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Simão Correia.
Identification

Personal identification

Full name
Simão Correia

Citation names

  • Correia, Simão

Author identifiers

Ciência ID
D911-FAE4-5F1D
ORCID iD
0000-0002-7787-1352
Researcher Id
X-6126-2018
Scopus Author Id
56606869300

Websites

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2)
French Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1) Elementary (A2)
Education
Degree Classification
2017/12/01 - 2018/08/31
Concluded
 Contrato de pós-doutoramento (Pós-doutoramento)
Institut de recherche mathématique avancée, France
2014/09/01 - 2017/11/08
Concluded
 Matemática (Doutoramento)
Major in Análise Matemática
Universidade de Lisboa Faculdade de Ciências, Portugal
"Dynamics fro Schrödinger evolution problems" (THESIS/DISSERTATION)
 Aprovado com Distinção e Louvor
2011/09/01 - 2013/10/03
Concluded
 Matemática (Mestrado)
Major in Análise Matemática
Universidade de Lisboa Faculdade de Ciências, Portugal
"Problemas Estacionários e de Explosão para Equações de Schrödinger Semilineares" (THESIS/DISSERTATION)
 20
2008/09/01 - 2011/07/01
Concluded
 Matemática (Licenciatura)
Universidade de Lisboa Faculdade de Ciências, Portugal
 20
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2019/09/01 - Current Assistant Professor (University Teacher) Universidade de Lisboa Instituto Superior Técnico, Portugal
2018/09/01 - 2019/08/31 Invited Assistant Professor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
2015/09/01 - 2018/08/31 Assistant (University Teacher) Universidade Nova de Lisboa Nova School of Business and Economics, Portugal
2012/09/01 - 2013/07/31 Tutor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
Projects

Contract

Designation Funders
2021/03/01 - Current Nonlinear Dispersive and Elliptic Systems - new horizons in regularity, dynamics and asymptotic analysis
PTDC/MAT-PUR/1788/2020
Post-doc
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
Ongoing
2016/02/01 - 2018/12/31 Convénio CAPES-FCT Equações de evolução dispersivas (Dispersive Evolution Equations)
CAPES-FCT2016-EED
Researcher
Fundação para a Ciência e a Tecnologia, Portugal
Concluded
Outputs

