Uniqueness of Weak Solutions to an Electrohydrodynamics Model
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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/864186 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |