Welcome
Welcome to my webpage. I am a PostDoc at the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, and member of the research group Nichtlineare Optimierung und Inverse Probleme of Dietmar Hömberg.
My research mainly focuses on the theory of generalized solutions their approximation and optimal control.
Research Interests
- Generalized solutions to the Ericksen–Leslie model
- Measure-valued, dissipative, entropy solutions
- Weak-strong uniqueness of solutions
- liquid crystal flow
- Relative energy approach
- optimal control
- Induction hardening
- Convergence of discretization methods
- Energy-variaitonal solutions
- Phase-field models
- Viscoelastic fluids
Publications
- Etienne Emmrich, Sabine H. L. Klapp, Robert Lasarzik:
Nonstationary models for liquid crystals: A fresh mathematical perspective
Appeared in: Journal of Non-Newtonian Fluid Mechanics - Etienne Emmrich, Robert Lasarzik: Existence of weak solutions to the Ericksen–Leslie model for a general class of free energies
Appeared in: Mathematical Methods in the Applied Sciences - Robert Lasarzik: Measure-valued solutions to the Ericksen–Leslie model equipped with the Oseen–Frank energy
Appeared in: Nonlinear Analysis - Etienne Emmrich, Robert Lasarzik: Weak-strong uniqueness for the general Ericksen–Leslie system in three dimensions
Appeared in: Discrete and Continuous Dynamical Systems — A - Robert Lasarzik: Weak-strong uniqueness for measure-valued solutions to the Ericksen–Leslie model equipped with the Oseen–Frank free energy
Appeared in: Journal of Mathematical Analysis and Applications - Robert Lasarzik: Dissipative solution to the Ericksen–Leslie model equipped with the Oseen–Frank free energy
Appeared in: Zeitschrift fur angewandte Mathematik und Physik - Robert Lasarzik: Approximation and optimal control of dissipative solutions to the Ericksen–Leslie system
Appeared in: Numerical Functional Analysis and Optimization - Etienne Emmrich, Robert Lasarzik: Existence of weak solutions to a dynamic model for smectic-A liquid crystals under undulations
Appeared in: IMA Journal of Applied Mathematics - Robert Lasarzik, Elisabetta Rocca, Giulio Schimperna:
Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model
Appeared in: Rendiconti Lincei Matematica e Applicazioni - Moritz Ebeling-Rump, Dietmar Hömberg, Robert Lasarzik, Thomas Petzold:
Topology optimization subject to additive manufacturing constraints
Appeared in: Journal of Mathematics in Industry - Robert Lasarzik: Maximal dissipative solutions for incompressible fluid dynamics
Appeared in: Zeitschrift fur angewandte Mathematik und Physik - Manuel J. Arenas Jaén, Dietmar Hömberg, Robert Lasarzik, Pertti Mikkonen, Thomas Petzold: Modelling and simulation of flame cutting for steel plates with solid phases and melting
Appeared in: Journal of Mathematics in Industry - Dietmar Hömberg, Robert Lasarzik: Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness
Appeared in: Mathematical Models and Methods in Applied Sciences - Ĺubomír Baňas, Robert Lasarzik, Andreas Prohl: Numerical analysis for nematic electrolytes
Appeared in: IMA Journal of Numerical Analysis - Robert Lasarzik: Analysis of a thermodynamically consistent Navier--Stokes--Cahn--Hilliard model
Appeared in: Nonlinar Analysis - Robert Lasarzik: On the existence of weak solutions in the context of multidimensional incompressible fluid dynamics
Accepted in: Mathematical Methods in the Applied Sciences - Thomas Eiter, Katharina Hopf, Robert Lasarzik:
Weak-strong uniqueness and energy-variational solutions for a class of viscoelastoplastic fluid models
