Lagrangian solutions to the transport–Stokes system
نویسندگان
چکیده
In this paper we consider the transport–Stokes system, which describes sedimentation of a particles in viscous fluid inertialess regime. We show existence Lagrangian solutions to Cauchy problem with L1 initial data. prove uniqueness as corollary stability estimate respect 1-Wasserstein distance for data Yudovich-type refinement L3, finite first moment. Moreover, describe evolution starting from axisymmetric Our approach is purely Lagrangian.
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ژورنال
عنوان ژورنال: Nonlinear Analysis-theory Methods & Applications
سال: 2023
ISSN: ['1873-5215', '0362-546X']
DOI: https://doi.org/10.1016/j.na.2023.113333