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Visiting Scientist (November 22nd, 2021 – January 19th, 2022)
Funded by AvH -Alexander von Humboldt Stiftung/Foundation
University of Santiago of Chile
I am currently an Assistant Professor at the Mathematics and Computer Science Department, University of Santiago, Chile. My research interest is Control Theory and Inverse Problems for Partial Differential Equations (PDE) and Fractional Differential
Equations (FDE). Specifically, my fields of research are: inverse problems for water waves, nonlocal equations, and fluid mechanics models; optimal control problems and turnpike phenomenon for PDEs and FDEs; stabilization of PDEs and FDEs;
controllability of PDEs and FDEs.
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Nonlinear hyperbolic systems: Modeling, controllabiliy and applications The control theory of hyperbolic systems is an important topic in continuum and fluid mechanics. Networks of nonlinear hyperbolic systems arise in real world applications, e.g. planar or out-of-plane networks of vibrating strings, shearable beams, gas networks and shallow […]
Kinetic theory of Bose Einstein Condensates If a dilute gas of bosons, about one-hundred-thousandth the density of normal air, is cooled to a temperature very close to absolute zero (0 K or -273.15C), the gas will be changed into a new state of matter, called Bose-Einstein […]
Transition Layers in Elliptic Equations By Maicon Sônego Stable transition layers in an unbalanced bistable equation Consider the following semi-linear problem where are positive functions in ; is a positive parameter and We assume that the functions satisfy ; for all ; there is a […]
Randomized time-splitting in linear-quadratic optimal control By Daniël Veldman Introduction Solving an optimal control problem for a large-scale dynamical system can be computationally demanding. This problem appears in numerous applications. One example is Model Predictive Control (MPC), which requires the solution of several optimal control […]
Felix Klein: A Legacy of Innovation in Mathematics and Education By Roberto Rodríguez del Río, Complutense University of Madrid | IES San Mateo, Madrid Felix Christian Klein lived in a period of history of science in which Mathematics were involved in a process of transformation, […]
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