equations of relativistic hydrodynamics representing potential flows.
Borshch, Maxim S., Zhdanov, Valery I. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Borshch, Maxim S., Zhdanov, Valery I. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Poisson, Eric (2004)
Living Reviews in Relativity [electronic only]
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Duviryak, Askold (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Duviryak, Askold (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Kalnins, Ernest G., Kress, Jonathan M., Jr., Willard Miller, Post, Sarah (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Adrian Constantin (2001)
Journées équations aux dérivées partielles
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We describe some recent results on a specific nonlinear hydrodynamical problem where the geometric approach gives insight into a variety of aspects.
Quesne, Christiane (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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François Golse (2003)
Journées équations aux dérivées partielles
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This short course explains how the usual mean-field evolution PDEs in Statistical Physics - such as the Vlasov-Poisson, Schrödinger-Poisson or time-dependent Hartree-Fock equations - are rigorously derived from first principles, i.e. from the fundamental microscopic models that govern the evolution of large, interacting particle systems.
Nishiyama, Seiya, Da Providência, João, Providência, Constança, Cordeiro, Flávio, Komatsu, Takao (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Izquierdo, Alberto Alonso, León, Miguel Ángel González, De La Torre Mayado, Marina (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Naijing Kang, Z.L. Miškovic, Ying-Ying Zhang, Yuan-Hong Song, You-Nian Wang (2014)
Nanoscale Systems: Mathematical Modeling, Theory and Applications
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We study the dynamic response of a metal slab containing electron gas described by the hydrodynamic model with dispersion. The resulting wave equation for the perturbed electron density is solved by means of the Green’s function that satisfies Neumann boundary conditions at the endpoints of the slab. This solution is coupled with the electrostatic potential, which is expressed in terms of the Green’s function for the Poisson equation for a layered structure consisting of three dielectric...