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On a generalized Boltzmann equation for non-classical particle transport

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  • We are interested in non-standard transport equations where the description of the scattering events involves an additional "memory variable''. We establish the well posedness and investigate the diffusion asymptotics of such models. While the questions we address are quite classical the analysis is original since the usual dissipative properties of collisional transport equations is broken by the introduction of the memory terms.
    Mathematics Subject Classification: Primary: 35Q99; Secondary: 35B25, 82C70.


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