Small inertia regularization of an anisotropic aggregation model

@article{Evers2016SmallIR,
  title={Small inertia regularization of an anisotropic aggregation model},
  author={Joep H. M. Evers and R. Fetecau and W. Sun},
  journal={arXiv: Classical Analysis and ODEs},
  year={2016}
}
We consider an anisotropic first-order ODE aggregation model and its approximation by a second-order relaxation system. The relaxation model contains a small parameter $\varepsilon$, which can be interpreted as inertia or response time. We examine rigorously the limit $\varepsilon \to 0$ of solutions to the relaxation system. Of major interest is how discontinuous (in velocities) solutions to the first-order model are captured in the zero-inertia limit. We find that near such discontinuities… Expand
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