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math.AP2025
Analysis and Numerical Approximation to Interactive Dynamics of Navier Stokes-Plate Interaction PDE System
Pelin G. Geredeli, Quyuan Lin, Dylan Mcknight +1
We consider a Navier-Stokes fluid-plate interaction (FSI) system which describes the evolutions of the fluid contained within a 3D cavity, as it interacts with a deformable elastic…
math.AP2023
Another remark on the global regularity issue of the Hall-magnetohydrodynamics system
Mohammad Mahabubur Rahman, Kazuo Yamazaki
We discover cancellations upon -estimate of the Hall term for . As its consequence, first, we derive a regularity criterion for the 3-dimensio…