Publications

The presented publications are connected with the ERC project „CAPA”. The full list of Prof. Javier Gómez-Serrano’s publications can be found here.

  1. Y. Wang, C.-Y.Lai, J.Gómez-Serrano, T. Buckmaster, Self-similar blow-up profile for the Boussinesq equations via a physics-informed neural network, Submitted (2022)
  2. C. García, T.Hmidi, J. Mateu, Time periodic solutions for the 3D quasi-geostrophic model. Comm. Math. Phys., 2022
  3. J. Gómez-Serrano, J. Park and J. Shi, Existence of non-trivial non-concentrated compactly supported stationary solutions of the 2D Euler equation with finite energy, Submitted (2021)
  4. E. García-Juárez, J. Gómez-Serrano, H. Q. Nguyen and B. Pausader, Self-similar solutions for the Muskat equation, Advances in Mathematics, (to appear)
  5. J. Dahne, J. Gómez-Serrano, and K. Hou, A counterexample to Payne’s nodal line conjecture with few holes, Commun. Nonlinear Sci. Numer. Simul., 103, 105957, 2021. Special Issue “Computer Assisted Proofs in Dynamical Systems”
  6. J. Gómez-Serrano, J. Park, J. Shi and Y. Yao, Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results, Phil. Trans. R. Soc. A, (to appear)
  7. J. Gómez-Serrano, J. Park, J. Shi and Y. Yao, Remarks on stationary and uniformly-rotating vortex sheets: Rigidity results, Communications in Mathematical Physics, 386, 1845–1879, 2021
  8. J. Gómez-Serrano, G. Orriols, Any three eigenvalues do not determine a triangle, Journal of Differential Equations, 275, 920-938, 2021
  9. J. Gómez-Serrano, J. Park, J. Shi and Y. Yao, Symmetry in stationary and uniformly-rotating solutions of active scalar equations, Duke Mathematical Journal, 170, no. 13, 2957-3038, 2021
  10. J. Campos, C. García, J. Soler, Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensivity, Submitted (2021)
  11. C. García, Vortex patches choreographies for active scalar equations, J Nonlinear Sci 31, 75, Springer, Published online, 2021
  12. J. Park, Quantitative estimates for uniformly-rotating vortex patches, Submitted (2020)
  13. E. Garcia-Juarez, Y. Mori, R. Strain, The Peskin Problem with Viscosity Contrast. Analysis and PDE (to appear)