Javier Gómez-Serrano

Full professor at UB
Research area: Partial Differential Equations

PhD in obtained at Universidad Autónoma de Madrid (2013)


I am a Visiting Professor at Brown University and a Distinguished Researcher at University of Barcelona. Before that, I was an Instructor and an Assistant Professor at Princeton.

I co-organize the Brown PDE Seminar.


My research interests are on the boundary between analysis, partial differential equations, fluid mechanics, spectral geometry, numerical computation and rigorous computer-assisted proofs.

My research is partially supported by the European Research Council through ERC Starting Grant 852741. There may be predoc and postdoc positions available in the future. Please contact me for details.

You can click here to get my papers and here for my CV.

Selected publications

Self-similar blow-up profile for the Boussinesq equations via a physics-informed neural network, with T. Buckmaster, C.Y. Lai and Y. Wang.
Submitted (2022).

Existence of non-trivial non-concentrated compactly supported stationary solutions of the 2D Euler equation with finite energy, with J. Park and J. Shi.
Submitted (2021).

Self-similar solutions for the Muskat equation, with E. García-Juárez, H. Q. Nguyen and B. Pausader.
Advances in Mathematics, 399, 108294 (2022).

A counterexample to Payne's nodal line conjecture with few holes, with J. Dahne and K. Hou.
Commun. Nonlinear Sci. Numer. Simul., 103, 105957 (2021).
Special Issue "Computer Assisted Proofs in Dynamical Systems".

Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results, with J. Park, J. Shi and Y. Yao.
Phil. Trans. R. Soc. A, to appear.

Remarks on stationary and uniformly-rotating vortex sheets: Rigidity results, with J. Park, J. Shi and Y. Yao.
Communications in Mathematical Physics, 386, 1845–1879 (2021).

Any three eigenvalues do not determine a triangle, with G. Orriols.
Journal of Differential Equations, 275, 920-938 (2021).

Symmetry in stationary and uniformly-rotating solutions of active scalar equations, with J. Park, J. Shi and Y. Yao.
Duke Mathematical Journal, 170, no. 13, 2957-3038 (2021).