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Existence theorems for two-fluid magnetohydrodynamics Núñez Jiménez, Manuel Faraday's law Gravitational force Magnetic reconnection Navier Stokes equations Hall effect Plasma properties and parameters Magnetohydrodynamics Electrostatics Viscosity Magnetic fields Producción Científica The description of a plasma as composed by two types of fluids, formed by ions and electrons, is more complete than the classical one-fluid magnetohydrodynamics MHD model and it has proved necessary to explain the phenomena of fast magnetic reconnection. We prove a finite-time theorem of existence and uniqueness of solutions for this system for either Dirichlet or periodic boundary conditions in dimension three. It turns out that the regularity estimates for the magnetic field are finer than the MHD ones. 2019-11-27T12:10:36Z 2019-11-27T12:10:36Z 2005 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Journal of Mathematical Physics 46, 083101 2005 0022-2488 http://uvadoc.uva.es/handle/10324/39593 10.1063/1.1985009 083101-1 8 083101-12 Journal of Mathematical Physics 46 1089-7658 eng https://aip.scitation.org/doi/10.1063/1.1985009 Attribution-NonCommercial-NoDerivatives 4.0 Internacional info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf American Institute of Physics https://uvadoc.uva.es/bitstream/10324/39593/4/Two-FluidMHD.pdf.jpg Hispana TEXT http://creativecommons.org/licenses/by-nc-nd/4.0/ UVaDOC. Repositorio Documental de la Universidad de Valladolid http://uvadoc.uva.es/handle/10324/39593