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

Author:

Kang Kyungkeun,Kim Hwa Kil,Kim Jae-Myoung

Funder

National Research Foundation of Korea

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Reference18 articles.

1. Acerbi, E., Fusco, N.: An approximation lemma for $$W^{1,p}$$ functions. In: Material Instabilities in Continuum Mechanics, Oxford Sci. Publ., pages 1.5. Oxford Univ. Press, New York (1988)

2. Ambrosio, L., Gigli, N., Savare, G.: Gradient Flows in Metric Spaces and the Wasserstein Spaces of Probability Measures. Lectures in Mathematics. ETH Zurich, Birkhauser (2005)

3. Bae, H.-O., Wolf, J.: Existence of strong solutions to the equations of unsteady motion of shear thickening incompressible fluids. Nonlinear Anal. Real World Appl. 23, 160–182 (2015)

4. Baranger, C., Desvillettes, L.: Coupling Euler and Vlasov equation in the context of sprays: the local-in-time, classical solutions. J. Hyperbolic Differ. Equ. 3, 1–26 (2006)

5. Berselli, L.C., Diening, L., Růžìčka, M.: Existence of strong solutions for incompressible fluids with shear dependent viscosities. J. Math. Fluid Mech. 12, 101–132 (2010)

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