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math.AP2026
Steady Motion of a Self-Propelled Body in a Viscous Fluid: Dirichlet Boundary Conditions with Nonzero Flux
Šárka Nečasová, Arnab Roy, Ana Leonor Silvestre
We study the steady self-propelled motion of a rigid body immersed in an incompressible viscous fluid occupying an exterior domain in . In a body-fixed reference fram…
math.AP2026
On the Vanishing Viscosity and Magnetic Diffusion Limit for Incompressible Magnetohydrodynamics
Sarka Necasova, Tong Tang, Yuanjing Tang
The article focuses on the inviscid and non-resistive limit of the incompressible magnetohydrodynamics (MHD) equations in a bounded domain. We derive sufficient conditions for the…