Have a look at

Ph.D. Thesis

The role of first order superlinear terms in local and global time behaviour of nonlinear parabolic equations

(If you attended my Ph.D. defense, you probably remember playing the defense bingo! I took inspiration from the seminar bingo by PhD comics)

Papers

• Submitted

  1. Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension - T. Alazard, M. M. & N. Meunier (arXiv)

  2. On a fourth order equation describing single-component film models - M. M. (arXiv)

• Published

  1. On some parabolic equations involving superlinear singular gradient terms - M. M. & F. Oliva, Journal of Evolution Equations (2021) (arXiv)

  2. Regularizing effect and decay results for a parabolic problem with repulsive superlinear first order terms - M. M., Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (2021) (arXiv)

  3. Regularizing effects concerning elliptic equations with a superlinear gradient term - M. Latorre Balado, M. M. & S. Segura de León, Revista Matemática Complutense (2020) (arXiv)

  4. Comparison results for a parabolic Cauchy-Dirichlet problem with superlinear gradient growth - T. Leonori & M. M., Communications on Pure and Applied Analysis (2019) (arXiv)

  5. Local and global time decay for parabolic equations with super linear first order terms - M. M. & A. Porretta, Proceedings of the London Mathematical Society (2019) (arXiv)

  6. Global Existence and Decay to equilibrium for some crystal surface models - R. Granero-Belinchón & M. M., Discrete and Continuous Dynamical Systems-A (2019) (arXiv)

  7. Existence results for a Cauchy-Dirichlet parabolic problem with a repulsive gradient term - M. M., Nonlinear Analysis (2018) (arXiv)

Talks and poster

• Main talks

  • El papel de términos super lineales de primer orden en el comportamiento local y global en tiempo de ecuaciones parabólicas no lineales – University of València, València, Spain

  • The regularizing effect of perturbed superlinear gradient terms in elliptic equations – "Sapienza" University of Rome, Rome, Italy

  • Global existence and decay to equilibrium for some crystal surface models – Conference of the Euro-Maghreb International Research Network in Mathematics and Applications, Academy of Science, Madrid, Spain

• Poster

  • The regularizing effect of superlinear gradient terms in nonlinear parabolic equations – Sobolev spaces and partial differential equations, Accademia dei Lincei, Rome, Italy