6 papers · 1 filter
Interior and H feedback stabilization for sabra Shell model of turbulence
Tania Biswas, Sheetal Dharmatti
Shell models of turbulence are representation of turbulence equations in Fourier domain. Various shell models along with numerical simulations have been studied earlier. One of the…
Second Order Optimality Conditions for Optimal Control Problems Governed by 2D Nonlocal Cahn Hilliard Navier Stokes Equations
Tania Biswas, Sheetal Dharmatti, Manil T Mohan
In this paper, we formulate a distributed optimal control problem related to the evolution of two isothermal, incompressible, immiscible fluids in a two dimensional bounded domain.…
Pontryagin's maximum principle and second order optimality condition for optimal control problems for the nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions
Tania Biswas, Sheetal Dharmatti, Manil T Mohan
In this work, we address some optimal control problems related to the evolution of two isothermal, incompressible, immisible fluids in a two dimensional bounded domain. A distribut…
Control Problems and Invariant Subspaces for the Sabra Shell Model of Turbulence
Tania Biswas, Sheetal Dharmatti
Shell models of turbulence are representation of turbulence equations in Fourier domain. Various shell models and their existence theory along with numerical simulations have been…
Internal Stabilization of a Class of Parabolic Integro-Differential Equations: Application to Viscoelastic Fluids
Sheetal Dharmatti, Utpal Manna, Debopriya Mukherjee
In this paper, we prove the stabilizability of abstract Parabolic Integro-Differential Equations (PIDE) in a Hilbert space with decay rate for certain by means o…
Infinite dimensional differential games with hybrid controls
A J Shaiju, Sheetal Dharmatti
A two-person zero-sum infinite dimensional differential game of infinite duration with discounted payoff involving hybrid controls is studied. The minimizing player is allowed to t…