Prof. Dr. Matthias Röger

Articles

• Fuchs, J. and Röger, M.
  Mathematical analysis of a mesoscale model for multiphase membranes.
  GAMM-Mitteilungen (2024), Volume 47, Issue 4.
  The original publication is available at [Wiley-VCH GmbH]
  ArXiv e-prints (2024) arXiv:2402.05069 [math.AP]
  

• S.Olbermann, H. and Röger, M.
  Phase separation on varying surfaces and convergence of diffuse interface approximations.
  Calculus of Variations and Partial Differential Equations (2023), Vol 62.
  The original publication is available at [ Springer Link]
  ArXiv e-prints (2023) arXiv:2307.01865 [math.AP]
  

• Logioti,A., Niethammer, N., Röger, M. and Velázquez, J.L.
  Qualitative properties of solutions to a non-local free boundary problem modeling cell polarization.
  Communications in Partial Differential Equations (2023, online first).
  The original publication is available at [ Taylor and Francis Online ]
  ArXiv e-prints (2023) arXiv:2202.06289 [math.AP]
  

• Dabrock, N., Knüttel, S. and Röger, M.
  Gradient-free diffuse approximations of the Willmore functional and Willmore flow.
  Asymptotic Analysis (2023), vol. 133.
  The original publication is available at [ IOS Press]
  ArXiv e-prints (2022) arXiv:2210.06191 [math.AP]
  

• Bäcker,J.-P. and Röger, M.
  Analysis and asymptotic reduction of a bulk-surface reaction-diffusion model of Gierer-Meinhardt type.
  Communications on Pure & Applied Analysis (2022) Vol. 21.
  The original publication is available at [ AIM Sciences]
  

• Rätz, A. and Röger, M.
  A new Diffuse-interface approximation of the Willmore flow .
  ESAIM: COCV (2021) Vol. 27.
  The original publication is available at [ EDP Sciences]
  ArXiv e-prints (2019) arXiv:1910.14373 [math.AP]
  

• Logioti, A., Niethammer, B., Röger, M. and Velázquez, J.J.L.
  A parabolic free boundary problem arising in a model of cell polarization.
  Siam J. Math. Anal. (2021) Vol. 53.
  The original publication is available at [http://epubs.siam.org/]
  ArXiv e-prints (2020) arXiv:2006.16155 [math.AP]
  

• Dabrock, N., Hofmanová, M. and Röger, M.,
  Existence of martingale solutions and large-time behavior for a stochastic mean curvature flow of graphs.
  Probab. Theory Relat. Fields (2020).
  The original publication is available at [SpringerLink.]
  ArXiv e-prints (2019) arXiv:1903.04785 [math.PR]
  

• Röger, M. and Schweizer, B.
  Relaxation analysis in a data driven problem with a single outlier.
  Calc. Var. Partial Differential Equations 59 (2020).
  The original publication is available at [SpringerLink.]
  Preprint (2019) TU Dortmund
  

• Niethammer, B., Röger, M. and Velázquez, J.J.L.,
  A bulk-surface reaction-diffusion system for cell polarization.
  Interfaces Free Bound. 22 (2020).
  The original publication is available at [EMS Publishing House.]
  ArXiv e-prints (2019) arXiv:1902.05842 [math.AP]
  

• Voss, S., Li, F., Rätz, A., Röger, M. and Wu, Y.-W.,
  Spatial Cycling of Rab GTPase, Driven by the GTPase Cycle, Controls Rab’s Subcellular Distribution.
  Biochemistry 58 (4), 276-285 (2019).

• Goldman, M., Novaga M. and Röger, M.,
  Quantitative estimates for bending energies and applications to non-local variational problems.
  Proceedings of the Royal Society of Edinburgh: Section A Mathematics, (2019).
  The original publication is available at [Royal Society of Edinburgh Scotland Foundation]
  ArXiv e-prints (2018) arXiv:1801.01418 [math.AP]
  

• Hausberg, S. and Röger, M.,
  Well-posedness and fast-diffusion limit for a bulk-surface reaction-diffusion system.
  Nonlinear Differential Equations and Applications 25 (3), (2018).
  The original publication is available at [SpringerLink]
  Author's manuscript

