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

Some Mathematical Examples of Emergent Intuitive Local Time Flow
2024, Foundations, Esquível,ML;Krasii,NP;Didier,PL
On a Schrödinger Equation in the Complex Space Variable
2024, APPLIEDMATH, Esquivel,ML;Krasii,NP;Didier,PL
Buzz pollination: A theoretical analysis via scaling invariance
2024, PHYSICAL REVIEW E, Borin,D;de Brito,VLG;Leonel,ED;Hansen,M
Social vs. individual age-dependent costs of imperfect vaccination
2024, MATHEMATICAL BIOSCIENCES, Chalub,FACC;Doutor,P;Patricio,P;Soares,MD
A remark on Toeplitz and Laurent operators acting on £pspaces with power weights
2024, LINEAR ALGEBRA AND ITS APPLICATIONS, Karlovych,O;Shargorodsky,E
Weak solution for stochastic Degasperis-Procesi equation
2024, JOURNAL OF DIFFERENTIAL EQUATIONS, Chemetov,NV;Cipriano,F
Bounded compact and dual compact approximation properties of Hardy spaces: New results and open problems
2024, INDAGATIONES MATHEMATICAE-NEW SERIES, Karlovych,O;Shargorodsky,E
The Brown-Halmos theorem for discrete Wiener-Hopf operators
2024, ADVANCES IN OPERATOR THEORY, Karlovych,O;Thampi,SM
Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions
2024, STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, Tahraoui,Y;Cipriano,F
On the full range of Zippin and inclusion indices of rearrangement-invariant spaces
2024, REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, Curbera,GP;Karlovych,O;Shargorodsky,E

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