Buddhika Priyasad

activity

20202026

most citedUniform stabilization of Navier-Stokes equations in critical

L^{q}

-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls

11 citations · 40 across the 13 of their papers we have counts for

collaborators

13 papers

math.AP2026

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…

math.AP2026

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…

math.AP2026

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…

math.AP2025

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…

math.AP2024★ 1 cited

On the singular set of $BV$ minimizers for non-autonomous functionals

Lukas Fußangel, Buddhika Priyasad, Paul Stephan

We investigate regularity properties of minimizers for non-autonomous convex variational integrands $F (x, D u)$ with linear growth, defined on bounded Lipschitz domains $Ω…

math.OC2023

Differentiability of the Value Function on $H^{1} (Ω)$ of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems under Control Constraints

Karl Kunisch, Buddhika Priyasad

An abstract framework guaranteeing the continuous differentiability of local value functions on $H^{1} (Ω)$ associated with optimal stabilization problems subject to abstract semiline…

math.AP2023

The Existence and Dimension of the Attractor for a 3D Flow of a Non-Newtonian Fluid subject to Dynamic Boundary Conditions

Dalibor Prazak, Buddhika Priyasad

We consider non-Newtonian incompressible 3D fluid of Ladyzhenskaya type, in the setting of the dynamic boundary condition. Assuming sufficient growth rate of the stress tensor with…

math.OC2022★ 11 cited

Uniform stabilization of Navier-Stokes equations in critical $L^{q}$ -based Sobolev and Besov spaces by finite dimensional interior localized feedback controls

Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani

We consider 2- or 3-dimensional incompressible Navier-Stokes equations defined on a bounded domain $Ω$ , with no-slip boundary conditions and subject to an external force, assumed t…

math.OC2022★ 9 cited

Uniform stabilization of Boussinesq systems in critical $L^{q}$ -based Sobolev and Besov spaces by finite dimensional interior localized feedback controls

Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani

We consider the d-dimensional Boussinesq system defined on a sufficiently smooth bounded domain, with homogeneous boundary conditions, and subject to external sources, assumed to c…

math.OC2022★ 6 cited

Finite dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory

Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani

We consider the d-dimensional Boussinesq system defined on a sufficiently smooth bounded domain, and subject to a pair ${v, u}$ of controls localized on $\{ \widet…

math.AP2022★ 6 cited

Maximal $L^{p}$ -regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems

Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani

In this paper we present an abstract maximal $L^{p}$ -regularity result up to $T = \infty$ , that is tuned to capture (linear) Partial Differential Equations of parabolic type, defined…

math.OC2021

Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on $L^{2} (Ω)$ under Control Constraints

Karl Kunisch, Buddhika Priyasad

An abstract framework guaranteeing the local continuous differentiability of the value function associated with optimal stabilization problems subject to abstract semilinear parabo…

math.AP2020★ 7 cited

Uniform stabilization of 3D Navier-Stokes equations in critical Besov spaces with finite dimensional, tangential-like boundary, localized feedback controllers

Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani

The present paper provides a solution in the affirmative to a recognized open problem in the theory of uniform stabilization of 3-dimensional Navier-Stokes equations in the vicinit…

On finite-dimensional attractor to nonsmooth reaction-diffusion equations

Continuous Data Assimilation for the 2D Navier-Stokes Equations from Partial Tangential Boundary Observations

Stabilization of nonautonomous Navier-Stokes flows under dynamic slip boundary conditions

Unique Continuation of Static Over-Determined Magnetohydrodynamic Equations

On the singular set of BV minimizers for non-autonomous functionals

Differentiability of the Value Function on H1(Ω) of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems under Control Constraints

The Existence and Dimension of the Attractor for a 3D Flow of a Non-Newtonian Fluid subject to Dynamic Boundary Conditions

Uniform stabilization of Navier-Stokes equations in critical Lq-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls

Uniform stabilization of Boussinesq systems in critical Lq-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls

Finite dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory

Maximal Lp-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems

Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on L2(Ω) under Control Constraints

Uniform stabilization of 3D Navier-Stokes equations in critical Besov spaces with finite dimensional, tangential-like boundary, localized feedback controllers

On the singular set of $BV$ minimizers for non-autonomous functionals

Differentiability of the Value Function on $H^{1} (Ω)$ of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems under Control Constraints

Uniform stabilization of Navier-Stokes equations in critical $L^{q}$ -based Sobolev and Besov spaces by finite dimensional interior localized feedback controls

Uniform stabilization of Boussinesq systems in critical $L^{q}$ -based Sobolev and Besov spaces by finite dimensional interior localized feedback controls

Maximal $L^{p}$ -regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems

Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on $L^{2} (Ω)$ under Control Constraints