• Röger, M. and Schweizer, B.,
  Strain gradient visco-plasticity with dislocation densities contributing to the energy.
  Mathematical Models and Methods in Applied Sciences (M3AS) 27 (14) pp. 2595-2629 (2017).
  The original publication is available at [World Scientific Publishing]
  ArXiv e-prints (2017). arXiv:1704.05326 [math.AP]

• Deckelnick, K., Grunau, H.-C. and Röger, M.,
  Minimising a relaxed Willmore functional for graphs subject to boundary conditions,
  Interfaces and Free Boundaries 19 (1), pp. 109-140, (2017).
  The original publication is available at [EMS Publishing House]
  ArXiv e-prints (2015). arXiv:1503.01275[math.AP]

• Anguige, K. and Röger, M.,
  Global existence for a bulk/surface model for active-transport-induced polarisation in biological cells ,
  Journal of Mathematical Analysis and Applications 448 (1) pp. 213 - 244, (2017).
  The original publication is available at [http://www.sciencedirect.com].
  ArXiv e-print arXiv:1605.09765 [math.AP]

• Bonacini, M., Knüpfer, H. and Röger, M.,
  Optimal distribution of oppositely charged phases: perfect screening and other properties,
  SIAM J. Math. Anal. 48 (2) pp. 1128-1154, (2016).
  The original publication is available at [http://epubs.siam.org/].
  ArXiv e-print arXiv:1506.02831 [math.AP]

• Garcke, H., Kampmann, J., Rätz, A. and Röger, M.,
  A coupled surface-Cahn-Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes,
  Math. Models Methods Appl. Sci. 26 (6) pp. 1149-1189, (2016).
  The original publication is available at [http://www.worldscientific.com].
  ArXiv e-print arXiv:1509.03655 [math.AP]

• Heida, M. and Röger, M.,
  Large deviation principle for a stochastic Allen--Cahn equation,
  Journal of Theoretical Probability pp. 1-38, (2016).
  The original publication is available at [http://link.springer.com].
  

• Hofmanová, M., Röger, M. and von Renesse, M.,
  Weak solutions for a stochastic mean curvature flow of two-dimensional graphs,
  Probability Theory and Related Fields pp. 1-36, (2016).
  The original publication is available at [http://link.springer.com].
  ArXiv e-print arXiv:1412.5863 [math.AP]

• Lussardi, L. and Röger, M.,
  Gamma convergence of a family of surface-director bending energies with small tilt,
  Arch. Ration. Mech. Anal. 219 (3) pp. 985-1016, (2016).
  The original publication is available at [http://link.springer.com].
  ArXiv e-print arXiv:1501.02600 [math.AP]

• Lussardi, L., Peletier, M., Röger, M.
  Variational analysis of a mesoscale model for bilayer membranes
  J. Fixed Point Theory Appl., 2014, Vol. 15, No. 1, pp. 217-240
  The original publication is available at http://link.springer.com
  arXiv:1402.6600 [math.AP]

• Rätz, A., Röger, M.
  Symmetry breaking in a bulk-surface reaction-diffusion model for signaling networks.
  IOPscience, 2014, Nonlinearity, Vol. 27, No. 8 1805 DOI:10.1088/0951-7715/27/8/1805
  The original publication is available at IOPscience
  arXiv:1305.6172 [math.AP]

• Magni, A., Röger, M.
  Variational analysis of a mean curvature flow action functional
  Calc. Var. Partial Differential Equations 52 (2015), pp. 609–639, Springer-Verlag Berlin Heidelberg
  The original publication is available at Springer Berlin Heidelberg
  arxiv:1304.2012 [math.AP]

• Müller, S., Röger, M.
  Confined structures of least bending energy
  J. Differential Geom., 2014, Vol. 97(1), pp. 109-139 The original publication is available at projecteuclid
  arXiv:1308.2530 [math.AP]

• Dondl, P., Mugnai, L. and Röger, M.
  A Phase Field Model for the Optimization of the Willmore Energy in the Class of Connected Surfaces
  SIAM Journal on Mathematical Analysis, 2014, Vol. 46(2), pp. 1610-1632
  The original publication is available at http://epubs.siam.org/
  arXiv:1305.5054 [math.AP]