Alexander Mielke
Alexander Mielke (* 1958 in Malmsheim ) is a German mathematician who deals with nonlinear partial differential equations. He is Professor of Applied Analysis at the Humboldt University in Berlin and head of the Partial Differential Equations Research Group at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) in Berlin. Alexander Mielke is treasurer of the International Mathematicians Association (IMU) and deputy director of WIAS. He is the author of numerous publications and monographs and has supervised more than 50 theses (diplomas, master's and bachelor's theses, doctorates, habilitation theses).
Life
Alexander Mielke studied mathematics and physics at the University of Stuttgart (Diploma 1983) and received his doctorate in 1984 with the topic of stationary solutions of the Euler equation in channels of variable depth under Klaus Kirchgässner . He then worked as a research assistant at the University of Stuttgart. From 1986 to 1987 he was a scientist at Cornell University in Ithaca (New York). In 1990 he completed his habilitation on the topic of Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variation problems at the University of Stuttgart. In 1992 he was appointed professor at the University of Hanover at the Institute for Applied Mathematics. This was followed by appointments to the University of Stuttgart, the Institute for Analysis, Dynamics and Modeling in 1999 and the Humboldt University in Berlin in 2004. Since then, Alexander Mielke has been research group leader in the Partial Differential Equations group at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) in Berlin. Since 2005 he has been deputy director of the WIAS and since 2011 treasurer of the International Mathematicians Association (IMU), whose seat is the WIAS.
Work and awards
Alexander Mielke works in the field of nonlinear partial differential equations. He develops variational methods for problems in continuum mechanics and materials science , among others. a. for the description of nonlinear elasticity, plasticity and cracks in materials and is known for his work on rate-independent systems. He also deals with multi-scale models and dimensional reduction methods for Hamiltonian and dissipative dynamic systems. These are used in the investigation of amplitude equations such as the complex Ginzburg-Landau equation .
In 1989 he received the Richard von Mises Prize from the Society for Applied Mathematics and Mechanics (GAMM) and the Heinz Maier Leibnitz Prize from the DFG .
Fonts
- Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variational problems. Lecture Notes in Mathematics Vol. 1489, Springer-Verlag 1991.
- with K. Kirchgässner (editor). Structure and Dynamics of Nonlinear Waves in Fluids. World Scientific Publishing Co. Inc., 1995.
- with G. Dangelmayr, B. Fiedler and K. Kirchgässner (editors). Dynamics of Nonlinear Waves in Dissipative Systems: Reduction, Bifucation and Stability. Longman, 1996.
- with R. Helmig and B. Wohlmuth (editors). Multifield Problems in Fluid and Solid Mechanics, Springer-Verlag 2006.
- with T. Roubíček. Rate-Independent Systems: Theory and Application. Applied Mathematical Sciences, Springer-Verlag 2015.
Web links
Individual evidence
| personal data | |
|---|---|
| SURNAME | Mielke, Alexander |
| BRIEF DESCRIPTION | German mathematician |
| DATE OF BIRTH | 1958 |
| PLACE OF BIRTH | Malmsheim |