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arXiv · 1901.02162

Well-posedness of strong solutions for the Vlasov equation coupled to non-Newtonian fluids in dimension three

Kyungkeun Kang·Hwa Kil Kim·Jae-Myoung Kim
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Abstract

We consider the Cauchy problem for coupled system of Vlasov and non-Newtonian fluid equations. We establish local well--posedness of the strong solutions, provided that the initial data are regular enough. Global existence of unique strong solutions for any given time interval is shown as well if the initial data are sufficiently small.

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Kyungkeun Kang, Hwa Kil Kim, Jae-Myoung Kim. 2019-01-08. Well-posedness of strong solutions for the Vlasov equation coupled to non-Newtonian fluids in dimension three. https://arxiv.org/abs/1901.02162

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