Preprints
Global controllability of the Cahn-Hilliard equation, (with Víctor Hernández-Santamaría and Luz de Teresa).
On the controllability of the Kuramoto-Sivashinsky equation on multi-dimensional cylindrical domains, (with Víctor Hernández-Santamaría).
Publications
A Hierarchical control problem for the Benney-Lin equation using Stackelberg-Nash strategy, Appl. Math. Optim., 93 (2026), pp.1-64, (with Manish Kumar)
Boundary null controllability of a class of 2-D degenerate parabolic PDEs, Discrete Contin. Dyn. Syst., 45 (2025), pp. 5107-5153, (with V. Hernández-Santamaría and L. de Teresa).
Event-triggered boundary control of the linearized FitzHugh-Nagumo equation, Automatica J. IFAC, 179 (2025) pp. 1-15, (with Víctor Hernández-Santamaría and Luz de Teresa).
Insensitizing control problem for the Kawahara equation, NoDEA Nonlinear Differential Equations Appl., 32 (2025) pp. 1-38, (with Manish Kumar).
Stabilization of Kawahara equation with saturated internal or boundary feedback controls, Math. Control Relat. Fields, 15 (2025), pp. 845-875, (with Hugo Parada).
Controllability and Stabilizability of the linearized compressible Navier-Stokes system with Maxwell's law, J. Evol. Equ., 25 (2025), pp. 1-60, (with Sakil Ahamed).
On the controllability of a system coupling Kuramoto-Sivashinsky-Korteweg-de Vries and transport equations, Math. Control Signals Systems, 36 (2024), pp. 875-926, (with Manish Kumar).
Coupled linear Schrödinger equations: Control and stabilization results, Zeitschrift Angew. Math. Phys. (75) 2024, pp. 1-31, (with Kuntal Bhandari, Roberto de A. Capistrano-Filho and Thiago Yukio Tanaka).
Local exponential stabilization of Rogers-McCulloch and FitzHugh-Nagumo equations by the method of backstepping, ESAIM Control Optim. Calc. Var, (30) 2024, pp. 1-45, (with Shirshendu Chowdhury and Rajib Dutta).
Local null-controllability of a two-parabolic nonlinear system with coupled boundary conditions by a single Neumann control, Evol. Equ. Control Theory 13 (2024), pp. 587-615, (with Kuntal Bhandari and Jiten Kumbhakar).
Local null controllability of the stabilized Kuramoto-Sivashinsky system using moment method, Adv. Differential Equations 29 (2024), pp. 223 - 290, (with M. Kumar).
Asymptotic behavior of the linearized compressible barotropic Navier-Stokes system with a time varying delay term in the boundary or internal feedback, Math. Meth. Appl. Sci. 46 (2023), pp. 17288–17312.
Local null-controllability of a system coupling Kuramoto-Sivashinsky-KdV and elliptic equations, J. Math. Anal. Appl 525 (2023), pp. 1-33, 127213, (with Kuntal Bhandari).
Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system, Evol. Equ. Control Theory, 12 (2023), pp. 907-943, (with Shirshendu Chowdhury and Rajib Dutta).
Boundary stabilizability of the linearized compressible Navier-Stokes equation in one dimension by backstepping approach, SIAM J. Control Optim 59 (2021), pp. 2147-2173, (with Shirshendu Chowdhury and Rajib Dutta).