Thomas Blesgen

Max Planck Institute for Mathematics in the Sciences
Inselstraße 22-26
D-04103 Leipzig
Germany

Phone: +49 (0) 341 9959 804
Fax: +49 (0) 341 9959 658
Office: G 02

e-mail: Thomas.Blesgen (a) mis.mpg.de

Research interests

  1. Nonlinear partial differential equations and Calculus of variations
  2. Fluid dynamics
  3. Materials science
  4. Numerics
  5. Quantum mechanics

Short vita

  1. Study of Mathematics at the Wilhelms University, Bonn, Germany
  2. Ph.D. in Mathematics in Bonn (1998)
  3. 1998-2004 Assistant at the Institute of Applied Mathematics, University of Leipzig
  4. Habilitation thesis, University of Leipzig (2005)
  5. Since April 2004 research associate at the Max-Planck-Institute for Mathematics in the Sciences, Leipzig
  6. October 2006-September 2007 Postdoctoral Scholar in the Graduate Aeronautical Laboratories at the California Institute of Technology

Selected / Recent publications

  1. A Generalization of the Navier-Stokes Equations to Two-Phase Flows, Journal of Physics D (Applied Physics) 32(1999), 1119-1123
  2. Modeling and Numerical Simulation of Diffusion Induced Segregation (with S. Luckhaus and K. Bente), Crystal Research and Technology 37(2002), 570-580
  3. An Improved Model for Diffusion Induced Segregation with Elasticity, Crystal Research and Technology 37(2002), 1200-1207
  4. Existence and Uniqueness for a Model Describing Chalcopyrite Disease within Sphalerite, Communications in Partial Differential Equations 29(2004), 523-546, DOI: 10.1081/PDE-120030407
  5. A Qualitative and Quantitative Mathematical Analysis of Chalcopyrite Disease within Sphalerite, Habilitation thesis, University of Leipzig 2005
  6. A Sharp Interface Model for Phase Transitions in Crystals with Linear Elasticity (with U. Weikard), Mathematical Methods in the Applied Sciences 28(2005), 59-76
  7. Diffusion Induced Segregation in the Case of the Ternary System Sphalerite, Chalcopyrite and Cubanite (with S. Luckhaus and K. Bente), Crystal Research and Technology 39(2004), 969-979
  8. Two-Phase Structures as Singular Limit of a One-dimensional Discrete Model, CUBO Math. Journal Vol. 7 No. 2(2005), 69-79
  9. A Revised Model for Diffusion Induced Segregation Processes, Journal of Mathematical Physics (2005), published online DOI 10.1063/1.1840292
  10. On the competition of elastic energy and surface energy in discrete numerical schemes, Advances in Computational Mathematics Vol. 27(2007), 179-194, DOI 10.1007/s10444-007-9028-5
  11. On the Multicomponent Allen-Cahn equation for elastically stressed solids (with U. Weikard) Electronic Journal of Differential Equations No.89 2005 (2005), 1-17
  12. A general theory for elastic phase transitions in crystals (with S. Arnrich and S. Luckhaus), Preprint No. 147 SPP 1095 (2004, improved 2006)
  13. Numerical Simulations of Phase Transitions in Crystals and a Global Free Energy Minimisation Algorithm (with U. Weikard), Preprint
  14. On the Role of Lattice Defects close to Phase Transitions (with S. Luckhaus), Mathematical Methods in the Applied Sciences, Vol. 29 2006, 525-536, DOI 10.1002/mma.685
  15. A Multiscale Approach for Quantitative Simulations of Diffusion Induced Segregation, Modelling Simul. Mater. Sci. Eng. No. 14 (2006), 389-408
  16. On Diffusion Induced Segregation in time-dependent domains, SIAM Journal on Mathematical Analysis, Vol. 39 No. 4 (2007), 1260-1294, DOI 10.1137/060652336
  17. On Reconstitutive Phase Transitions and the Jump of the Chemical Potential, Analysis (International Mathematical Journal of Analysis and its Applications), Vol. 25 (2008), 125-148, DOI 10.1524/anly.2008.0905
  18. A plasticity theory of solids with a macroscopic phase parameter, (with I.V. Chenchiah), submitted to Continuum Mechanics and Thermodynamics, August 2008
  19. A theory for elastic properties of single crystals with microstructure and its application to diffusion induced segregation, Crystal Research and Technology, Vol. 43(9), 905-913, DOI 10.1002/crat.200800129, 2008
  20. A generalized Cahn-Hilliard equation with a relaxed nonlinear elastic energy, (with I.V. Chenchiah), submitted to Interfaces and Free Boundaries, 2008
  21. Towards diffuse interface models with a nonlinear polycrystalline elastic energy, (with A. Schloemerkemper), appears in 'Composite Laminates: Properties, Performance and Applications, Nova Publishing, ISBN 978-1-60741-620-3
  22. Multiphase mass-spring models for carbon nanotube arrays accounting for strain localization and hysteresis, (with A. Amendolo, C. Daraio, F. Fraternali), submitted to Journal Mech. Phys. Solids, 2009
  23. On estimates of decay rates for perturbed Schroedinger and Helmholtz type operators, (with M. Ortiz), Preprint, 2009
  24. On the maximum principle for locally vanishing elliptic operators, (with A. Schloemerkemper), submitted to Proc. American Math. Society 2009

Book chapters

  1. A general theory for elastic phase transitions in crystals, (with S. Arnrich, S. Luckhaus), in Analysis, Modeling and Simulation of Multiscale Problems, Springer 2006
  2. Discrete free energy functionals for elastic materials with phase change, (with S. Luckhaus, L. Mugnai) in Analysis, Modeling and Simulation of Multiscale Problems, Springer 2006

Further information

  1. Project Leader in the DFG Priority Program 1095 Analysis, Modeling and Simulation of Multiscale Problems
  2. Project Leader in the DFG Priority Program 1056 Structure Gradients in Crystals

Impressum
Last updated: 09/10/2007