Papers

  1. Ariadna Lago, Victoria Otero-Espinar and Tania Pernas-Castaño. Positive solution of singular BVPs for a system of dynamic equations on time scales. Advances in difference equations, 2012(1):185, 2012. https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-185, https://arxiv.org/pdf/1302.5531.pdf
  2. Victoria Otero-Espinar and Tania Pernas-Castaño. Variational approach to second-order impulsive dynamic equations on time scales. Boundary Value Problems, 2013(1):119, 2013. https://boundaryvalueproblems.springeropen.com/articles/10.1186/1687-2770-2013-119 ,https://arxiv.org/pdf/1302.4666.pdf
  3. Diego Córdoba and Tania Pernas-Castaño. Non-splat singularity for the one-phase Muskat problem. Transactions of the AMS, 369(1):711-754, 2017. http://www.ams.org/journals/tran/2017-369-01/S0002-9947-2016-06688-X/ , https://arxiv.org/pdf/1409.2483.pdf
  4. Tania Pernas-Castaño. Local-existence for the Inhomogeneous Muskat problem. Nonlinearity, 30(5):2063, 2017. http://iopscience.iop.org/article/10.1088/1361-6544/aa6691/meta, https://arxiv.org/pdf/1604.01660.pdf
  5. Diego Córdoba and Tania Pernas-Castaño. On the splash and splat singularities for the One-phase Inhomogeneous Muskat Problem. Journal of Nonlinear Science, pages 1-50, 2017. http://rdcu.be/xHKd, https://arxiv.org/pdf/1311.7653.pdf
  6. Tania Pernas-Castaño and Juan J.L. Velázquez. Analysis of a thin film approximation for two-fluid Taylor-Couette Flows. Journal of Differential Equations, Volume 269, Issue 1, pages 377-419, 2020. https://arxiv.org/pdf/1905.13606.pdf , https://www.sciencedirect.com/science/article/abs/pii/S002203961930645X