Global unique solution for 3D incompressible inhomogeneous magneto-micropolar equations with discontinuous density
This article concerns the Cauchy problem of the incompressible inhomogeneous magneto-micropolar equations in $\mathbb{R}^3$. We first prove the global solvability of the model when the initial density is bounded from above and below with positive constants and the initial velocity, angular velo...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2025-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2025/58/abstr.html |
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| Summary: | This article concerns the Cauchy problem of the incompressible
inhomogeneous magneto-micropolar equations in $\mathbb{R}^3$.
We first prove the global solvability of the model when the initial
density is bounded from above and below with positive constants and
the initial velocity, angular velocity, and magnetic field in a critical
Besov spaces are sufficiently small.
Then we obtain the Lipschitz regularity for the fluid velocity,
magnetic field, and angular velocity by exploiting some extra
time-weighted energy estimates. We show the uniqueness of the
constructed global solutions by the duality approach. |
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| ISSN: | 1072-6691 |