• Convective Turing bifurcation with conservation laws, and applications to modern biomorphology

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    Coloquio de Matemáticas Aplicadas Resumen Modem biomorphology models such as Murray-Oster and Scianna-Bell-Preziosi involve patter formation in systems with mechanical/hydrodynamical effects taking the form of convection-reaction-diffusion models with conservation laws. Here, extending previous work of Matthews-Cox and Häcker-Schneider-Zimmerman in pattern formation with conservation laws, and of Eckhaus, Mielke, and Schneider on stability of Turing patterns […]

  • Mini-Course: Asymptotic Methods in Mechanics

    Salón 204, Edificio Anexo del IIMAS

    Overview An intensive introduction to asymptotic analysis and perturbation techniques for solving mechanical, physical, and engineering problems with small parameters. Includes 15 lectures + 15 tutorials covering methods such as: Regular & singular perturbations Multiple scales & averaging Matched asymptotic expansions Homogenization Topological derivative methods Key Applications Mechanical processes with discontinuities, localization, and boundary layers […]

  • Un enfoque conceptual a los modelos matemáticos

    Auditorio del IIMAS Circuito Escolar S/N, Ciudad Universitaria, Ciudad de México, Mexico

    Coloquio IIMAS Resumen Esta ponencia invita a reflexionar sobre la relación entre ciertas teorías científicas y sus modelos matemáticos correspondientes. Se presentarán de forma básica algunos modelos matemáticos que son fundamentales para nuestra comprensión de la realidad física, estableciendo comparaciones con otros modelos frecuentemente utilizados en la ciencia. Asimismo, se discutirán diversas técnicas matemáticas que […]