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math.AP2026
Linear non-divergence parabolic equations in non-cylindrical space-time sets
Luan Hoang, Akif Ibragimov
We study linear parabolic equations of the second order in non-divergence form in a general set which is non-cylindrical with respect to the spatial and time variables. The restric…
math.AP2026
An intrinsic expansion approach to the Galerkin approximations for the Navier-Stokes equations (with an appendix by Chengzhang Fu)
Luan Hoang, Michael S. Jolly
We study the Galerkin approximation of the three-dimensional Navier-Stokes equations. In particular, we examine the convergence of these solutions in a sequence of finite dimension…