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math.AP2026
Global existence and optimal decay for a three-dimensional penalized Navier--Stokes system with biharmonic damping
Kabiru Michael Adeyemo, Mohamed Majdoub, Subha Pal
We investigate a three-dimensional parabolic system that arises as a hyperviscous and penalized approximation of the incompressible Navier--Stokes equations. The model combines thr…
math.AP2025
Principal eigenvalues and asymptotic behavior for the weighted -Laplacian with Robin boundary conditions on exterior domains
Subha Pal, Sarath Sasi
The spectral theory of the p-Laplacian is well developed for classical Dirichlet and Neumann boundary conditions, but the transitional Robin regime on exterior domains remains larg…