Academic Career and Research Areas
The research of Prof. Matthes (b. 1975) explores the qualitative theory of partial differential equation solutions.
Prof. Matthes studied mathematics at TU Berlin and completed his doctorate there in 2003. He did postdoctoral research at the University of Mainz, the University of Pavia in Italy and TU Vienna. He later returned to Mainz as a visiting professor. In 2010, he was appointed professor at TUM.
Key Publications (all publications)
Matthes D, Osberger H: "A convergent Lagrangian discretization for a nonlinear fourth-order equation". Foundations of Computational Mathematics. 2017; 17(1): 73-126.Abstract
Zinsl J, Matthes D: "Exponential convergence to equilibrium in a coupled gradient flow system modeling chemotaxis". Analysis & PDE. 2015; 8(2): 425-466.Abstract
Bassetti F, Ladelli L, Matthes D: "Central limit theorem for a class of one-dimensional kinetic equations". Probability theory and related fields. 2011; 150(1-2): 77-109.Abstract
Matthes D, McCann RJ, Savaré G: "A family of nonlinear fourth order equations of gradient flow type". Communications in Partial Differential Equations. 2009; 34(11): 1352-1397.Abstract
Matthes D, Toscani G: "On steady distributions of kinetic models of conservative economies". Journal of Statistical Physics. 2008; 130(6): 1087-1117.Abstract