Stefan Müller (mathematician)
Encyclopedia
Stefan Müller is a German mathematician
and currently a professor at the University of Bonn. He has been one of the founding directors of the Max Planck Institute for Mathematics in the Sciences
in 1996 and was acting there until 2008.
He his well known for his research in analysis
and the calculus of variations
. He is interested in the application of mathematical methods in the theory continuum mechanics
, especially material science and problems involving microstructures.
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
and currently a professor at the University of Bonn. He has been one of the founding directors of the Max Planck Institute for Mathematics in the Sciences
Max Planck Institute for Mathematics in the Sciences
The Max Planck Institute for Mathematics in the Sciences in Leipzig was founded on March 1, 1996.At the institute scientists work on projects which apply mathematics in various areas of natural sciences, in particular physics, biology, chemistry and material science.Main research areas are*...
in 1996 and was acting there until 2008.
He his well known for his research in analysis
Analysis
Analysis is the process of breaking a complex topic or substance into smaller parts to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle , though analysis as a formal concept is a relatively recent development.The word is...
and the calculus of variations
Calculus of variations
Calculus of variations is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite integrals involving unknown...
. He is interested in the application of mathematical methods in the theory continuum mechanics
Continuum mechanics
Continuum mechanics is a branch of mechanics that deals with the analysis of the kinematics and the mechanical behavior of materials modelled as a continuous mass rather than as discrete particles...
, especially material science and problems involving microstructures.
Awards
- 1992 - EMS Prize
- 1993 – Max-Planck-Forschungspreis, together Vladimir SverákVladimír ŠverákVladimír Šverák is a Czech mathematician. Since 1990 he is a professor at the University of Minnesota. Šverák made notable contributions to calculus of variations....
(Charles University in PragueCharles University in PragueCharles University in Prague is the oldest and largest university in the Czech Republic. Founded in 1348, it was the first university in Central Europe and is also considered the earliest German university...
) - 1999 – CICIAM Collatz Prize ICIAM Edinburgh
- 2000 – Gottfried Wilhelm Leibniz PrizeGottfried Wilhelm Leibniz PrizeThe Gottfried Wilhelm Leibniz Prize is a research prize awarded by the Deutsche Forschungsgemeinschaft every year since 1985 to scientists working in Germany. This highest German research prize consists of a research grant of 2.5 million euro, to be used within seven years...
- 2006 – Keith MedalKeith MedalThe Keith Medal is a prize awarded by the Royal Society of Edinburgh, Scotland's national academy, for a scientific paper published in the society's scientific journals, preference being given to a paper containing a discovery, either in mathematics or earth sciences.The medal was inaugurated in...
of the Royal Society of EdinburghRoyal Society of EdinburghThe Royal Society of Edinburgh is Scotland's national academy of science and letters. It is a registered charity, operating on a wholly independent and non-party-political basis and providing public benefit throughout Scotland...
Publications
- Microstructures, phase transitions and geometry. In: Balog (Hrsg.): Proceedings European Congress of Mathematicians. volume 2, Birkhäuser 1998, S.92.
- with Sverak: Unexpected solutions of first and second order partial differential equations. International Congress of Mathematicians, 1998, Bd.II, S.691, Documenta Mathematica.
- with Bethuel, Huisken, Steffen: Variational models for microstructure and phase transitions. In: Hildebrandt, Struwe: Calculus of Variations and geometric evolution problems. Lecture Notes in Mathematics, volume 1713, 1999, S.85-210.
- Mathematik und intelligente Materialien. In: Aigner, Behrends (Hrsg.): Alles Mathematik. Vieweg 2002.
- Mathematik ist überall. DMV-Mitteilungen, Januar 1998.
- Mit Conti, DeSimone, Dolzmann, F. Otto: Multiscale modeling of materials – the role of analysis. In: Kirkilionis, Krömker, Rannacher, Tomi (Herausgeber): Trends in Nonlinear Analysis. Springer 2003, S.375-408.
- G. Friesecke, R. D. James, S. Müller: A hierarchy of plate models derived from nonlinear elasticity by Gamma-convergence. Arch. Rat. Mech. Anal., volume 180, 2006, S. 183-236.
- C. De Lellis, S. Müller: Sharp rigidity estimates for nearly umbilical surfaces. J. Differential Geometry volume 69, 2005, S. 75-110.
- S. Müller, V. Verk: Convex integration for Lipschitz mappings and counterexamples to regularity. Ann. Math., volume 157, 2003, 715-742.
- G. Friesecke, R. D. James, S. Müller: A theorem on geometric rigidity and the derivation of nonlinear plate theory from three dimensional elasticity. Comm. Pure Appl. Math., volume 55, 2002, 1461-1506.
- A. De Simone, R. V. Kohn, S. Müller, F. Otto: A reduced theory for thin-film micromagnetics. Comm. Pure Appl. Math., volume 55, 2002, 1408-1460.