Cristhian Montoya

Publications and Preprints

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

13. Dynamics of Activation and Regulation of the Immune Response to Attack by Viral Pathogens Using Mathematical Modeling. Mathematics 2024,12,2681.
      Ledyz Cuesta-Herrera, Luis Pastenes, Ariel D. Arencibia, Fernando Córdova-Lepe, Cristhian Montoya.

12. Identification of a boundary obstacle in a Stokes fluid with Dirichlet--Navier boundary conditions: external measurements. J. Math. Anal. Appl. (2024), 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