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

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.

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2023-12, Vol.74 (6), Article 233
Hauptverfasser: Kang, Kyungkeun, Kim, Hwa Kil, Kim, Jae-Myoung
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Sprache:eng
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Zusammenfassung: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.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-023-02130-6