Zentrum Mathematik
Research Unit M6 - Mathematical Modelling
Prof. Dr. Martin Brokate & Prof. Dr. Dr. h.c. mult. Karl-Heinz Hoffmann


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Prof. Dr. Dr.h.c.mult Karl-Heinz Hoffmann
Chair of Applied Mathematics
Professors emeritus


Phone extension: +49 (0)89 289 16802
Email: hoffmann (at) ma.tum.de
Room No.: 03.04.058

Lebenslauf

Scientific Interests and main focuses:

Further information:

Publications / Preprints:

2008
  • K-H. Hoffmann, T. G. Amler, N. D. Botkin, A. M. Meirmanov, V. N. Starovoitov
    Transport Equation with Boundary Conditions of Hysteresis Type.
    Accepted for publication in: Mathematical Methods in the Applied Sciences
  • K-H. Hoffmann, N. D. Botkin
    Optimal Control in Cryopreservation of Cells and Tissues.
    Accepted for publication in: Advances in Mathematical Sciences and Applications
  • K-H. Hoffmann, T. G. Amler, N. D. Botkin, V. L. Turova
    Propagation and Deposition of Air Driven Nanoparticles in Complex Channeled Structures.
    Poster presentation. Abstracts of the conference “Mathematics in Biosciences”, Helmholtz Zentrum München (p. 32)
  • K-H. Hoffmann, N. D. Botkin, O. A. Pykhteev
    Optimal Control in Cryopreservation of Cells and Tissues.
    Poster presentation. Abstracts of the conference “Mathematics in Biosciences”, Helmholtz Zentrum München (p. 26)
  • K-H. Hoffmann, N. D. Botkin, V. L. Turova
    Optimization of Cooling Protocols in Cryopreservation of Living Tissues.
    In: Preprints of the International Conference “Differential Equations and Topology” (254-255)
  • K-H. Hoffmann, N. D. Botkin
    Optimal Control in Cryopreservation of Cells and Tissues.
    Priority programm 1253
  • K-H. Hoffmann, N. D. Botkin, A. Frackowiak, A. M. Cialkowski
    L2 and H1/2 Fitting Algorithms for Solving Inverse Problems of Heat Transfer.
    Priority programm 1253
  • K-H. Hoffmann, N. D. Botkin, A. Frackowiak, A. M. Cialkowski
    Study of the Heat Transfer Between Gases and Solid Surfaces Covered With Micro Rods.
    Priority programm 1253
  • K-H. Hoffmann, N. Brenner, C. Morsczeck, J. Schierholz, F. Zeilhofer
    Pluripotent embryonic-like stem cells derived from teeth and uses thereof.
    Application number: 03704549.9, International application number: PCT/EP2003/001131. International publication number: WO 2003/066840. PATENT

  • 2007
  • K-H. Hoffmann, N. D. Botkin, D. Marx
    Drag on spheres in micropolar fluids with nonzero boundary conditions for microrotations.
    J. Fluid Mech. 590 (319-330)
  • K-H. Hoffmann, N. Kenmochi, M. Kubo, N. Yama
    Optimal control problems for models of phase-field type with hysteresis of play operator.
    Advances in Mathematical Sciences and Applications 17 (305-336)
  • K-H. Hoffmann, N. D. Botkin, O. A. Pykhteev, V. L. Turova
    Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids.
    Journal of the Franklin Institute 344, No. 5 (520-535)

  • 2006
  • K-H. Hoffmann, M. Kubo, N. Yamazaki
    Optimal control problems for elliptic-parabolic variational inequalities with time-dependent constraints.
    Numerical Functional Analysis and Optimization 27 (329-356)
  • K-H. Hoffmann, N. D. Botkin, A.M. Khludnev
    The variational contact problem for elastic objects of different dimensions.
    Siberian Mathematical Journal 47, No. 3 (584-593)
  • K-H. Hoffmann, N. D. Botkin, O. A. Pykhteev, B. N. Starovoitova, V. L. Turova
    Two complementary approaches to modelling a biosensor.
    Proceedings of ASM (Applied Simulation and Modelling), Rhodos, Greece, June 26-28 (525-530)

  • 2005
  • K-H. Hoffmann
    On modelling of electronic smart systems and junctions. Application to a piezoelectric plate as junction domain.
    ZAMM 85, No. 8 (539-556)
  • C. Morsczeck, C. Möhl, K-H. Hoffmann, W. Götz, A. Heredia, T. E. Schäffer, N. Eckstein, C. Sippel
    In vitro differentiation of human dental follicle cells with dexamethasone and insulin.
    Cell Biology International 29 (567-575)
  • K-H. Hoffmann, N. D. Botkin, O. A.Pykhteev, V. L. Turova
    Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids.
    Proceedings of the First International Conference on Modelling, Simulation and Applied Optimization, Sharjah, U.A.E., February 1-3
  • K-H. Hoffmann, N. D. Botkin, A. M. Meirmanov, V. N. Starovoitov
    Description of adhering with saturation using boundary conditions of hysteresis type.
    Nonlinear Analysis 63 (1467-1473)
  • K-H. Hoffmann, N. D. Botkin, V. N. Starovoitov
    Homogenization of interfaces between rapidly oscillating fine elastic structures and fluids.
    SIAM J. Appl. Math. 65, No. 3 (983-1005)
  • K-H. Hoffmann, C. Morsczeck, W. Götz, J. Schierholz, F. Zeilhofer, U. Kühn, C. Möhl, C. Sippel
    Isolation of precursor cells (PCs) from human dental follicle of wisdom teeth.
    Matrix Biology 26, No. 2 (155-165)

