Martin Lazar

Visiting Scientist (August 15th, 2021 – June 30th, 2022 || September 12nd – September 23th, 2022)

Funded by AvH -Alexander von Humboldt Stiftung/Foundation

University of Dubrovnik

My research area covers several topics ranging from microanalysis via applied mathematics to geophysical fluid dynamics.

Currently, I focus mainly on control theory and, in particular, on parameter dependent problems. The research topics include: Control theory: Control of parameter dependent systems (greedy control, averaged control), optimal control of parabolic problems Microlocal analysis: PDEs and homogenisation, velocity averaging, microlocal defect functionals (1-scale H-measures, semiclassical measures, H-distributions) Geophysical fluid dynamics: analytical modelling in oceanography.

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Approximating the 1D wave equation using Physics Informed Neural Networks (PINNs)

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Derivation of the pressure function

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Lloyd’s Algorithm

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Using the support function for optimal shape design

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Uniform Turnpike Property

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Martin Lazar

Martin Lazar