Publications

Journal article
  1. Agostinho, Francisco; Correia, Simão; Tavares, Hugo. "Classification and stability of positive solutions to the NLS equation on the T -metric graph". Nonlinearity 37 2 (2024): 025005. http://dx.doi.org/10.1088/1361-6544/ad1535.
    10.1088/1361-6544/ad1535
  2. Simão Correia; Mário Figueira. "A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity". Nonlinear Differential Equations and Applications NoDEA 30 3 (2023): http://dx.doi.org/10.1007/s00030-023-00846-y.
    10.1007/s00030-023-00846-y
  3. Vanessa Barros; Simão Correia; Filipe Oliveira. "On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity". Differential and Integral Equations 35 7/8 (2022): http://dx.doi.org/10.57262/die035-0708-371.
    10.57262/die035-0708-371
  4. Simão Correia. "Nonlinear smoothing and unconditional uniqueness for the Benjamin–Ono equation in weighted Sobolev spaces". Nonlinear Analysis 205 (2021): 112227-112227. http://dx.doi.org/10.1016/j.na.2020.112227.
    10.1016/j.na.2020.112227
  5. Correia, Simão; Figueira, Mário. "A generalized complex Ginzburg-Landau equation: Global existence and stability results". Communications on Pure & Applied Analysis 0 0 (2021): 0. http://dx.doi.org/10.3934/cpaa.2021056.
    10.3934/cpaa.2021056
  6. Correia, Simão; Silva, Jorge Drumond. "Nonlinear smoothing for dispersive PDE: A unified approach". Journal of Differential Equations (2020): http://dx.doi.org/10.1016/j.jde.2020.03.038.
    10.1016/j.jde.2020.03.038
  7. Correia, Simão; Côte, Raphaël; Vega, Luis. "Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation". Journal de Mathématiques Pures et Appliquées (2020): http://dx.doi.org/10.1016/j.matpur.2020.03.013.
    10.1016/j.matpur.2020.03.013
  8. Correia, Simão; Côte, Raphaël; Vega, Luis. "Self-Similar Dynamics for the Modified Korteweg–de Vries Equation". International Mathematics Research Notices (2020): http://dx.doi.org/10.1093/imrn/rnz383.
    10.1093/imrn/rnz383
  9. Correia, Simão; Drumond Silva, Jorge; Simão Correia; Filipe Oliveira; Jorge D. Silva. "Mass-transfer instability of ground-states for Hamiltonian Schrödinger systems". Journal d'Analyse Mathématique 148 2 (2019): 681-710. http://dx.doi.org/10.1007/s11854-022-0240-5.
    Submitted • 10.1007/s11854-022-0240-5
  10. Correia, S.; Figueira, M.. "Some L 8 solutions of the hyperbolic nonlinear Schrödinger equation and their stability". Advances in Differential Equations 24 1-2 (2019): 1-30. http://www.scopus.com/inward/record.url?eid=2-s2.0-85061731119&partnerID=MN8TOARS.
  11. Correia, S.; Figueira, M.. "Some stability results for the complex Ginzburg-Landau equation". Communications in Contemporary Mathematics (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85066070325&partnerID=MN8TOARS.
    10.1142/S021919971950038X
  12. Corcho, Adán J.; Correia, Simão; Oliveira, Filipe; Silva, Jorge D.. "On a nonlinear Schrödinger system arising in quadratic media". Communications in Mathematical Sciences 17 4 (2019): 969-987. http://dx.doi.org/10.4310/cms.2019.v17.n4.a5.
    10.4310/cms.2019.v17.n4.a5
  13. Correia, Simão. "Finite speed of disturbance for the nonlinear Schrödinger equation". Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2018): http://dx.doi.org/10.1017/prm.2018.69.
    10.1017/prm.2018.69
  14. Correia, Simão. "Existence and Stability of Spatial Plane Waves for the Incompressible Navier–Stokes in $$\mathbb {R}^3$$ R 3". Journal of Mathematical Fluid Mechanics (2018): http://dx.doi.org/10.1007/s00021-017-0317-6.
    10.1007/s00021-017-0317-6
  15. Correia, S.. "Local Cauchy theory for the nonlinear Schrödinger equation in spaces of infinite mass". Revista Matematica Complutense 31 2 (2018): 449-465. http://www.scopus.com/inward/record.url?eid=2-s2.0-85034261691&partnerID=MN8TOARS.
    10.1007/s13163-017-0250-5
  16. Correia, S.; Oliveira, F.. "Scattering theory for the Schrödinger-Debye system". Nonlinearity 31 7 (2018): 3203-3227. http://www.scopus.com/inward/record.url?eid=2-s2.0-85049055607&partnerID=MN8TOARS.
    10.1088/1361-6544/aaba33
  17. Correia, S.; Figueira, M.. "Spatial plane waves for the nonlinear Schrödinger equation: Local existence and stability results". Communications in Partial Differential Equations 42 4 (2017): 519-555. http://www.scopus.com/inward/record.url?eid=2-s2.0-85016113221&partnerID=MN8TOARS.
    10.1080/03605302.2017.1295059
  18. Correia, S.. "Characterization of ground-states for a system of M coupled semilinear Schrödinger equations and applications". Journal of Differential Equations 260 4 (2016): 3302-3326. http://www.scopus.com/inward/record.url?eid=2-s2.0-84953321773&partnerID=MN8TOARS.
    10.1016/j.jde.2015.10.032
  19. Correia, S.. "Ground-states for systems of M coupled semilinear Schrödinger equations with attraction-repulsion effects: Characterization and perturbation results". Nonlinear Analysis, Theory, Methods and Applications 140 (2016): 112-129. http://www.scopus.com/inward/record.url?eid=2-s2.0-84962732300&partnerID=MN8TOARS.