  • 2004
  • K-H. Hoffmann, N. D. Botkin, O. A. Pykhteev, V. L. Turova
    Numerical computation of dispersion relations for multi-layered anisotropic structures.
    Proceedings of the Nanotechnology Conference and Trade Show 2, Boston, March 7–11 (411-414)
  • K-H. Hoffmann, T. Aiki, T Okazaki
    Wellposedness for a new mathematical model for magnetostrictive thin film multilayers.
    Advances in Math. Sc. and Appl. 14, No. 2 ( 417- 442)
  • K-H. Hoffmann, A.M. Khludnev
    Fictitious domain method for the Signorini problem in linear elasticity.
    Adv. Math. Sci. Appl. 14, No. 2 (465-481)

  • 2003
  • K-H. Hoffmann, N. D. Botkin, V. N. Starovoitov, V. L. Turova
    Treatment of the interface between fine elastik structures and fluids.
    Proceedings of the International Conference “Physics and Control”, St. Petersburg (1367-1372)
  • K-H. Hoffmann, M. Metzger, A. Voigt
    Numerical Simulation and control of industrial crystal growth processes.
    Mathematics – Key Technology for the Future. Ed.: W. Jäger, H.-J. Krebs; Springer (331-342)
  • K-H. Hoffmann, N. D. Botkin, V. N. Starovoitov, V. L. Turova
    Modeling the interaction between bristle elastic structers and fluids.
    Proceedings of the 6-th International Conference on Modeling and Simulation of Microsystems 1, San Francisco (126-129)

  • 2002
  • K-H. Hoffmann, P. Rybka
    Analyticity of the nonlinear term forces convergence of solutions to two equations of continuum mechanics.
    Nonlinear Analysis 50 (409-429)
  • K-H. Hoffmann, A. Voigt
    Asymptotic behavior of solutions to the Cahn-Hilliard equation in spherical symmetric domains.
    Appl. Anal. 81 (893-903 )
  • K-H. Hoffmann, A. Voigt, C. Weichmann.
    Multiscale Simulation of Industrial Crystal Growth.
    Proc. of Algorithmy 2002. Ed.: A. Handlovicova, Z. Kriva, K. Mikula, D. Sevkovic, Slovak University of Technology (1-13)
  • K-H. Hoffmann, A. Voigt, J. Nitschkowski, C. Weichmann
    Controlling Point Defects in Single Silicon Crystal Growth by the Czochralski Method.
    High Performance Scientific and Engineering Computing. Ed.: M. Breuer, F. Durst, C. Zenger, Springer LNCSE 21 (229-236)
  • K-H. Hoffmann, C. Weichmann, J. Nitschkowski, A. Voigt
    Time Dependent Simulations of Heat Transfer in a Czochralski Furnace.
    Advanced Computational Methods in Heat Transfer. Ed.: B. Sunden and C.A. Brebbia, WIT Press (185-194)

  • 2001
  • K-H. Hoffmann, Qi Tang
    Ginzburg-Landau Phase Transition Theory and Superconductivity.
    Birkhäuser-Verlag, ISNM Vol. 134, LEHRBUCH (383)
  • K-H. Hoffmann, W. Hauck, H. F. Zeilhofer, Z. Krol, E. Keeve, R. Sader, C. Ganter, E. Rummeney
    Multidimensional Images of Medical Data by Mathematical Registration Methods.
    Technology and Health Care 9, No. 1-2 (138-140 )
  • K-H. Hoffmann, N. Botkin
    A Fully Coupled Model of a Nonlinear Thin Plate Excited by Piezoelectric Actors.
    1st caesarium: Smart Materials, Springer-Verlag (9-22 )
  • K-H. Hoffmann, A. Voigt, B.-G. Wang, D. Wulff-Molder
    Simulation and control of industrial crystal growth of BaF2.
    Moving Boundaries VI. Ed.: B. Sarler and C. A. Brebbia, WIT Press, Southampton (3-11)
  • K-H. Hoffmann, A. Voigt
    Control of Czochralski Crystal Growth.
    Optimal Control of Complex Structures, ISNM 139, Birkhäuser, Basel. Ed.: K.-H. Hoffmann, I. Lasiecka, G. Leugering, J. Sprekels, F. Tröltzsch (259-266)

  • 2000
  • K-H. Hoffmann, N. D. Botkin
    Homogenization of von Kármán Plates Excited by Piezoelectric Patches.
    ZAMM 80, No. 9 (579-590 )
  • K-H. Hoffmann, A. M. Khludnev
    On Cracks of Minimal Opening in Thermoelastic Plates.
    ZAMM 80, No. 4 (253-258)
  • K-H. Hoffmann, P. Rybka
    Convergence of Solutions to Cahn-Hilliard Equation.
    Communications in Partial Differential Equations 25 (9&10) (1845-1890 )
  • K-H. Hoffmann, V. N. Starovoitov
    Zur Bewegung einer Kugel in einer zähen Flüssigkeit.
    Documenta Mathematica 5 (15-21)
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