There is not much here at the moment, but do not hesitate to contact me if you do not find what you are looking for. Nowadays, I am Assistant Professor at
Universidade Federal de Santa Catarina (Departamento de Matemática) Campus Universitario Trindade 88040-900 Florianópolis-Santa Catarina, Brasil Office: sala 114 Research Interests: Nonlinear Partial Differential Equations, in particular: stability of coherent states, integrability. Mathematical Biology, Chemical Reaction Networks
Publications22-M.A. Alejo, L. Fanelli and C. Muñoz, Stability and instability of breathers in the U(1) Sasa-Satusuma and Nonlinear Schrödinger models, preprint, arXiv:1901.10381 21-M.A. Alejo and E. Cardoso, Dynamics of breathers in the Gardner hierarchy: universality of the variational characterization, preprint, arXiv:1901.10409 19-M.A. Alejo and J.L. López, On global solutions to some non-Markovian quantum kinetic models of Fokker-Planck type, submitted, arXiv:1811.12460 18-M.A. Alejo, L. Fanelli, and C. Muñoz, The Akhmediev Breather is unstable, to appear in SPJM (Proceed. Third Workshop on Nonlinear Dispersive Equations 2017 (Campinas, Brazil)), arXiv:1810.12543 17-M.A. Alejo, M. Cortez, C. Kwak, and C. Muñoz, On the dynamics of zero-speed solutions for Camassa-Holm type equations, IMRN (International Mathematics Research Notices), DOI: 10.1093/imrn/rnz038, arxiv: 1810.09594 16-M.A. Alejo and E. Cardoso, On the ill-posedness of the 5th-order Gardner equation, submitted to SPJM arXiv:1810.10434 15-M.A. Alejo and E. Cardoso, Nonlinear Stability of higher order mKdV breathers, submitted, arxiv: 1804.02285 14-M.A. Alejo and C. Muñoz, Almost sharp nonlinear scattering in one-dimensional Born-Infeld equations arising in nonlinear Electrodynamics. Proceedings of the AMS, Vol.146, Num. 5, May 2018, pp. 2225–2237, http://www.ams.org/journals/proc/0000-000-00/S0002-9939-2018 13-M.A. Alejo, Nonlinear stability of Gardner breathers. Journal of Differential Equations Vol. 264/2, (2018) pp. 1192-1230. arxiv: 1705.04206 https://authors.elsevier.com/a/1W0w0_W4cMoNO 12-M.A. Alejo, C. Muñoz and J.M. Palacios, On the variational structure of breather solutions II: periodic mKdV equation,
Electron. J. Differential Equations, Vol. 2017 (2017), No. 56, pp. 1-26. ISSN: 1072-6691. URL: http://ejde.math.txstate.edu/Volumes/2017/56/alejo.pdf or http://ejde.math.unt.edu
10-M.A. Alejo and C. Muñoz, Dynamics of complex-valued modified KdV solitons with applications to the stability of breathers. Analysis & PDE 8-3 (2015) 629--674. DOI 10.2140/apde.2015.8.629 8-M.A. Alejo and C. Muñoz, Nonlinear stability of mKdV breathers. Communications in Mathematical Physics, \textbf{324}, 1, (2013), 233--262. http://link.springer.com/article/10.1007/s00220-013-1792-0 7-M.A. Alejo, C.Gorria and L.Vega, Discrete conservation laws and the convergence of long time simulations of the mKdV equation. J. Computational Phys. 235 (2013) 274--285. DOI: 10.1016/j.jcp.2012.10.044 6-M.A. Alejo, C. Muñoz and L. Vega, The Gardner equation and the $L^2$-stability of the N-Soliton solution of the Korteweg-de Vries equation. Transactions of the American Mathematical Society vol. 365 (2013), no. 1, 195–212. http://www.ams.org/journals/tran/0000-000-00/S0002-9947-2012-05548-6/S0002-9947-2012-05548-6.pdf 5-M.A. Alejo and C. Muñoz, On the nonlinear stability of mKdV breathers. J. Phys. A: Math. Theor. 45 (2012), 432001, http://iopscience.iop.org/1751-8121/45/43/432001/ 4-M.A. Alejo, On the ill-posedness of the Gardner equation. Journal of Mathematical Analysis and Applications (2012),Volume 396, Issue 1, 256–260, http://dx.doi.org/10.1016/j.jmaa.2012.06.018 3-M.A. Alejo, Geometric breathers of the mKdV equation. Acta Applicandae Mathematicae: vol.121 Issue 1 (2012), p.137--155, http://www.springerlink.com/content/h7831738164j3757/fulltext.pdf 2-M.A. Alejo, Well posedness and stability results for solitons of the Gardner equation. NoDEA/Nonlinear Differential Equations and Applications, Volume 19, Number 4 (2012), 503--520, DOI: 10.1007/s00030-011-0140-3 1-M.A. Alejo, Focusing mKdV breather solutions with non vanishing boundary conditions by the Inverse Scattering Method. Journal of Nonlinear Mathematical Physics 19 no.1 (2012) 1--17. http://www.worldscientific.com/doi/pdf/10.1142/S140292511250009X Articles under consideration Shortly, more. Stay tuned for more updates. PhD Thesis: The geometric modified Korteweg-de Vries(mKdV) equation. Thesis Advisor: Prof.Dr. Luis Vega González. Mark: Sobresaliente cum laude(highest mark). Extraordinary doctorate award 2010. Defended: 25/10/2010 Academic achievements Nov.~2005 - Oct.~2010 Ph.D. Mathematics, University of the Basque Country-EHU/Spain. 2004 - 2005 Ph.D. program with quality award Fisymat, University of Granada/Spain. 2000 - 2004 Degree on Mathematics, Universidad de Murcia/Spain. 1995 - 2002 Degree on Physics(Theoretical), Universidad Autónoma de Madrid/Spain. Grants and contracts March 01/2017 - March 01/2020 Bolsa de Produtividade em Pesquisa/CNPq Oct 01/2013.-Feb 28/2015 Iberoamericano Visiting Professor fellowship at IMPA(Instituto Nacional de Matemática Pura e Aplicada)/Rio de Janeiro/Brazil. May 10.-Sept 30/2013 Research Contract as Postdoctoral member at the Department of Mathematics, University of the Basque Country-EHU/Spain. May.2012- 30/04/2013 Postdoctoral fellowship at the Department of Mathematical Sciences, University of Copenhagen/Denmark (1yr ). Sept.2011- April.2012 Postdoctoral fellowship at the Theoretical Biology Department, University of Bonn/Germany (8 months). Jun.-Aug.2011 Research Contract as Postdoctoral member at the Department of Mathematics, University of the Basque Country-EHU/Spain. Feb.-Jun.2011Teaching Contract as Substituting professor at the Department of Theoretical Physics, University of the Basque Country-EHU/Spain. Mar.-Aug.2010 Research contract, University of the Basque Country-EHU/Spain (6 months). Nov.2005 - Oct.2009 FPI fellowship supported by the Spanish Ministry of Education and Science, Department of Mathematics, University of the Basque Country-EHU/Spain. Advisor: Luis Vega González. Videos - Simulaciones Periodic mKdV Breather with nonzero mean: https://www.youtube.com/channel/UCMb8GUTUzKsTMt3vkMREOQg Periodic and Aperiodic Gardner Breather with nonzero mean https://www.youtube.com/watch?v=NmmxCi-NOcM Personal Links, Interests and Curiosities CV |