Forschung

• "Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Local Well-Posedness" with Harald Garcke and Andrea Poiatti, Preprint: https://arxiv.org/abs/2407.14941
• "Well-posedness and sharp interface limit of a non-isothermal Navier--Stokes/Allen--Cahn model" with Alice Marveggio and Andrea Poiatti, Preprint: https://arxiv.org/abs/2511.11892
• "Existence and Nonlocal-to-Local Convergence for Singular, Anisotropic Nonlocal Cahn-Hilliard Equations" with Yutaka Terasawa, Preprint: https://arxiv.org/abs/2512.01545

• "Sharp Interface Limit for a Navier-Stokes/Allen-CahnSystem in the Case of a Vanishing Mobility" with Mingwen Fei and Maximilian Moser, Calc. Var. 63, 94 (2024). https://doi.org/10.1007/s00526-024-02715-7, Preprint: https://arxiv.org/abs/2304.12096
• "Mathematical Analysis of a Diffuse Interface Modelfor Multi-Phase Flows  of Incompressible Viscous Fluids with Different Densities" with Harald Garcke and Andrea Poiatti, J. Math. Fluid Mech. (2024) 26:29; https://doi.org/10.1007/s00021-024-00864-5, Preprint: https://arxiv.org/abs/2308.11813
• "Strong Nonlocal-to-Local Convergence of the Cahn-Hilliard Equation and its Operator" with Christoph Hurm, Journal of Differential Equations 402, 593–624 (2024), Preprint: https://arxiv.org/abs/2307.02264
• "Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier-Stokes/Allen-Cahn System" with Julian Fischer and Maximilian Moser, Arch Rational Mech Anal 248, 77 (2024) https://doi.org/10.1007/s00205-024-02020-9, Preprint: http://arxiv.org/abs/2311.02997
• "Low Mach Number Limit of a Diffuse Interface Model for Two-Phase Flows of Compressible Viscous Fluids" with Yadong Liu and Šárka Nečasová, GAMM-Mitteilungen. (2024), Preprint: https://arxiv.org/abs/2402.04372
• "Existence of Weak Solutions to a Cahn-Hilliard-Biot System" with Jonas Haselböck and Harald Garcke,  Nonlinear Anal. RWA 81 (2025) 104194; Preprint: arXiv:2403.07515
• "Mixture theory for diffuse interface models of two-phase flows", J. Fluid Mech. (2024), vol. 992, F1, doi:10.1017/jfm.2024.638
• "Maximal Lp-regularity for x-dependent fractional heat equations with Dirichlet conditions" with Gerd Grubb, Math. Ann. (2024). https://doi.org/10.1007/s00208-024-02999; Preprint: https://arxiv.org/abs/2312.01864
• "Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Global Well-Posedness" with Harald Garcke and Andrea Poiatti, Calc. Var. 64, 141 (2025). https://doi.org/10.1007/s00526-025-03001-w, Preprint: https://arxiv.org/abs/2408.07449
• "Convergence of the Nonlocal Allen-Cahn Equationto Mean Curvature Flow" with Christoph Hurm and Maximilian Moser, Asymptotic Analysis. 2025;0(0). Preprint: https://arxiv.org/abs/2410.08596
• "Diffuse Interface Models for Two-Phase Flows with Phase Transition: Modeling and Existence of Weak Solutions" with Harald Garcke and Julia Wittmann, /J. Math. Fluid Mech./ *28*, 7 (2026). , Preprint: https://arxiv.org/abs/2505.05383
• "On a diffuse interface model for diblock copolymers interacting with an electric field" with Andrea di Primio and Harald Garcke, Comm. Math. Sciences, Vol. 24, No. 1, pp. 43-104 (2026); Doi:10.4310 CMS.260102230537 
  Preprint: https://arxiv.org/abs/2411.04074
• "Local Well-Posedness of the Cahn-Hilliard-Biot System" with Jonas Haselböck, Preprint: https://arxiv.org/abs/2508.17893  accepted for publication in J. Evol. Eq.

PhD thesis

"Stokes Equations in Asymptotically Flat Domains and the Motion of a Free Surface", Dissertation, TU Darmstadt, Shaker Verlag, Aachen, 2003.

Habilitation thesis

“Diffuse Interface Models for Two-Phase Flows of Viscous, Incompressible Fluids” (externer Link, öffnet neues Fenster)

Books, Book Chapters and Reviews

• Book review: Alain Miranville: “The Cahn–Hilliard Equation: Recent Advances and Applications”, Jahresbericht der Deutschen Mathematiker-Vereinigung, 123(1), 57-62, 2021; DOI 10.1365/s13291-020-00224-y
• "Pseudodifferential and Singular Integral Operators", Graduate Lecture, DeGruyter, 2011
• Chapter "Weak solutions and diffuse interface models for incompressible two-phase flows" ,with Harald Garcke, doi:10.1007/978-3-319-10151-4_29-1, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, Springer; Preprint 2015 , pp 1-60, 2016