My primary area of research is concerned with control and optimization of models described by evolution equations of nonlinear partial differential equations (PDEs) which arise within the context of significant physical phenomenon in science and engineering. Of particular interest are models of hyperbolic type where control inputs and observations are located either on the boundary or a spatial domain.

• 4. Bociu, Lorena; Nguyen,Khai T. ; MR;  Two-point boundary value problems for quasi-monotone dynamical systems https://arxiv.org/abs/2508.01305

• 3. Lasciecka, Irena; Rodrigues, Jose H.; MR; Attractors for  Non-Dissipative  Hyperbolic like Dynamics with Nonlinear Damping Arising in Modeling of Suspension Bridges Under Unstable Flow of Gas. To appear in the Journal of Differential Equations.

• 2. Rodrigues, Jose H.; MR;  Existence of global attractors for a semilinear wave equation with nonlinear boundary dissipation and nonlinear interior and boundary sources with critical exponents. https://link.springer.com/article/10.1007/s00245-022-09904-w 

Motivated by PhD coursework, during the third year of PhD I have worked with the the group of Ergodic theory and dynamical systems at The University of Memphis and worked on the behavior of ergodic averages along a fast growing sequence.

• 1. Mondal, Sovanlal; Máté, Wierdl ; MR;  Sublacunary sequences that are strong sweeping out. https://nyjm.albany.edu/j/2023/29-42.html