    10.1016/j.na.2016.03.006
  20. Correia, S.; Oliveira, F.; Tavares, H.. "Semitrivial vs. fully nontrivial ground states in cooperative cubic Schrödinger systems with d = 3 equations". Journal of Functional Analysis 271 8 (2016): 2247-2273. http://www.scopus.com/inward/record.url?eid=2-s2.0-84995611009&partnerID=MN8TOARS.
    10.1016/j.jfa.2016.06.017
  21. Correia, S.. "Stability of ground-states for a system of M coupled semilinear Schrödinger equations". Nonlinear Differential Equations and Applications 23 3 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-85008506406&partnerID=MN8TOARS.
    10.1007/s00030-016-0379-9
  22. Correia, Simão. "A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation". São Paulo J. Math. Sci. (2015): http://dx.doi.org/10.1007/s40863-015-0020-6.
    10.1007/s40863-015-0020-6
  23. Correia, S.. "Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the L<sup>2</sup>-critical case". Communications in Contemporary Mathematics 17 3 (2015): http://www.scopus.com/inward/record.url?eid=2-s2.0-84928527080&partnerID=MN8TOARS.
    10.1142/S0219199714500308
  24. Correia, Simão. "Ondas progressivas no modelo de Fisher-Kolmogorov – um clássico moderno". Boletim da Sociedade Portuguesa de Matemática 67 (2012): https://revistas.rcaap.pt/boletimspm/article/view/3881.
    Open access • Published
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/04/03 The modified Korteweg-de Vries flow around self-similar solutions: large-time asymptotics and blow-up stability
University of Edinburgh (Edinburgo, United Kingdom)
2022/12/17 A priori estimates for dispersive equations via frequency-restricted estimates
Basque Center for Applied Mathematics
2022/11/09 The modified Korteweg-de Vries flow around self-similar solutions: large-time asymptotics and blow-up stability 5th - Workshop on NLDE
Universidade Federal de Minas Gerais
2022/09/07 Stable perturbations of self-similar solutions for the modified KdV at the blow-up time 8th IST-IME Meeting
Instituto Superior Técnico
2022/07/19 Stationary solutions to some Ginzburg-Landau equations PICNDEA 2022
Universidade de Évora
2022/07/13 Self-similar solutions and the modified Korteweg-de Vries equation Three Nonlinear Days in Coimbra Workshop
Universidade de Coimbra
2022/06/01 The infinite normal form reduction for nonlinear dispersive equations
Universidade de Aveiro
2021/04/01 Self-similar dynamics for the modified Korteweg-de Vries equation IMPA Analysis and PDE Seminar
2021/01/30 The nonlinear smoothing property for dispersive equations
University of Cergy (France)
2019/11/07 Nonlinear smoothing for dispersive equations: a unifying approach 4th - Workshop on NLDE
(Rio de Janeiro, Brazil)
2019/07/30 Critical well-posedness for the modified Korteweg-de Vries equation and self-similardynamics
2019/06/26 À volta da equação de Ginzburg-Laudau complexa Dia das Equações
2019/06/08 Critical well-posedness for the modified Korteweg-de Vries equation and self-similar dynamics Nonlinear PDEs in Braga
(Braga, Portugal)
2018/10/12 Self-similar solutions for the modified Korteweg-de Vries equation 7th Iberian Mathematical Meeting
(Portugal)
2018/10/11 Self-similar solutions for the modified Korteweg-de Vries equation
Workshop Topics in Nonlinear Analysis: Calculus of Variations and PDEs (Portugal)
2018/09/22 Self-similar solutions for the modified Korteweg-de Vries equation GE2MI conference on PDE’s, Control Theory and Related Topics
(Portugal)
2018/07/26 Semitrivial vs. fully nontrivial ground-states for systems of M coupled Schrödinger equations ICM Satellite Conference on Nonlinear PDE
(Brazil)
2018/01/30 La théorie des ondes planes spatiales appliquée aux EDP
Institut de Recherche Mathématique Avancée (France)
2018/01/11 Some new local and global well-posedness results for the nonlinear Schrödinger equation
Université Paris 11 (France)
2017/09/14 Local and global well-posedness for the nonlinear Schrödinger equation in spaces of infinite mass CAMGSD-CMAFCIO Differential Equations Meeting
Faculdade de Ciências da Universidade de Lisboa
2017/01/26 Some new qualitative results on the nonlinear Schrödinger equation
Faculdade de Ciências da Universidade de Lisboa
2016/11/03 Spatial plane waves for the NLS: local existence and stability results
Universidade Federal do Rio de Janeiro (Brazil)
2016/10/12 The theory of spatial plane waves
Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia
2015/05/27 Existence and characterization of ground-states for a system of M coupled semilinear Schrödinger equations
Centro de Análise Matemática, Geometria e Sistemas Dinâmicos
2013/02/21 On a class of inverse parabolic problems with functional observation
Centro de Matemática e Aplicações Fundamentais (Lisboa, Portugal)

