Research interests:
* Nonlinear mechanics
* Electronic structure computations on a macroscopic scale
* Multiscale modeling
* Numerics
* Thermodynamics
* Materials Science
Mathematical methods include Partial Differential Equations, Calculus of Variations, Functional Analysis, and Geometric Measure Theory.
Publications - main results:
(*) Generalized Navier-Stokes equations for two-phase flows, Physica D, (1999), PDF, see also this review.
(*) Tucker-tensor algorithm for large-scale quantum mechanical computations (with V. Gavini and P. Motamarri), PDF, Phys.Rev. B (2016)
(*) Analysis of spectral methods for the Kohn-Sham problem (with X. Wang, K. Bhattacharya, M. Ortiz), PDF, Archive for Rat. Mech. Analysis, (2016)
(*) Continuum limits of carbon nanotube arrays (with F. Fraternali, J.R. Raney, A. Amendola and C. Daraio), PDF, Mechanics Research Communications, (2012)
Selected publications:
Due to legal issues, the following publication list often only provides the preprint version for download. This preprint version may differ significantly from the final published article.
(*) Thomas Blesgen, Patrizio Neff
Global existence and uniqueness of weak solutions for a Willis-type model of elasto-dynamics, Mechanics of Materials 213 (2026), 105561. PDF
(*) Patrizio Neff, Nina J. Husemann, Sebastian Holthausen, Franz Gmeineder, Thomas Blesgen
Rate-form equilibrium for an isotropic Cauchy-elastic formulation: Part I: modeling, Journal of Nonlinear Science. Springer. 2026, 36(1), 8. ISSN 0938-8974. eISSN 1432-1467. Available under: doi: 10.1007/s00332-025-10214-y, journal, PDF
(*) T. Blesgen, P. Neff
The Gamma limit of the simple shear problem in nonlinear Cosserat elasticity, arXiv (2023), PDF
(*) T. Blesgen, P. Neff
Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations and occurrence of microstructure, Mathematics and Mechanics of Solids, Vol. 28(7), (2025), journal, PDF
(*) T. Blesgen, A. Amendola, F. Fraternali
On a modified Becker-Döring model for two-phase materials,
Continuum Mechanics and Thermodynamics, Vol. 32, pp. 901-912, (2020), journal, PDF
(*) T. Blesgen, A. Amendola
Mathematical analysis of a solution method for finite-strain holonomic plasticity Cosserat materials, Meccanica, Vol. 55(4), 621-636, (2020), journal, PDF
(*) T. Blesgen
A variational model for dynamic recrystallization based on Cosserat plasticity, Composites Part B, Vol. 115, pp. 236-243, (2017), journal, PDF
(*) P. Motamarri, V. Gavini, T. Blesgen
Tucker-tensor algorithm for large-scale Kohn-Sham density functional theory calculations, Phys. Rev. B, Vol. 93, 125104, (2016), journal, PDF
(*) X. Wang, T. Blesgen, K. Bhattacharya, M. Ortiz
A variational framework for spectral approximations of Kohn-Sham density functional theory, Archive for Rational Mechanics and Analysis, Vol. 221, pp. 1035-1075, (2016), journal, PDF
(*) T. Blesgen
On rotation deformation zones for finite-strain Cosserat plasticity, Acta Mechanica, Vol. 226 (2015), pp. 2421-2434, (2015), journal, PDF
(*) T. Blesgen
Deformation patterning in three-dimensional large-strain Cosserat plasticity, Mechanics Research Communications, Vol. 62, pp. 37-43, (2014), journal, PDF
(*) T. Blesgen, A. Schlömerkemper
On the Allen-Cahn/Cahn-Hilliard system with a geometrically linear elastic energy, Proceedings of the Royal Society of Edinburgh A, Vol. 144, pp. 241-266, (2014), journal, PDF
(*) T. Blesgen, I. Chenchiah
Cahn-Hilliard Equations incorporating Elasticity: Analysis and Comparison to Experiments. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, No. 2005, Vol. 371, 20120341, pp. 1-16, (2014), journal, PDF
(*) T. Blesgen, F. Fraternali, J.R. Raney, A. Amendolo, C. Daraio
Multiscale mass-spring models of carbon nanotube arrays accounting for Mullins-like behavior and permanent deformation, Multiscale Modeling and Simulation, Vol. 11(2), pp. 545-565, (2013), journal, PDF
(*) T. Blesgen
Deformation patterning in Cosserat plasticity, Modelling and Simulation in Materials Science and Engineering, Vol 21(3), pp. 35001-35012, (2013), journal, PDF
(*) T. Blesgen, F. Fraternali, J.R. Raney, A. Amendolo, C. Daraio
Continuum limits of bistable spring models of carbon nanotube arrays accounting for material damage, Mechanics Research Communications, Vol. 45, pp. 58-63, (2012), journal, PDF
(*) T. Blesgen, V. Gavini, V. Khoromskaija
Approximation of the Electron Density of Aluminium Clusters in Tensor-Product Format, Journal of Computational Physics, Vol. 231, pp. 2551-2564, (2011), journal, PDF