5 papers
On finite-dimensional attractor to nonsmooth reaction-diffusion equations
Dalibor Pražák, Buddhika Priyasad, Michael Zelina
We consider a reaction diffusion equation, where the lower-order nonlinearity allows for a non-smooth part, described by a maximal monotone relation. We show that the global attrac…
Continuous Data Assimilation for the 2D Navier-Stokes Equations from Partial Tangential Boundary Observations
Gianmarco Del Sarto, Buddhika Priyasad
We study continuous data assimilation for the two-dimensional Navier--Stokes equations on a smooth, bounded, connected domain with Navier-slip boundary conditions, using no interio…
Stabilization of nonautonomous Navier-Stokes flows under dynamic slip boundary conditions
Buddhika Priyasad, Sérgio S. Rodrigues
Exponential stabilizability of the incompressible Navier-Stokes equations under dynamic slip boundary conditions toward arbitrary time-dependent trajectories is proven. The feedbac…
On the singular set of minimizers for non-autonomous functionals
Lukas FuÃangel, Buddhika Priyasad, Paul Stephan
We investigate regularity properties of minimizers for non-autonomous convex variational integrands with linear growth, defined on bounded Lipschitz domains $Î…
Unique Continuation of Static Over-Determined Magnetohydrodynamic Equations
Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani
This paper establishes the Unique Continuation Property (UCP) for a suitably overdetermined Magnetohydrodynamics (MHD) eigenvalue problem, which is equivalent to the Kalman, finite…