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- W3090393106 abstract "The present paper deals with the nonhomogeneous incompressible asymmetric fluids equations in dimension $d= 2,3$. The aim is to prove the unique global solvability of the system with only bounded nonnegative initial density and $H^{1}$ initial velocities. We first construct the global existence of the solution with large data in 2-D. Next, we establish the existence of local in time solution for arbitrary large data and global in time for some smallness conditions in 3-D. Finally, the uniqueness of the solution is proved under quite soft assumptions about its regularity through a Lagrangian approach. In particular, the initial vacuum is allowed." @default.
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- W3090393106 date "2020-10-02" @default.
- W3090393106 modified "2023-09-27" @default.
- W3090393106 title "The unique global solvability of the nonhomogeneous incompressible asymmetric fluids with vacuum" @default.
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- W3090393106 doi "https://doi.org/10.48550/arxiv.2010.00773" @default.
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