Abstract We show global existence and uniqueness of solutions for the 3D nonhomogeneous asymmetric fluids equations through a Lagrangian approach. In particular, uniqueness of the solution is proved under quite soft assumptions about its regularity, which brings the knowledge about nonhomogeneous asymmetric fluids to the same level as for the variable density Navier-Stokes equations.

中文翻译：

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非均匀非对称流体的全局唯一可解性：拉格朗日方法

摘要 我们通过拉格朗日方法展示了 3D 非齐次非对称流体方程解的全局存在性和唯一性。特别是，解的唯一性是在关于其规律性的相当软的假设下证明的，这使关于非均匀非对称流体的知识与变密度 Navier-Stokes 方程的知识水平相同。