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On the existence of solutions to a general mean field equation of nonlinear diffusion with the Newtonian potential pressure

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas(2023)

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Abstract
We prove an existence and uniqueness of weak solutions of a general mean field equation of nonlinear diffusion with the Newtonian potential pressure. Moreover, we study the finite speed of propagation of solutions.
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Key words
Nonlinear diffusion,Hydrodynamic limit,Superconductivity,Finite speed of propagation,26D10,46E35,35A23
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