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math.AP2024
Stability and eigenvalue bounds for micropolar shear flows
Pablo Braz e Silva, Jackellyny Carvalho
We prove eigenvalue bounds for two-dimensional linearized disturbances of parallel flows of micropolar fluids, deriving the Orr-Sommerfeld equations and providing a sufficient cond…
math.AP2005
Error bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids
P. Braz e Silva, M. A. Rojas-Medar
We consider the spectral semi-Galerkin method applied to the nonhomogeneous Navier-Stokes equations. Under certain conditions it is known that the approximate solutions constructed…