Analysis

NOVA Math > Research Groups > Analysis

About

The research of the Analysis group spans several branches of mathematical analysis and its applications: calculus of variations, dynamical systems, numerical methods for ordinary and partial differential equations, stochastic and deterministic partial differential equations, harmonic analysis and operator theory, mathematical models in physical and biological sciences. The research related to operator theory and harmonic analysis is mainly focused on the study of Fredholm properties of convolution-type operators (like Toeplitz or Wiener-Hopf operators) in Banach function spaces. One of the important themes studied by the group is related to applications of stochastic differential equations in modelling of fluid mechanics. Mathematical modelling of infectious diseases (including COVID 19 and the Dengue fever) is another topic of active research by the group.

Oleksiy Karlovych

Analysis Coordinator

Team

Publications

A generalised distributed-order Maxwell model
2023, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Ferras,LL;Morgado,ML;Rebelo,M
A large deviation principle for fluids of third grade
2023, STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, Almeida,A;Cipriano,F
A Markov chain model to investigate the spread of antibiotic-resistant bacteria in hospitals
2023, STUDIES IN APPLIED MATHEMATICS, Chalub,FACC;Gomez Corral,A;Lopez Garcia,M;Palacios Rodriguez,F
A remark on Toeplitz and Laurent operators acting on lp spaces with power weights
2023, Linear Algebra and Its Applications, Karlovych,O;Shargorodsky,E
A spectral approach to non-linear weakly singular fractional integro-differential equations
2023, FRACTIONAL CALCULUS AND APPLIED ANALYSIS, Faghih,A;Rebelo,M
Analytical study of the annular flow of a generalised Phan-Thien-Tanner fluid
2023, ACTA MECHANICA, Ribau,AM;Ferras,LL;Morgado,ML;Rebelo,M;Pinho,FT;Afonso,AM
Bounded compact and dual compact approximation properties of Hardy spaces: New results and open problems
2023, Indagationes Mathematicae, Karlovych,O;Shargorodsky,E
Entropy and the arrow of time in population dynamics
2023, BIOSYSTEMS, Costa Cabanas,D;Chalub,FACC;Souza,MO
Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions
2023, Stochastics and Partial Differential Equations: Analysis and Computations, Tahraoui,Y;Cipriano,F
Obstacle problem for a stochastic conservation law and Lewy Stampacchia inequality
2023, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Biswas,IH;Tahraoui,Y;Vallet,G

Projects

CoSysM3 - Mathematical Modelling of Multi-scale Control Systems: applications to human diseases
FCT - Fundação para a Ciência e a Tecnologia, I.P., Paula Patrício, Paulo Doutor, magda Rebelo, Fabio...
Projeção do Impacte das medidas Não-farmacológicas de Controlo e mitigação da epidemia de COVID-19 em Tempo ReaL
FCT - Fundação para a Ciência e a Tecnologia, I.P., Paula Patrício
Contribuciones a los modelos estocasticos en epidemias
Agéncia Estatal de Investigación (Spain), Fabio Chalub
Dispersive Evolution Equations
FCT and CAPES (Portugal & Brazil), Filipe Oliveira
Prémio “Estímulo à Investigação 2016”
Fundação Calouste Gulbenkian, Fernanda Cipriano
Game theory and epidemiology
FCT - Fundação para a Ciência e a Tecnologia, I.P., Paula Rodrigues, Fabio Chalub, Paulo Doutor, Maria...
Variational problems in variable exponent Sobolev spaces
FCT - Fundação para a Ciência e a Tecnologia, I.P., Ana Margarida Ribeiro, Rita Ferreira and Oleksiy...
MiMaMathematics in the Making
Lifelong Learning Programme of the European Union Project (EU), Susana Baptista, Nelson Chibeles Martins,...
Degenerate elliptic and parabolic equations and its applications to front propagation propagation
FCT - Fundação para a Ciência e a Tecnologia, I.P., Fabio Chalub
Nonlinear dynamics of ordinary differential equations and applications
FCT - Fundação para a Ciência e a Tecnologia, I.P., Rogério Ferreira Martins