Appeared in: Advances in Nonlinear Analysis - Moritz Ebeling-Rump, Dietmar Hömberg, Robert Lasarzik:
Two-scale topology optimization with heterogeneous mesostructures based on a local volume constraint
Appeared in: Computers and Mathematics with Applications - Dietmar Hömberg, Robert Lasarzik, Luisa Plato:
On the existence of generalized solutions to a spatio-temporal predator-prey system
Appeared in: Journal of Evolution Equations - Robert Lasarzik, Maximilian Reiter:
Analysis and numerical approximation of energy-variational solutions to the Ericksen--Leslie equations
Appeared in: Acta Applicandae Mathematicae - Thomas Eiter, Robert Lasarzik: Existence of energy-variational solutions to hyperbolic conservation laws
- Moritz Ebeling-Rump, Dietmar Hömberg, Robert Lasarzik:
On a two-scale phasefield model for topology optimization
Appeared in: Discrete Contin. Dyn. Syst. Ser. S - Agosti, Abramo; Lasarzik, Robert; Rocca, Elisabetta:
Energy-variational solutions for viscoelastic fluid models
Appeared in: Adv. Nonlinear Anal., - Arenas, Manuel J.; Hömberg, Dietmar; Lasarzik, Robert: Optimal beam forming for laser materials processing
- Hömberg, Dietmar; Lasarzik, Robert; Plato, Luisa:
Existence of weak solutions to an anisotropic electrokinetic flow model
Appeared in: J. Differential Equations.
Projects
- Project manager of the MIMESIS project
- PI of Math+ project Nonlinear Electrokinetics in Anisotropic Microfluids – Analysis, Simulation, and Optimal Control
- PI of project within SPP 2410 on Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness. The title of the project togerther with Thomas Eiter is Analysis of energy-variational solutions for hyperbolic conservation laws.
Teaching
term | course |
---|---|
SoSe 2024 | Partial Differential Equations III (Lecture) |
SoSe 2024 | Partial Differential Equations III (Exercise) |
SoSe 2024 | Gewöhnliche Differentialgleichungen (Seminar zusammen mit Marita Thomas) |
WiSe 2023/24 | Partial Differential Equations II (Lecture) |
WiSe 2023/24 | Partial Differential Equations II (Exercise) |
WiSe 2023/24 | Sobolev- und BV-Räume (Seminar zusammen mit Marita Thomas) |
SoSe 2021 | Nonlinear functional analysis and evolution equations (Lecture) |
SoSe 2019 | Nonlinear functional analysis and evolution equations (Lecture) |
WiSe 2016/2017 | Differentialgleichungen I (Tutorium), Differentialgleichungen IIB (Übung) |
SoSe 2016 | Differentialgleichungen für Ingenieure (Tutorium) |
WiSe 2015/2016 | Differentialgleichungen I (Übung) |
SoSe 2015 | Analysis II (Tutorium) |
WiSe 2014/2015 | Differentialgleichungen I (Übung), Differentialgleichungen I (Tutorium) |
SoSe 2014 | Analysis III für Ingenieure (Tutorium) |
WiSe 2013/2014 | Differentialgleichungen für Ingenieure (Tutorium) |
SoSe 2014 | Mathematik für Physiker IV (Tutorium) |
SoSe 2011 | Nichtineare Optimierung (Übung) |
WiSe 2010/2011 | Lineare Algebra für Ingenieure (Tutorium) |
Education and Theses
- August 2013 -- September 2017 -- PhD in Mathematics at the TU Berlin under the supervision of Etienne Emmrich
- PhD Thesis: Verallgemeinerte Lösungen der Ericksen–Leslie-Gleichungen zur Beschreibung von Flüssigkristallen
- April 2012 -- July 2013 Master of science in Mathematics at the TU Berlin
- September 2011 to -- April 2012 Erasmus stay at the Ecole Polytechnique
- October 2008 -- September 2011 Bachelor of science in Technomathematics at the TU Berlin
Contact
lasarzik(at)wias-berlin.de | |
Phone | +49 (0) 30 20372-466 |
Address | Mohrenstrasse 39, 10117 Berlin |
Office | 504 |
