JUAN CARLOS MUÑOZ GRAJALES

1. Muñoz Grajales, Juan C. Método numérico para un modelo de ondas dispersivas. Matemáticas: Enseñanza Universitaria,  Vol. XI, No. 1,2 , pp. 5-20, Dic., 2003. 

2. Muñoz Grajales, Juan C. and Nachbin, A. Dispersive wave attenuation due to orographic forcing. 

SIAM J. Appl. Math, Vol. 64, No. 3, pp. 977-1001, March 2004. 

3. Quintero, J.R.  and Muñoz Grajales, Juan C. Existence and uniqueness for a system of Boussinesq equations. Methods and Applications of Analysis, vol 11, Nro. 1,  pp. 15-32, 2004. 

4. Fouque, J.P., Garnier, J., Muñoz Grajales, Juan C. and Nachbin A. Time reversing solitary waves. Physical Review Letters, Vol. 92, No. 9, 094502-1 to 094502-4, 2004.

5. Muñoz Grajales, Juan C. and Nachbin, A. Stiff microscale forcing and solitary wave refocusing. 

 SIAM Multiscale Modeling and Simulation, Vol. 3, No. 3, pp. 680-705, 2005.

6. Muñoz Grajales, Juan C. Ecuaciones Dispersivas para Ondas acuáticas. Matemáticas: Enseñanza Universitaria, Vol. XIII, No. 1, pp. 3-14, 2005.

7. Quintero, J.R. and Muñoz Grajales, Juan C. Instability of solitary waves for a generalized Benney-Luke equation. Nonlinear Analysis, Vol. 68 No. 10, pp 3009-3033, 2008.

8. Muñoz Grajales, Juan C. and Nachbin A. Improved  Boussinesq-type equations for highly-variable depth. IMA Journal of Applied Mathematics, 71, pp. 600-633, 2006.

9. Muñoz Grajales, Juan C. Instability and long-time evolution of cnoidal wave solutions

for a Benney-Luke Equation, International Journal of Nonlinear Mechanics 44, pp. 999-1010, 2009.

10.Garnier, J., Muñoz Grajales, Juan C. and Nachbin, A. Effective behaviour of Solitary Waves

over random topography, SIAM Multiscale Modeling and Simulation, Vol. 6, No. 3, pp. 995-1025, 2007. 

11. Muñoz Grajales, Juan C. and Rivas I.  Existence and Asymptotic Decay for a Boussinesq-type model, Journal of Mathematical Analysis and Applications, 345, pp.  455-475, 2008.

12. Muñoz, Juan C. A numerical method to solve a nonlocal dispersive wave system, Matemáticas: Enseñanza Universitaria, Vol. XVII, No. 2,  pp. 41-56, 2009.

13. Muñoz, Juan C. Existence and computation of periodic travelling-wave solutions of a dispersive system, Comm. Mathematical Sciences, Vol 10, No. 3, pp. 917-944, 2012.

14. Quintero, J. and Muñoz, Juan C. Instability of periodic travelling waves with mean zero for a 1D Boussinesq system, Comm. Mathematical Sciences,  Vol. 10, No. 4,  pp. 1173-1205, 2012.

15. Muñoz, Juan C. Decay of solutions of a Boussinesq-type system with variable coefficients, Waves in random and complex media, Vol. 22, No. 4,  pp. 589-612, 2012.

16. Muñoz, Juan C. and Rivas, I. Solitary wave solutions of a weakly dispersive system, Matemáticas: Enseñanza Universitaria, Vol. XX, No. 2,  pp. 3-23, 2012.

17. Muñoz, Juan C. and Quiceno, J. Modulation instability in nonlinear propagation of pulses in optical fibers, Applied Mathematics and Computation 221, pp. 177-191, 2013. 

18.  Muñoz, Juan C. Existence and numerical approximation of solutions of an improved internal wave model, Mathematical Modelling and Analysis, Vol. 19, No. 3, pp. 309-333, 2014.

19. Muñoz, Juan C. Error estimates for a Galerkin numerical scheme applied to a variable coefficient BBM equation, Applicable Analysis, Vol. 94, No. 7, pp. 1405-1419, 2015.

20. Muñoz, Juan C. and Pipicano, F. Existence of periodic travelling wave solutions for a regularized Benjamin-Ono system, J. Diff. Eq. 259, pp. 7503-7528,  2015.

21. Muñoz, Juan C. Propagation of water waves over uneven bottom under the effect of surface tension, Intern. J. Diff. Eqs. Vol. 2015, Article ID 805625, 21 pages,  2015.

22. Muñoz, Juan C. Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation, Revista Colombiana de Matemáticas, Vol. 49, No. 2, pp. 213-234, 2015.

23. Quintero, J.R and Muñoz, Juan C.  Analytic and numerical stability/instability for a Kawahara like model, Analysis and Applications, Vol. 14, No. 4, pp. 479-501, 2016.

24. Muñoz, Juan C. and Lozano, Luis F. Existence and uniqueness for a nonlocal internal wave model, Analysis and Applications, Vol. 14, No. 2,  pp. 269-302, 2016.

