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I work in control theory of parabolic partial differential equations in the group of Prof. Juan Límaco at UFF-Niterói (Brazil). During six months of 2025 I was a postdoctoral researcher in the Chair of dynamics, control, machine learning and numerics under the supervision of Prof. Enrique Zuazua at Friedrich-Alexander-Universität Erlangen-Nürnberg. With other colleagues I am also interested in topics of dispersive PDEs and asympthotic methods. 

I finished my Ph.D. in geometric mechanics in december 2017 under the supervision of Paula Balseiro at UFF-Niterói. 

Research interests:

• • • • • • Controllability of degenerate and non-autonomous parabolic PDEs.

          • Bilinear control.

          • Optimal control.

          • Chemotaxis and absorption models.

          • Scattering of some nonlinear dispersive equations. 

Publications:

Preprints:

• Existence, Stability and Controllability of the parabolic-parabolic thermistor model (with Miguel R. Núñez-Chavez and Juan Límaco) [arxiv]

• Controllability of a Semilinear System of Parabolic Equations with Nonlocal Terms (with Juan Límaco and Rafael M. Lobosco) [arxiv]

• Local controllability of free boundary three-dimensional semilinear radial parabolic equations (with Juan Límaco) [arxiv]

• Scattering for the generalized Hartree equation with a potential (with Carlos M. Guzmán and Cristian Loli), submitted [arxiv]

• Controllability of a system of non-autonomous degenerate coupled parabolic equations (with Alfredo S. Gamboa and Juan Límaco), submitted [arxiv]

• Stackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains (with Alfredo S. Gamboa and Juan Límaco), submitted [arxiv]

Published:

• • Hierarchical null controllability of a degenerate parabolic equation with nonlocal coefficient  (with João C. Barreira, Juan Límaco and Suerlan Silva). Nonlinear Analysis: Real World Applications (2025) [arxiv][link]

  • On the controllability of a system of parabolic equations with nonlocal terms (with Juan Límaco and Rafael M. Lobosco), Communications in Mathematical Sciences, 23(4), p. 959-973 (2025) [link] [pdf]

  • Conserved quantities and Hamiltonization of nonholonomic systems (with Paula Balseiro), Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, Vol 38, Issue 1, p. 23-60 (2021) [link] [arxiv]

  • Growth of weighted volume and some applications (with Mirjana Milijevic), Archivum Mathematicum 56, No. 1, 1-10 (2020) [link] [pdf]

  • Nonlinear behavior of the tarka flute's distinctive sounds (with Arnaud Gerard, Sachiko Sakuma, Flavio Ghezzi, Gonzalo M. Ramírez-Ávila), Chaos 26, 093114 (2016) [link] [pdf]

Ph.D. dissertation:

Hamiltonization of the nonholonomic system given by a homogeneous ball rolling on a convex surface of revolution, Universidade Federal Fluminense, December 2017 [pdf]

Short CV:

Education

• • 2013-2017 : Ph.D. in mathematics, Universidade Federal Fluminense.

  • 2009-2018 : Degree in engineering informatics. Universidad Autónoma Tomás Frías.

  • 1999-2006 : Undergraduate studies in physics and M.Sc. in mathematics, Université de Genève.

Employment

• • Nov.2023-   : Postdoctoral researcher, Universidade Federal Fluminense.

  • 2021-2023 : Professor substituto, Universidade Federal do Rio de Janeiro.

  • 2018-2019 : Professor substituto, Universidade Federal Fluminense.

Contact:

Email: luis.yapu AT gmail DOT com