Filipe C. Mena

Full Professor (Professor Catedrático)
Vice-President of the Department of Mathematics, Instituto Superior Técnico, Univ. Lisboa
Member, Center of Mathematical Analysis, Geometry and Dynamical Systems, IST
Collaborator, Center of Mathematics, Universidade do Minho

Address, Phone and Email

Departamento de Matemática,
Instituto Superior Técnico, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal.
Office: Mathematics Building, 5th floor, room 5.48
Tel: +351 21 8417130 (direct),
Email: filipecmena(at)tecnico(dot)ulisboa(dot)pt

Contents of this page

(Last update: February 2024)
me

(Photo taken by the ENEF2016 organizers)

Research interests

Mathematical Physics, General Relativity, Differential Geometry and Applications

Future and Recent Talks (sample)

(2024) Mathematical problems of generalised theories of gravity, YITP long term workshop on Gravity and Cosmology 2024, Kyoto, Japan, 29/Jan-1/Mar
(2024) Spherically symmetric Einstein massive scalar field systems, XI International Meeting on Lorentzian Geometry, Mérida, Mexico, 29/Jan-2/Feb
(2023) Global solutions to the spherically symmetric Einstein-scalar field system, Laboratoire Jacques-Louis Lions, Sorbonne Université, Paris, 21/Dec,
link
(2022) Global evolution and stability of cosmological models, plenary talk at 11th Aegean Summer School, Syros, Greece, 5-15/Sep
(2019) Generalizations of Hawking-Penrose singularity theorems, CMAT Open Day, Braga, 25/Out
(2018) Applications of spacetime matching: models of black hole formation and gravitational wave emission, Rikkyo University, Tokyo, 22/May

Recent Outreach Activities (sample)

(2023) Science and Technology of Space Exploration, Round Table, Univ. Minho, Braga, 24/Nov, link
(2019) Dynamics of cosmological models, talk, Jornadas de Matemática, IST, Lisboa, 3-4/Apr, link

Recent Event Organization (sample)

(2023) XVII Iberian Cosmology Meeting, Scientific Committee, Ponte de Lima, 3-5/Apr, link
(2022) XV Black Hole Workshop, Scientific Committee, Lisboa, 19-20/Dec, link
(2019) Portuguese Mathematical Society Summer School 2019, Scientific and Local Organizing Committees, Lisboa, 2-5/July, link
(2018) Diagonal Seminars (for Maths students at IST), Lisboa, link
(2017) XXVI International Fall Workshop on Geometry and Physics, Local Organizing Committee, Braga, 4-7/Sep, link

Recent Preprints

  • Global evolution in spherical symmetry for self-gravitating massive fields (with P. LeFloch and T-C Nguyen)
    Journal of Differential Equations, to appear, preprint online

  • Dynamics of interacting monomial scalar field potentials and perfect fluids (with A. Alho and V. Bessa)
    Journal of Dynamics and Differential Equations, to appear, preprint online

  • Asymptotic structure and stability of spatially homogeneous space-times with a positive cosmological constant (with C. Luebbe)
    Advances in Theoretical and Mathematical Physics, to appear, preprint online

  • Improved decay estimates and C²-asymptotic stability of solutions to the Einstein-scalar field system in spherical symmetry (with J. Costa and R. Duarte)
    Journal of Hyperbolic Differential Equations, to appear, preprint online