On an evolution system describing self-gravitating particles in microcanonical setting
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🧮 math.AP
math-phmath.MP
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casedescribingdiffusionparticlessystemapplyattractingcovers
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The global in time existence of solutions of a system describing the interaction of gravitationally attracting particles with a general diffusion term and fixed energy is proved. The presented theory covers the case of the model with diffusion that obeys Fermi-Dirac statistics. Some of the results apply to the dissipative polytropic case as well.
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