Papers › First order non-instantaneous corrections in collisional kinetic alignment models
First order non-instantaneous corrections in collisional kinetic alignment models
Laura Kanzler, Carmela Moschella, Christian Schmeiser
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In this work the standard kinetic theory assumption of instantaneous collisions is lifted. As a continuation of of a previous paper by Kanzler, Schmeiser, and Tora [KRM, 2024], a model for higher order non-instantaneous alignment collisions is presented and studied in the asymptotic regime of short collision duration. A first order accurate approximative model is derived as a correction to the instantaneous limit. Rigorous results on its well-posedness and on the instantaneous limit are proven. The approximative model is a system of two equations. An equally accurate scalar approximation is suggested.
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