(PO) MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

The research activities of the Group focus on:

- Regularity properties for the solutions of Partial Differential Equations and for the minimizers of some integral functionals of the Calculus of Variations;

- Functional Spaces and their applications in Probability and Statistics;

- Interpolation spaces and applications of the interpolation theory to PDE’s;

- Integral operators. 

The research activities of the Mathematics Analysis Group focus on:

- Construction of class of representations of discrete hyperbolic fundamental groups of surfaces.

- Construction of mathematical transforms defined in the spectral domain of finite graphs and applications to compression, denoising and reconstruction of signals defined on large graphs.

The group is dedicated to the following research activities:

1) Construction of mathematical models based on partial and ordinary differential equations linked to the description of phenomena arising in different applied fields, in particular ecology and engineering;

2) Extension of nonlocal elasticity theories based on stress-driven spatial convolutions;

The Smart System Laboratory (SSLab) comprises three specialized units [https://smartsys.ualg.pt], namely:

Central focus of the research of this group includes graph theory (with emphasis on extremal graph theory), complex networks (with emphasis on multiplexes, curriculum networks and network descriptors), mathematical chemistry (with emphasis on molecular descriptors, nanotechnology, peptide antibiotics), and discrete mathematics in general. Our goal is to obtain purely mathematical results and multidisciplinary applications.

PhD Tatjana Stanivuk, CIVIL ENGINEERING, TRANSPORTATION SCIENCE & TECHNOLOGY, MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

PhD Anita Gudelj, COMPUTER SCIENCE, INFORMATION SYSTEMS

PhD Igor Jelaska, MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Goran Kovačević, MATHEMATICS, INTERDISCIPLINARY APPLICATIONS