Publications and Preprints
12. Inverse source problems for coupled parabolic systems using measurements of one scalar state -Part I:
Theoretical analysis.
pdf
      C. Montoya.
11. A numerical study of third-order equation with time-dependent coefficients: KdVB equation. Submitted.
pdf
      C. Montoya.
10. Robust Stackelberg Controllability for the
Kuramoto-Sivashinsky Equation. Submitted.
pdf.
Codes
    L. Breton, C. Montoya.
9. RBF collocation and hybrid-LHI methods for Stokes systems and its application to controllability problems.
    L. Breton, P. González-Casanova, C. Montoya.
Comp. Appl. Math. 40, 15 (2021).
8. Mathematical modelling for malaria under resistance and population movement.
    C. Montoya, J-P. Romero-Leiton.
Rev. Integr. temas mat. 38 (2020), No. 2, 131-161.
7. Remarks on local controllability for the Boussinesq system with
Navier boundary condition.
    C. Montoya.
Comptes Rendus Mathématique, Volume 358 (2020) no. 2, pp. 169-175.
6. Local Exact Controllability to the Trajectories of the Korteweg-de
Vries-Burgers Equation on a Bounded Domain with Mixed
Boundary Conditions.
    E. Cerpa, C. Montoya, B-Y. Zhang.
J. Differential Equations. Volume 268,
Issue 9, 15 April 2020, Pages 4945-4972.
5. Inverse source problems for the Korteweg–de Vries–Burgers equation with mixed boundary
conditions.
    C. Montoya.
J. Inverse Ill-Posed Probl. Volume 27, Issue 6, 2019, Pages 777–794.
4. Observer Design for Multidimensional Parabolic Systems.
    C. Montoya, J. Moreno, L de Teresa.
IFAC PapersOnLine 195-200.Volume 52, Issue 2, 2019, Pages 195-200.
3. Robust Stackelberg controllability for the Navier–Stokes equations.
    C. Montoya, L de Teresa.
Nonlinear Differ. Equ. Appl. (2018) 25: 46.
2. Local null controllability of the N-dimensional Navier-Stokes system with nonlinear
Navier-Slip boundary conditions and N−1 scalar
controls.
    S. Guerrero, C. Montoya.
J. Math. Pures Appl. (9), 113:37–69, 2018.
1. A source reconstruction algorithm for the Stokes system from incomplete velocity measurements.
    G. C. García, C. Montoya, A. Osses.
Inverse Problems, 33,10, pages 105003, 2017.
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