Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$-Reference-Cited by-同舟云学术

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Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$

Published:2023-03-02 Issue:2 Volume:25 Page:
ISSN:1422-6928
Container-title:Journal of Mathematical Fluid Mechanics
language:en
Short-container-title:J. Math. Fluid Mech.

Author:

Wang Jinhuan,Wang Weike,Wang Yucheng

Funder

National Natural Science Foundation of China

LiaoNing Revitalization Talents Program

Key Project of Education Department of Liaoning Province

Shanghai Science and Technology Innovation Action Plan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Condensed Matter Physics,Mathematical Physics

Link

https://link.springer.com/content/pdf/10.1007/s00021-023-00776-w.pdf

Reference24 articles.

1. Bazant, M.Z., Thornton, K., Ajdari, A.: Diffuse-charge dynamics in electrochemical systems. Phys. Rev. E 70, 021506 (2004)

2. Biler, P., Dolbeault, J.: Long time behavior of solutions to Nernst-Planck and Debye-Hückel drift-diffusion systems. Ann. Henri Poincare 1, 461–472 (2000)

3. Bothe, D., Fischer, A., Saal, J.: Global well-posedness and stability of electrokinetic flows. SIAM J. Math. Anal. 46, 1263–1316 (2014)

4. Che, J.H., Chen, L., Duan, B., Luo, Z.: On the existence of local strong solutions to chemotaxis-shallow water system with large data and vacuum. J. Differ. Equ. 261, 6758–6789 (2016)

5. Chen, L., Liu, J.-G., Wang, J.: Multidimensional degenerate Keller-Segel system with critical diffusion exponent $$\frac{2n}{(n+2)}$$. SIAM J. Math. Anal. 44, 1077–1102 (2012)

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