Miguel Escobedo Martínez Professor of Mathematical Analysis Departamento de Matemáticas Facultad de Ciencias y Tecnología Universidad del País Vasco Barrio Sarriena s/n 48940 Lejona (Vizcaya), Spain e-mail: miguel.escobedo"at"ehu.es Phone: + 34 94 601 2649 Fax: + 34 94 601 2649 External Scientific Member Basque Center of Applied Mathematics (BCAM)                                                 Go to:   Some recent publications and preprints   Conferences - Research Projects   Master

Research interests Nonlinear Partial Differential Equations Kinetic Equations Aggregation and Fragmentation Models

Some publications and preprints

• Maximization entropy problem for quantum relativistic particles
  Bull. S.M.F. Vol. 133 (2005); pp. 87-120.
  Miguel Escobedo, Stéphane Mischler and Manuel A. Valle.
  
  
• Dust and self similarity for the Smoluchowski coagulation equation.
  Annales de l 'IHP. Vol. 23 (2006); pp. 331-362.
  Miguel Escobedo and Stéphane Mischler.
  
  
• On the fundamental solution of a linearized Uehling-Uhlenbeck equation
  Arch. Rat. Mech. Anal. Vol. 186, (2007), 309--349.
  Miguel Escobedo, Stéphane Mischler and Juan J. L. Velázquez.
  
  
• Singular solutions to the Uehling-Uhlenbeck equation
  Proc. Roy. Soc. Edinburgh, Vol. 138A, (2008), 67--107.
  Miguel Escobedo, Stéphane Mischler and Juan J. L. Velázquez.
  
  
• A derivation of a new set of equations at the onset of the Bose-Einstein condensation.
  J. of Physics A: Mathematics and Theoretical. Vol 41, (2008).
  Miguel Escobedo and Juan J. L. Velázquez.
  
  
• Instability of Raleigh-Jeans spectrum in weak wave turbulence theory.
  Phys. Rev. E. Vol. 79, 061122-1, (2009).
  Miguel Escobedo and M. A. Valle .
  
  
• Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model.
  J. Math. Analysis and Appl. Vol 361, (2010), 533--542.
  A. Blanchet, J. Dolbeault, Miguel Escobedo and J. Fernández.
  
  
• On the fundamental solution of a linearized homogeneous coagulation equation.
  Comm. Math. Phys. Vol. 297, (2010), 759--816.
  Miguel Escobedo and J. J. L. Velázquez
  
  
• Scaling for a ballistic aggregation equation.
  J. Stat. Phys. Vol. 141, (2010), 422-458.
  Miguel Escobedo and Stéphane Mischler
  
  
• Improved intermediate asymptotics for the heat equation.
  Applied Mathematics Letters. Vol. 24, (2011), 76--81.
  J. P. Barthier, A. Blanchet, J. Dolbeault and Miguel Escobedo .
  
  
• Analytical approach to relaxation dynamics of condensed Bose gases.
  Annals of Physics. Vol. 326, (2011), 808--827.
  Miguel Escobedo, F. Pezzotti and M. A. Valle .
  
  
• Local well posedness for a linear coagulation equation.
  Transactions of the A.M.S. To appear.
  Miguel Escobedo, and J. J. L. Velázquez.
  
  
• Finite time blow-up and condensation for the bosonic Nordheim equation
  Inventiones Mathematicae 200 (2015) 761-847.
  Miguel Escobedo and Juan J. L. Velázquez.
  
  
• On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons
  Commun. Math. Phys. 330 (2014) 331-365.
  Miguel Escobedo and Juan J. L. Velázquez.
  
  

Research Projects

• Partial Differential Equations: Analysis, Control, Numerics and Applications. MTM2008-03541
  

Conferences

• Here you may find slides of some conferences.
  

Links:

• Asociación Española de Perros de Asistencia, AEPA
• Congreso en Honor de Mikel Bilbao
• Industrial Design
• Essaye un peu pour voir...
• M'man, P'chel y m'a tiré les f'cheux! (je t'ai trouvé, nananèreu!)

---

web-sm, e-mail: miguel.escobedo@ehu.es
Last updated: 08 Oct. 2006.