LIST OF PUBLISHED ARTICLES
⭐ Among my best four research products.
LIST OF PUBLISHED ARTICLES
⭐ Among my best four research products.
A. Muñoz. On decay of solutions to some nonlinear dispersive equations. Analysis and PDE in Latin America, ICMAM 2023-2024. Chapter, 2026. DOI: 10.1007/978-3-031-99557-6_2
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
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
⭐ 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
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
⭐ J. Angulo and A. Muñoz. Nonlinear Schr\"odinger Equations on looping-edge graphs with $\delta'$-type interactions. To appear in Journal of Evolution Equations. 2026 arXiv:2507.10821
Preprints
⭐ J. Angulo and A. Muñoz. Koreweg-de Vries-type equation on looping-edge graphs with applications.
⭐ J. Angulo and A. Muñoz. Instability of discontinuous standing waves for the nonlinear Schr\"odinger Equation on star graphs.
J. Angulo and A. Muñoz. Existence and (in)stability of standing waves for the nonlinear Schr\"odinger Equation on looping-edge graphs with $\delta'$-type interactions. arXiv:2601.00158.
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
Angulo, J. and Muñoz, A. Airy and Schrödinger-type equations on looping-edge graphs. arXiv:2410.11729
Upcoming conferences and seminars
VI Congreso Brasileiro de Jovens pesquisadores em Matemática. V CBJME. Teresina, PI. Brazil. 18-21 May 2026.
Academic Conferences
A note on polinomial decay and regularity of solutions to the two dimensional modified Zakharov-Kuznetsov equation. ICMC Summer Meeting on Differential Equations 2026 Chapter. São Carlos, SP. Brazil. Feb 2026. Communication. Slides.
Nonlinear Schr ̈odinger Equations on Looping-Edge Graphs with δ′ -Type Interactions. 2nd Colombian Workshop in Nonlinear Dispersive Equations. Universidad del Valle. Colombia. 10-12 Dez. Semiplenary. Slides.
Dynamics of Schrödinger operator on looping-edge graphs. Firts Joint Meeting Brazil-México in Mathematics. Communication. Fortaleza, CE. Brazil. Sep 2025. Slides.
Dynamics of Schrödinger operator on looping-edge graphs with applications to existence and instability of standing waves for the NLS equation. I Congresso do IMECC. Communication. Campinas, SP. Brazil. Jul 2025. Slides.
Airy and Schrödinger operator on looping-edge graphs.. XXIV Congreso Colombiano de Matemáticas. Communication. Pereira, Colombia. Jun 2025. Slides.
Airy and Schrödinger-type equations on looping-edge graphs. ICMC Summer Meeting on Differential Equations 2025 Chapter. Communication. São Carlos, SP. Brazil. Feb 2025. Slides.
On decay of solutions to some perturbations of the Korteweg-de Vries equation. IV Colóquio de Matemática da Região Sudeste/XXXVI Semana da Matemática. Communication. São José do Rio Preto, SP. Brazil. Oct 2024. Slides.
On nonlinear dispersive equations in weighted Sobolev spaces. V Congreso Brasileiro de Jovens pesquisadores em Matemática. V CBJME. Communication. Belo Horizonte, MG. Brazil. July 2024. Slides.
On the persistence and polynomial decay of non-linear dispersive equations with applications. XVI Encontro de Pós-Graduandos do IMECC. Communication. Campinas, SP. Brazil. 2022. ~Slides.
XVI Encontro de Pós-Graduandos do IMECC. 2022. - Organizer Committee. Campinas, SP. Brazil. 2022.
Seminars
Dynamics of the Schr¨odinger operator on looping-edge graphs with applications to existence and (in)stability of standing waves for the NLS equation. Coloquio area curricular de matemáticas. Universidad Nacional de Colombia Sede Medellín. Colombia. 11/06/2025. Slides.
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.
On nonlinear dispersive equations in weighted Sobolev spaces. IME-USP seminar "Partial Differential Equations and Applications". 03/20/24. Slides.
On regularity and decay of solutions to dissipative perturbation of the Korteweg-de Vries equation. UNALMED Coloquio Matemáticas. 08/12/2024. Slides.
Una introducción a las ecuaciones dispersivas en grafos métricos. UNALMED Seminario de Análisis. 08/14/2024