Cristhian Montoya

Publications and Preprints

13. Inverse source problems for coupled parabolic systems from measurements of one internal component. Submitted (2024)
      Cristhian Montoya, Ignacio Brevis, David Bolivar.

12. Identification of a boundary obstacle in a Stokes fluid with Dirichlet--Navier boundary conditions: external measurements. J. Math. Anal. Appl. (2023), 127814
      Louis Breton, Cristhian Montoya, Pedro González-Casanova, Jesús López Estrada.

11. A numerical study of third-order equation with time-dependent coefficients: KdVB equation. Submitted. pdf
      C. Montoya, C. Spa.

10. Robust Stackelberg Controllability for the Kuramoto-Sivashinsky Equation. Math. Control Signals Syst. (2022), 1-44. Codes
    L. Breton, C. Montoya.

9. RBF collocation and hybrid-LHI methods for Stokes systems and its application to controllability problems. Comp. Appl. Math. 40, 15 (2021).
    L. Breton, P. González-Casanova, C. Montoya.

8. Mathematical modelling for malaria under resistance and population movement. Rev. Integr. temas mat. 38 (2020), No. 2, 131-161.
    C. Montoya, J-P. Romero-Leiton.

7. Remarks on local controllability for the Boussinesq system with Navier boundary condition. Comptes Rendus Mathématique, Volume 358 (2020) no. 2, pp. 169-175.
    C. Montoya.

6. Local Exact Controllability to the Trajectories of the Korteweg-de Vries-Burgers Equation on a Bounded Domain with Mixed Boundary Conditions.
    J. Differential Equations, Vol. 268, No. 9, 2020, pp. 4945-4972. E. Cerpa, C. Montoya, B-Y. Zhang.

5. Inverse source problems for the Korteweg–de Vries–Burgers equation with mixed boundary conditions. J. Inverse Ill-Posed Probl. Volume 27, Issue 6, 2019, Pages 777–794.
    C. Montoya.

4. Observer Design for Multidimensional Parabolic Systems. IFAC PapersOnLine 195-200.Volume 52, Issue 2, 2019, Pages 195-200.
    C. Montoya, J. Moreno, L de Teresa.

3. Robust Stackelberg controllability for the Navier–Stokes equations. Nonlinear Differ. Equ. Appl. (2018) 25: 46.
    C. Montoya, L de Teresa.

2. Local null controllability of the N-dimensional Navier-Stokes system with nonlinear Navier-Slip boundary conditions and N−1 scalar controls. J. Math. Pures Appl. (9), 113:37–69, 2018.
    S. Guerrero, C. Montoya.

1. A source reconstruction algorithm for the Stokes system from incomplete velocity measurements. Inverse Problems, 33,10, pages 105003, 2017.
    G. C. García, C. Montoya, A. Osses.

Manuscripts

  • Doctoral thesis. Inverse source problems and controllability for the Stokes and Navier-Stokes equations. pdf

  • Master thesis. Sobre una clase de ecuaciones en derivada fraccionaria en espacios de Banach. pdf

  • Undergraduate thesis. Resolución del problema de Cauchy ecuaciones diferenciales de orden no entero, resueltas respecto a la derivada. pdf