LIST OF PUBLISHED ARTICLES
⭐ Among my best three research products.
LIST OF PUBLISHED ARTICLES
⭐ Among my best three research products.
1. E. A. Bustamante, J. M. Jiménez and A. Muñoz. On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation. Nonlinear Differ. Equ. Appl. 32 : 57, 2025. DOI 10.1007/s00030-025-01066-2
2. A. Muñoz. On decay of solutions to some perturbations of the Korteweg-de Vries equation. Nonlinear Differ. Equ. Appl. 31, 79, 2024. DOI 10.1007/s00030-024-00966-z
⭐ 3. A. Muñoz and A. Pastor. Local well-posedness in weighted Sobolev spaces for nonlinear dispersive equations with applications to dispersive blow up. Math. Ann. 386. 207–-246, 2023. DOI 10.1007/s00208-022-02396-7
4. A. Muñoz. Problema de Cauchy asociado a la ecuación Kdv sobre espacios de Sobolev con peso. Revista de la Facultad de Ciencias. 8, 83--102, 2019. DOI 10.15446/rev.fac.cienc.v8n2.74794
In press
A. Muñoz. On decay of solutions to some nonlinear dispersive equations. To appear in Analysis and PDE in Latin America, ICMAM 2023-2024.
Preprints
1. Angulo, J. and Muñoz, A. Airy and Schrödinger-type equations on looping-edge graphs. arXiv:2410.11729
⭐ 2. A. Muñoz and A. Pastor. A note on the relation between decay and regularity of solutions to the modified Korteweg-de Vries equation. arXiv:2304.11398
⭐ 3. J. Angulo and A. Muñoz. Self-adjoint extensions for the Laplacian operator on non-compacts graphs and the existence and stability of standing waves for Nonlinear Schrödinger models.
Upcoming conferences and seminars
1. XXIV Congreso Colombiano de Matemáticas. Universidade Tecnológica de Pereira. Colombia. 2-6 Jun.
2. Coloquio area curricular de matemáticas. Universidad Nacional de Colombia Sede Medellín. Colombia. 11 Jun.
3. I Congresso do IMECC. Universidade Estadual de Campinas. Brazil. 7-11 Jul.
4. 2nd Colombian Workshop in Nonlinear Dispersive Equations. Universidad del Valle. Colombia. 10-12 Dez.
Conferences
Airy and Schrödinger-type equations on looping-edge graphs. ICMC Summer Meeting on Differential Equations 2025 Chapter. Talk. São Carlos, SP. Brazil. Feb 2025. Slides.
3. On decay of solutions to some perturbations of the Korteweg-de Vries equation. IV Colóquio de Matemática da Região Sudeste/XXXVI Semana da Matemática. Talk. São José do Rio Preto, SP. Brazil. Oct 2024. Slides.
4. On nonlinear dispersive equations in weighted Sobolev spaces. V Congreso Brasileiro de Jovens pesquisadores em Matemática. V CBJME. Talk. Belo Horizonte, MG. Brazil. July 2024. Slides.
6. On the persistence and polynomial decay of non-linear dispersive equations with applications. XVI Encontro de Pós-Graduandos do IMECC. Talk. Campinas, SP. Brazil. 2022. ~Slides.
7. XVI Encontro de Pós-Graduandos do IMECC. 2022. - Organizer Committee. Campinas, SP. Brazil. 2022.
Seminars
Dynamics of the Schödinger operator on looping-edge graphs with applications to existence and (in)stability of standing waves for the NLS equation. IME-USP seminar "Partial Differential Equations and Applications". 05/20/25. Slides.
2.On nonlinear dispersive equations in weighted Sobolev spaces. IME-USP seminar "Partial Differential Equations and Applications". 03/20/24. Slides.
3. On regularity and decay of solutions to dissipative perturbation of the Korteweg-de Vries equation. UNALMED Coloquio Matemáticas. 08/12/2024. Slides.
4. Una introducción a las ecuaciones dispersivas en grafos métricos. UNALMED Seminario de Análisis. 08/14/2024