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- Choi, Kyudong
- Fluids Analysis Lab.
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Axi-symmetric solutions for active vector models generalizing 3D Euler and electron–MHD equations
- Author(s)
- Chae, Dongho, Choi, Kyudong, Jeong, In-Jee
- Issued Date
- 2023-12
- Citation
- NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v.74, pp.103953
- Abstract
-
We study systems interpolating between the 3D incompressible Euler and electron–MHD equations, given by ∂tB+V⋅∇B=B⋅∇V,V=−∇×(−Δ)−aB,∇⋅B=0,where B is a time-dependent vector field in R3. Under the assumption that the initial data is axi-symmetric without swirl, we prove local well-posedness of Lipschitz continuous solutions and existence of traveling waves in the range 1/2
- Publisher
- Elsevier BV
- ISSN
- 1468-1218
- Keyword (Author)
- Commutator estimate, Euler equations, Hall equations, Traveling wave, Well-posedness
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