4 papers
Approximate Controllability of Fractional Hemivariational Inequalities in Banach Spaces
Bholanath Kumbhakar, Deeksha, Dwijendra Narain Pandey
In this paper, we derive the approximate controllability of fractional evolution hemivariational inequalities in reflexive Banach spaces involving Caputo fractional derivatives. We…
A Lagrange Multiplier-based method for Stokes-linearized poro-hyperelastic interface problems
Aparna Bansal, Nicolás A. Barnafi, Dwijendra Narain Pandey +1
We propose a model for the coupling between free fluid and a linearized poro-hyperelastic body. In this model, the Brinkman equation is employed for fluid flow in the porous medium…
Nitsche method for Navier-Stokes equations with slip boundary conditions: Convergence analysis and VMS-LES stabilization
Aparna Bansal, Nicolás Alejandro Barnafi, Dwijendra Narain Pandey
In this paper, we analyze the Nitsche's method for the stationary Navier-Stokes equations on Lipschitz domains under minimal regularity assumptions. Our analysis provides a robust…
Optimal Control and Approximate controllability of fractional semilinear differential inclusion involving - Hilfer fractional derivatives
Bholanath Kumbhakar, Dwijendra Narain Pandey
The current paper initially studies the optimal control of linear -Hilfer fractional derivatives with state-dependent control constraints and optimal control for a particular ty…