Martin brocades

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Martin brocades

Martin Brokate (born January 30, 1953 in Stuttgart ) is a German mathematician and currently full professor for numerical mathematics and control theory at the Technical University of Munich . His fields of work are applied analysis and optimization .

He is a professor at the Department of Mathematics of the Faculty of Construction of the Czech Technical University in Prague .

CV and scientific work

Martin Brokate studied mathematics with a minor in computer science at the Free University of Berlin and received his diploma in 1977. He also received his doctorate in 1980 at the Free University of Berlin under Karl-Heinz Hoffmann on the subject of necessary optimality conditions in deterministic differential games . In 1986 he completed his habilitation at the University of Augsburg. From then on he held professorships at the Universities of Kaiserslautern and Kiel . In 1999 he was appointed full professor for numerical mathematics and control theory at the Technical University of Munich . From 2001 to 2004 he was the spokesman for the Collaborative Research Center 438, from 2003 to 2006 Dean of the Faculty of Mathematics and from 2007 to 2010 Senator of the Technical University of Munich . He is also the spokesman for TopMath, an elite course within the framework of the Bavarian Elite Network .

Contrary to what the name of his chair suggests, Brokate is less concerned with numerics than mainly with applied analysis and optimal control . A major part of his work deals with dynamic systems that contain a memory. This refers to those time-dependent systems in which a variable depends not only on the current value of its input, but also on the values ​​at previous times. Examples of this can be found in population dynamics , a sub-area of biomathematics , if the age of living beings is included. Another example is the mathematical description of hysteresis . Especially at the beginning of his research career, he dealt with questions of optimal control. Brokate is best known for his contributions to the theory of hysteresis operators. Together with Jürgen Sprekels , he is co-author of one of the standard works on this topic. In collaboration with various co-authors (including Jürgen Sprekels, Pavel Krejcí and Augusto Visintin ), he dealt with the characterization and analysis of important hysteresis operators, such as the Spiel, the Prandtl-Ishlinskii and the Preisach operator. He also dealt with questions about the existence and uniqueness of various differential equations in which hysteresis operators occur.

Selected publications

Monographs

  • with J. Sprekels: Hysteresis and Phase Transitions . Springer, New York 1996.
  • with G. Kersting: Measure and Integral . Mathematics Compact series , Birkhäuser, Basel 2009.

Essays

  • Pontryagin's principle for control problems in age-dependent population dynamics . Journal of Mathematical Biology, 23, 1985.
  • Optimal control of age-structured populations, system modeling and optimization . 1986.
  • with J. Sprekels: Existence and Optimal Control of Mechanical Processes with Hysteresis in Viscous Solids . IMA Journal of Applied Mathematics, 43 (3), 1989.
  • with A. Visitnin: Properties of the Preisach Model for Hysteresis . Journal for Pure and Applied Mathematics , 402 (1), 1989.
  • On a characterization of the Preisache model of hysteresis . Rendiconti del Seminario Matematico della Universitá de Padova, 83, 1990.
  • with F. Colonius: Linearizing equations with state-dependent delays . Applied Mathematics and Optimization, 21, 1990.
  • with P. Krejcí: Wellposedness of kinematic hardening models inelastoplasticity . Math. Modeling Numer. Anal. 32, 1998.
  • with A. Pokrovski: Asymptotically stable oscillations in systems with hysteresis nonlinearities . Journal of Differential Equations, 150, 1998.
  • with A. Khludnev: Existence of solutions in the Prandtl-Reuss theory of elastoplastic plates . Adv. Math. Sci. Appl. 10, 2000.
  • with P. Krejcí, H. Schnabel: On uniqueness in evolution quasi variational inequalities . Journal of Convex Analysis, 11, 2004.

Web links

credentials

  1. https://mat.fsv.cvut.cz/eng/staff/detail/1245814
  2. PDF at www.ma.tum.de ( Memento of the original from January 9, 2016 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / www.ma.tum.de
  3. ^ Mathematical Genealogy Project
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