Prof. Dr. Martin Brokate

Technische Universität München
Zentrum Mathematik - M6
Boltzmannstraße 3
85747 Garching

Room: 03.04.054
Phone: +49-89-289-16806
eMail: brokatema.tum.de

Teaching

Vorlesungsskripten (Lecture notes)

Summer Term 2018

• Gewöhnliche Differentialgleichungen
• Funktionentheorie

Winter Term 2017/2018

• Vektoranalysis
• Functional Analysis

Summer Term 2017

• Analysis 2

Winter Term 2016/2017

• Analysis 1

Summer Term 2016

• Partial Differential Equations 2 - Variational Methods
• MA6002-Workshop: Ausgewählte Kapitel aus der Analysis

Summer Term 2015

• Analysis 2
• Modern Methods in Nonlinear Optimization

Winter Term 2014/2015

• Analysis 1

Summer Term 2014

• Konvexe Analysis und Evolutionsprobleme
• Proseminar: Mathematische Elastizitätstheorie

Winter Term 2013/2014

• Functional Analysis
• Seminar: Optimale Steuerung

Summer Term 2013

• Konvexe Analysis und Evolutionsprobleme
• Proseminar: Mathematische Elastizitätstheorie

Winter Term 2012/2013

• Analysis für Informatik
• Seminar: Nonlinear Analysis

Summer Term 2012

• Einführung in die mathematische Modellbildung
• Nichtlineare Probleme (PDE 2)

Winter Term 2011/12

• Partielle Differentialgleichungen

Summer/Autumn 2011

• Analysis 1 & 2 im Speziellen Studienangebot TUM twoinone

Past Terms

Publications

2016

2015

• N. D. Botkin, M. Brokate, E. G. ElBehi-Gornostaeva.
  One-phase flow in porous media with hysteresis
  Physica B: Condensed Matter, Volume 486, Pages 183-186, 2015

2014

• N. D. Botkin, M. Brokate, E. G. ElBehi-Gornostaeva.
  One-phase flow in porous media with hysteresis
  Physica B: Condensed Matter, Volume 486, Pages 183-186, 2015

2013

• N. D. Botkin, M. Brokate, E. G. ElBehi-Gornostaeva.
  One-phase flow in porous media with hysteresis
  Physica B: Condensed Matter, Volume 486, Pages 183-186, 2015

2012

• N. D. Botkin, M. Brokate, E. G. ElBehi-Gornostaeva.
  One-phase flow in porous media with hysteresis
  Physica B: Condensed Matter, Volume 486, Pages 183-186, 2015
• M. Brokate, N. D. Botkin, O. A. Pykhteev
  Numerical simulation for a two-phase porous medium flow problem with rate independent hysteresis
  Physica B: Condensed matter, Vol. 407 (9), 2012 (1336-1339)
• N.D.Botkin, M.Brokate, K.-H.Hoffmann, O.A.Pykhteev, V.L.Turova
  Simulation of Hysteretic Effects in Multi-Phase Flows in Aquifers
  AIP Conference Proceedings 1479, 2012 (1243-1246)

2010

• Sl Kluge, K. Reif, M. Brokate
  Stochastic stability of the extended Kalman filter with intermittent observations 
  IEEE Trans. Automat. Control 55, no. 2 (514-518)
• S. Kluge, M. Brokate, K. Reif
  New complexity results for time-constrained dynamical optimal path problems 
  J. Graph Algorithms Appl. 14, no. 2 (123-147)
• M. Brokate, M. Yu. Rasulova
  The Cauchy problem for BBGKY hierarchy of quantum kinetic equations with Coulomb potential 
  Appl. Math. Inf. Sci. 4, no. 1 (93-105)

2008

• M. Brokate, C. Klüppelberg, R. Kostadinova, R. Maller, R.C. Seydel
  On the distribution tail of an integrated risk model: a numerical approach 
  Insurance Math. Econom. 42, no. 1 (101-106)
• M. Brokate, M. Eleuteri, P. Krejci
  On a model for electromagnetic processes inside and outside a ferromagnetic body 
  Math. Methods Appl. Sci. 31, no. 13 (1545-1567)

2006

• M. Brokate, D. Rachinskii
  Global stability of the Armstrong-Frederick model with periodic biaxial loading
  Nonlinear Differ. Equ. Appl. 13 (2006) (385 - 411)
• Martin Brokate, O. Klein, P. Krejci
  Outward pointing properties for Preisach operators 
  Physica B 372 (2006), (5 - 8)
• M. Brokate, A. Pokrovskii, D. Rachinskii
  Asymptotic stability of continuum sets of periodic solutions to systems with hysteresis 
  J. Math. Anal. Appl. 319, no. 1 (94-109)

2005

• Jan Christoph Wehrstedt, H. Deppe, H.H. Horch, Ch. Pautke, M. Brokate, F. Kneissl, Th. Miethke, E. Steinhauser
  Entwicklung bakteriendichter Fügestellen für die zahnärztliche Implantologie 
  Zeitschrift für Zahnärztliche Implantologie (164-169)
• Martin Brokate, C. Carstensen, J. Valdman
  A quasi-static boundary value problem in multi-surface elastoplasticity: Part 2 - Numerical solution 
  Math. Meth. Appl. Sci. 28 (2005), (881 - 901)
• Martin Brokate, D. Rachinskii
  On global stability of the scalar Chaboche models 
  Nonlinear Analysis: Real World Applications 6 (2005), (67 - 82)

2004

• Martin Brokate, C. Carstensen, J. Valdman
  A quasi-static boundary value problem in multi-surface elastoplasticity: Part 1 - Analysis 
  Math. Meth. Appl. Sci. 27 (2004), (1697 - 1710)
• Martin Brokate, A. Khludnev
  On crack propagation shapes in elastic bodies 
  ZAMP 55 (2004), (318 - 329)
• Martin Brokate, P. Krejci, H. Schnabel
  On uniqueness in evolution quasivariational inequalities 
  J. Convex Analysis 11 (2004), (111 - 130)

Other years

• Martin Brokate, P. Krejci
  Duality in the space of regulated functions and the play operator
  Math. Z. 245 (2003),, 2003 (667 - 688)
• A. H. Siddiqi, P. Manchanda, M. Brokate
  On some recent developments concerning Moreau's sweeping process. Trends in industrial and applied mathematics
  Appl. Optim., 72, 2001 (339-354)
• Martin Brokate, A. Khludnev
  Existence of solutions in the Prandtl-Reuss theory of elastoplastic plates
  Adv. Math. Sci. Appl. 10 (2000),, 2000 (399 - 415)
• Martin Brokate, I. Collings, A. Pokrovskii, F. Stagnitti
  Asymptotically stable oscillations in systems with hysteresis nonlinearities
  Z. Anal. Anw. 19 (2000),, 2000 (469 - 487)