“My vision for SRM AP is an inter-disciplinary environment that stimulates active, engaged learning and cutting edge research. We challenge our students to think critically and creatively, communicate clearly, and develop into thoughtful global citizens and leaders. Learning through discovery and interaction is more powerful and enduring than listening passively to lectures. We seek to equip our students with the cognitive tools to adapt to and seize opportunities offered by a rapidly changing world. Most of all, we stand apart with a network of associations with esteemed institutions around the world, so that students and make their mark in a connected world.”
2006 - 2007, Postdoctoral Researcher | Swiss Federal Institute of Technology (EPFL)
2001 - 2006, Research and Teaching Assistant | Swiss Federal Institute of Technology
My research interests lie within the fields of qualitative theory of differential equations and inclusions, mathematical control theory, calculus of variations and optimization. In particular, my current research is oriented towards theoretical analysis, control and optimization of nonlinear equations (with possibly multivalued right-hand sides) and systems of subdifferential type with applications to systems with hysteresis and sweeping processes.
List of Publications
Existence and relaxation for subdifferential inclusions with unbounded perturbation. Math. Program. 166, No. 1--2, 65–-85 (2017).
(with Aiki T.) Existence and uniqueness for a concrete carbonation process with hysteresis. J. Math. Anal. Appl. 449, No. 2, 1502--1519 (2017).
(with Krejci P.) Coupled ODEs control system with unbounded hysteresis region. SIAM J. Control Optim. 54, No. 4, 1934–-1949 (2016).
Control system with hysteresis and delay. Syst. Control Lett. 91, 43-47 (2016).
A relaxation result for unbounded control system with hysteresis. J. Math. Anal. Appl. 435, No. 2, 1036-1053 (2016).
(with Krejci P. and Tolstonogov A.A.) A control problem in phase transition modeling. NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 4, 513-542 (2015).
(with Tolstonogov A.A.) Convex-valued selectors of a Nemytskii operator with nonconvex values and their applications. J. Nonlinear Convex Anal. 16, No. 6, 1131-1145 (2015).
Variational stability of some optimal control problems describing hysteresis effects. SIAM J. Control Optim. 52, No. 4, 2348-2370 (2014).