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# Publications

## In refereed journals

1. Christian Kahle,
An $L^\infty$ bound for the Cahn--Hilliard equation with relaxed non-smooth free energy,
Hamburger Beiträge zur angewandten Mathematik 2015-40 (2015),
preprint

2. Harald Garcke, Claudia Hecht, Michael Hinze, Christian Kahle, Kei Fong Lam,
Shape optimization for surface functionals in Navier--Stokes flow using a phase field approach,
Interfaces and Free Boundaries, 2016, 18(2), 219-261,
preprint

3. Harald Garcke, Claudia Hecht, Michael Hinze and Christian Kahle,
Numerical approximation of phase field based shape and topology optimization for fluids,
SIAM Journal on Scientific Computing, 2015, 37(4), 1846-1871,
preprint

4. Harald Garcke, Michael Hinze and Christian Kahle,
A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow,
Applied Numerical Mathematics, 2016, 99, 151-171
preprint

5. Michael Hintermüller, Michael Hinze and Christian Kahle,
An adaptive finite element Moreau--Yosida-based solver for a coupled Cahn--Hilliard/Navier--Stokes system,
Journal of Computational Physics, 2013, 235, 810-827,
preprint

## Further publications

1. Harald Garcke, Michael Hinze, and Christian Kahle,
Diffuse interface approaches in atmospere and ocean - modeling and numerical implementation,
ArXiv preprint 1607.07986,
preprint

2. Michael Hinze and Christian Kahle,
Model Predictive Control of two-phase flow using a diffuse interface approach,
Proceedings in Applied Mathematics and Mechanics, Wiley, 2014, 14(1), 731--732

3. Michael Hinze and Christian Kahle,
A nonlinear Model Predictive Concept for the Control of Two-Phase Flows governed by the Cahn--Hilliard Navier--Stokes System
System Modeling and Optimization,
IFIP Advances in Information and Communication Technology (391), 2013, 348-357,
25th IFIP TC 7 Conference, CSMO 2011, Berlin, Germany, September 12-16, 2011,
preprint

4. Christian Kahle (joint with Michael Hinze),
Instantaneous Control of two-phase flow with different densities,
European Mathematical Society, Oberwolfach Reports 10(1), 2013, 898-901,
Chapter: Interfaces and Free Boundaries: Analysis, Control and Simulation,
preprint

5. Michael Hinze and Christian Kahle,
Model predictive control of variable density multiphase flows governed by diffuse interface models,
Proceedings of the first IFAC Workshop on Control of Systems Modeled by Partial Differential Equations 1(1) 2013, 127-132,
preprint

## Theses

Dissertation: Simulation and Control of Two-Phase Flow Using Diffuse Interface Models
Diploma: Relaxierungsverfahren zur numerischen Lösung von parabolischen Kontrollproblemen mit Zustandsschranken

## Invited talks

• Topology optimization in Navier-Stokes flow with a diffuse-interface approach,
The Mathematics of Finite Elements and Applications, MAFELAP 2016,
June 14-17 2016, London, Brunel University
Invited by Wei Gong

• Simulation and Control of two phase fluids using a diffuse-interface model,
Oberseminar Numerik, Universität Bielefeld,
November 16 2015 Bielefeld,
Invited by Lubomir Banas

• A stable discretization for the simulation of two-phase flow using the diffuse interface approach,
3rd ECCOMAS Yound Investigators Conference,
July 20-23 Aachen,
Invited by Christoph Lehrenfeld and Sebastian Aland

• Model Predictive Control of two-phase flow using a diffuse interface approach,
2015 SIAM Conference on Control and Its Applications (CT15),
Minisymposium on Optimal Control of Multiphase Systems,
July 08-10 2015 Paris,
Invited by Michael Hintermüller and Donat Wegner

• A stable discretization for the simulation of two-phase flow modeled by the diffuse interface approach,
Oberseminar Analysis, Universität Regensburg,
April 11 2014 Regensburg,
Invited by Harald Garcke

• Simulation of two-phase flow using the diffuse-interface approach,
Seminar of research group 'Computational Methods in Systems and Control Theory'
Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg,
January 14 2014 Magdeburg,
Invited by Martin Stoll

## Talks

• Optimal Control of time discrete two-phase flow governed by a diffuse interface model,
Workshop on Computational Science and Engineering,
Recent trends and future developments in Computational Science and Engineering,
March 22-24 2016 Plön

• Optimal Control of time discrete two-phase flow governed by a diffuse interface model,
Joint Annual Meeting of DMV and GAMM,
March 07-11 2016 Braunschweig

• Topology optimization in Navier-Stokes flow using a porosity and a phase field approach,
International Conference on Transport Processes at Fluidic Interfaces,

• Topology optimization in Navier-Stokes flow using a porosity and a phase field approach,
Workshop on Computational Science and Engineering,
Recent trends and future developments in Computational Science and Engineering,
March 09-13 2015 Plön

• A stable discretization for the simulation of two-phase flow using the diffuse interface approach,
13th International Conference on Free Boundary Problems: Theory and Applications,
Isaac Newton Institute for Mathematical Sciences,
June 23-27 2014 Cambridge

• A stable discretization for the simulation of two-phase flow using the diffuse interface approach,
Workshop on Computational Science and Engineering,
Recent trends and future developments in Computational Science and Engineering,
March 24-18 2014 Plön

• Model Predictive Control of two-phase flow using a diffuse interface approach,
85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM),
March 10-14 2014 Erlangen

• Topology optimization in Navier--Stokes flow using a porosity and a phase field approach,
Workshop on Numerical Methods for Optimal Control and Inverse Problems (OCIP),
March 03-05 2014 Munich

• Fully adaptive and integrated numerical methods for the simulation and control
of variable density multiphase flows governed by diffuse interface models (joint with Donat Wegner),
DFG Priority Programm 1506: Transport Processes at Fluidic Interfaces,
Kick-off meeting for second funding period,
July 15-16 2013 Aachen

• Simulation of two-phase flow using the diffuse-interface approach,
Seminar of the Lothar--Collatz School for Computing in Science,
May 14 2013 Hamburg

• Instantaneous Control of two-phase flow with different densities,
Workshop 1313: Interfaces and Free Boundaries: Analysis, Control and Simulation,
March 24-30 2013 Oberwolfach

• Instantaneous Control of the Cahn--Hilliard Navier--Stokes system,
12th International Conference on Free Boundary Problems: Theory and Applications,
June 11-15 2012 Frauenchiemsee

• A nonlinear model predictive concept for control of two-phase flows governed by the
Cahn-Hilliard Navier-Stokes system,
Workshop on Numerical Methods for Optimal Control and Inverse Problems (OCIP),
March 12-14 2012 Munich

• A residual-based a posteriori approach to the Cahn-Hilliard-Navier-Stokes system,
Workshop on Phase Field Models in Fluid Mechanics,
February 14-16 2011 Regensburg

 Impressum 2016-02-11, Christian Kahle