25. Muñoz, Juan C. and Vargas, L. Error analysis of a Galerkin method applied to the Schrödinger equation, Applicable Analysis, Vol. 95, No. 1, pp. 156-173, 2016.

26. Muñoz, Juan C. and Pipicano, F. Well-poseness and computation of solutions of a regularized Benjamin-Ono system, Revista Integración, Vol. 34, No.1, pp. 59-80, 2016.

27. Quintero, J. and Muñoz, Juan C. Solitary waves for an internal wave model. Disc. Cont. Dyn. Sys. Ser. A,  Vol. 36, No. 10, 5721-5741, 2016.

28. Muñoz, Juan C. Vector solitons of a coupled Schrödinger system with variable coefficients, Advances in Mathematical Physics, Vol. 2016, Article ID 5787508, 20 pages, 2016.

29. Muñoz Juan C. Error analysis of an implicit spectral scheme applied to the Schrödinger-Benjamin-Ono system, Intern. J. Diff. Eqs. Vol. 2016, Article ID 6930758, 12 pages, 2016.

30. Muñoz, Juan C. and Vargas L. Analysis of a Galerkin approach applied to a system of coupled Schrödinger equations, J. Comp. Appl. Math. 313, pp. 318-342,  2017.

31. Quintero, J. and Muñoz, Juan C.  On the existence of periodic travelling waves for a 2D water wave model, Communications on Pure and Applied Analysis, Vol. 17, No. 2, pp. 557-578, 2018.

32. Muñoz, Juan C. A Newton-type approach to approximate travelling wave solutions of a Schrödinger-Benjamin-Ono system, Advances in Mathematical Physics, Vol 2018, Article ID 3586514, 2018.

33. Muñoz, Juan C.,  Ruzhansky, M. and Tokmagambetov, N. Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters. J. Mathématiques Pures et Appliquées, Vol. 123, pp. 127-147, 2019.

34. Muñoz, Juan C.,  Ruzhansky, M. and Tokmagambetov, N. Acoustic and shallow water wave propagations with irregular dissipation, Functional Analysis and its Applications, Vol, 53, No.2, pp. 153-156, 2019.

35. Muñoz, Juan C. and Pipicano, F. Existence of periodic standing wave solutions for a system describing pulse propagation in an optical fiber, Revista Colombiana de Matemáticas, Vol. 53, No. 1, pp. 93-113, 2019.

36. Muñoz, Juan C. and Vargas, L. Existence and numerical computation of standing wave solutions for a system of two coupled Schrödinger equations. Analysis and Partial Differential Equations: Perspectives from Developing Countries, Springer PROMS 275, pp. 191-206,  2018.

37. Muñoz, J.C. , Pipicano, F.A. and Sosa, A. Reconstruction of a space dependent coefficient in a linear Benjamin-Bona-Mahony type equation. To appear in Comput. Meth. Appl. Math., 2021.

38. Gajardo, D. Mercado, A. and Muñoz, J.C. Identification of the anti-diffusion coefficient for the linear Kuramoto-Sivanshinsky equation. J. Math. Anal. Appl. Vol. 495, No. 2, 124747, 2021.

39. Muñoz, Juan C. Non-homogeneous boundary value problems for some KdV-type equations on a finite interval: a numerical approach, Comm. Nonlin. Sci. Numer. Simul., Vol. 96, 105669, 2021.

40. Mejía, L.F. and Muñoz, J.C. Analytical and Rothe time-discretization method for a Boussinesq-type system over an uneven bottom,   2021.

41. Muñoz, Juan C. and Rivas, I. Analysis and numerical study of a regularized Boussinesq model for water wave propagation in a tank with irregular depth, preprint, 2020.

42. Pipicano, F. , Muñoz, J.C., Lecaros, R. and Mercado, An inverse problem for a nonlinear-dispersive Benjamin-Bona-Mahony type equation, submitted, 2024.

43. Pipicano, J.C. and Muñoz, J.C. Existence and computation of periodic travelling waves for an intermediate long wave equation, preprint, 2020.

44. Gajardo, D. and Muñoz, J.C. Identification of the source term in the Kuramoto-Sivanshinsky equation, preprint, 2020.

45. Muñoz Grajales, J.C.  and Pizo, D.  Existence and numerical approximation of solutions of a Schrödinger equation with derivative in the nonlinear term, preprint, 2024.  

46. Molina, J.J. and Muñoz Grajales, J.C.  Identification of a source term in a 2D heat equation using the Landweber regularization method, preprint, 2022.

47. Pastrán, R. and Muñoz Grajales, J.C. Study of an initial value problem for a Benjamin-Ono type system, preprint, 2022. 

48. Pizo, D.M. and Muñoz Grajales, J.C. An inverse problem for a linear system of dispersive equations,  submitted, 2024.

49. Loaiza G.  and Muñoz Grajales, J.C. Well-posedness and numerical solver for a KPI equation with time-dependent coefficients. Submitted, 2024.

50. Tapié, D.  and Muñoz Grajales, J.C. Numerical approach for a data assimilation problem associated with a Burgers equation with viscosity, preprint, 2024.

51. Loaiza, G. and Muñoz Grajales, J.C.   On the periodic Ostrovsky equation with time-dependent coefficients, submitted, 2024.