Uniqueness of Weak Solutions to an Electrohydrodynamics Model

Yong Zhou and Jishan Fan

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: This paper studies uniqueness of weak solutions to an electrohydrodynamics model in ℝd (d = 2, 3). When d = 2, we prove a uniqueness without any condition on the velocity. For d = 3, we prove a weak‐strong uniqueness result with a condition on the vorticity in the homogeneous Besov space.

Date: 2012
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https://doi.org/10.1155/2012/864186

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:864186

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