Miguel Escobedo MartínezView profile
Professor
Miguel Escobedo Martínez is a Professor of Mathematical Analysis in the Department of Mathematics at the Faculty of Science and Technology, University of the Basque Country. He also serves as an External Scientific Member at the Basque Center of Applied Mathematics (BCAM). Research Interests Professor Escobedo specializes in Nonlinear Partial Differential Equations , with particular focus on Kinetic Equations and Aggregation and Fragmentation Models . His research explores the mathematical foundations of physical phenomena, particularly in quantum systems and particle dynamics. His work often involves rigorous analysis of existence, uniqueness, and asymptotic behavior of solutions to complex nonlinear systems. Research Trends Professor Escobedo's publications demonstrate a consistent focus on nonlinear PDEs with applications to physical systems, particularly quantum kinetic equations and coagulation-fragmentation models. His work spans from fundamental mathematical analysis to applications in quantum physics and statistical mechanics. A significant portion of his research centers on the mathematical theory of Bose-Einstein condensation and related quantum phenomena, as well as the analysis of coagulation equations that model particle aggregation processes. Projects and Affiliations Principal Investigator for research project "Partial Differential Equations: Analysis, Control, Numerics and Applications" (MTM2008-03541) External Scientific Member at Basque Center of Applied Mathematics (BCAM) Conference Participation Professor Escobedo has presented his work at various international conferences, including SIAM conferences on Nonlinear Waves and Material Sciences, where he has discussed topics such as singular solutions for the Uehling-Uhlenbeck equation and self-similar solutions for coagulation and fragmentation equations.