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2020/02/05 - 2020/02/06 12ª Escola de Inverno de Matemática (2020/02/05 - 2020/02/06)
Meeting (Co-organisor)
 Universidade de Lisboa Instituto Superior Técnico, Portugal
2018/07/01 - 2019/02/16 Jornadas da Matemática em Ciências - uma semana com mini-cursos, palestras e interacção com empresas direccionado para alunos de licenciaturas e mestrados com forte componente matemática (2019/02/13 - 2019/02/16)
Meeting (Co-organisor)
 Universidade de Lisboa Faculdade de Ciências, Portugal
2014/09/01 - 2015/07/01 Informal Seminar in Mathematics (2014/09/01 - 2015/07/01)
Seminar (Co-organisor)
 Universidade de Lisboa Faculdade de Ciências, Portugal

Event participation

Activity description
Type of event 		Event name
Institution / Organization
2019/06/02 - 2019/06/07 Intensive Week of PDEs@Cogne
Meeting
 Intensive Week of PDEs@Cogne
Università degli Studi di Torino Dipartimento di Matematica Giuseppe Peano, Italy
2018/06/11 - 2018/06/15 Journées EDP’s Obernai
Meeting
 Journées EDP’s
Centre National de la Recherche Scientifique, France
2017/06/12 - 2017/06/16 French-American Conference on Nonlinear Dispersive PDEs
Conference
 French-American Conference on Nonlinear Dispersive PDEs
Centre International de Rencontres Mathématiques, France
2016/07/18 - 2016/07/29 Nonlinear Waves Summer School
Other
 Nonlinear Waves Summer School
Institut des Hautes Études Scientifiques, France
2015/12/17 - 2015/12/19 International Workshop on Calculus of Variations and its Applications
Workshop
 International Workshop on Calculus of Variations and its Applications
Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal
2015/06/10 - 2015/06/13 AMS-EMS Conference 2015
Conference
 AMS-EMS Conference 2015
Universidade do Porto Faculdade de Ciências, Portugal
2014/06/30 - 2014/07/04 Partial differential equations and nonlinearities
Conference
 Partial differential equations and nonlinearities
Institut Henri Poincaré, France
2011/07/18 - 2011/07/29 RTG Summer School 2011 at the University of Texas
Other
 RTG Summer School 2011 at the University of Texas
University of Texas at Austin, United States
2011/04/28 - 2011/04/30 3rd Porto Meeting on Mathematics for Industry
Meeting
 3rd Porto Meeting on Mathematics for Industry
Universidade do Porto Faculdade de Ciências, Portugal
2010/04/16 - 2010/04/18 2nd Porto Meeting on Mathematics for Industry
Meeting
 2nd Porto Meeting on Mathematics for Industry
Universidade do Porto Faculdade de Ciências, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2022/11/29 Optimal uniform bounds for competing variational elliptic systems with variable coefficients
(Thesis) Arguer
 Manuel Afonso Guerreiro Grosso Dias (Master)
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
2020/05/25 Existence and Qualitative Properties of Solutions to Nonlinear Schrödinger Equations on Metric Graphs
(Thesis) Arguer
 Francisco Cristóvão Agostinho (Master)
Universidade de Lisboa Faculdade de Ciências, Portugal
2019/11/26 AN INTRODUCTION TO DISTRIBUTION THEORY, FOURIER TRANSFORM, SOBOLEV SPACES AND ITS APPLICATIONS TO THE BLACK-SCHOLES EQUATION
(Thesis) Main arguer
 BRENO LUCAS DA COSTA GONÇALVES (Master)
Universidade de Lisboa Instituto Superior de Economia e Gestão, Portugal

Journal scientific committee

Journal title (ISSN) Publisher
2018/03/02 - Current Nonlinearity (1361-6544) IOP Publishing
2017/10/04 - Current Evolution Equations and Control Theory (2163-2480) American Institute of Mathematical Sciences
2017/06/05 - Current Nonlinear Analysis (0362-546X) Elsevier
2017/01/01 - Current Nonlinear Differential Equations and Applications NoDEA (1420-9004) Springer-Verlag

Mentoring / Tutoring

Topic Student name
2019/05/01 - 2020/01/01 Teoria qualitativa para a equação de Schrödinger cúbica em dimensão um Luís Simão Ferreira
Distinctions

Award

2013 Award for Best Graduate Student
Universidade de Lisboa Faculdade de Ciências, Portugal
2012 Award for Academic Excellence
Fundação Eugénio de Almeida, Portugal
2009 Best Freshman Student
Universidade de Lisboa Faculdade de Ciências, Portugal