Veröffentlichungswege

Archive for Rational Mechanics and Analysis

Abels, Helmut , Fischer, Julian und Moser, Maximilian (2024) Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier–Stokes/Allen–Cahn System. Archive for Rational Mechanics and Analysis 248 (5).

Calculus of Variations and Partial Differential Equations

Abels, Helmut , Fei, Mingwen und Moser, Maximilian (2024) Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility. Calculus of Variations and Partial Differential Equations 63, S. 94.

Jahresbericht der Deutschen Mathematiker-Vereinigung

Abels, Helmut (2021) Review of: Miranville, Alain: The Cahn–Hilliard Equation: Recent Advances and Applications. Philadelphia, PA: SIAM, Society for Industrial & Applied Mathematics, 2019, xiv, 216 S., ISBN 9781611975918. Jahresbericht der Deutschen Mathematiker-Vereinigung 123, S. 57-62.

Journal of Evolution Equations

Abels, Helmut und Haselböck, Jonas (2026) Local well-posedness of the Cahn–Hilliard–Biot System. Journal of Evolution Equations 26, S. 54.

Abels, Helmut , Bürger, Felicitas und Garcke, Harald (2023) Short time existence for coupling of scaled mean curvature flow and diffusion. Journal of Evolution Equations 23 (14).

Abels, Helmut und Weber, Josef (2020) Local well-posedness of a quasi-incompressible two-phase flow. Journal of Evolution Equations.

Journal of Mathematical Fluid Mechanics

Abels, Helmut , Garcke, Harald und Wittmann, Julia (2025) Diffuse Interface Models for Two-Phase Flows with Phase Transition: Modeling and Existence of Weak Solutions. Journal of Mathematical Fluid Mechanics 28 (7).

Abels, Helmut und Marquardt, Andreas (2021) Sharp Interface Limit of a Stokes/Cahn–Hilliard System, Part II: Approximate Solutions. Journal of Mathematical Fluid Mechanics 23, article no.38.

Mathematische Annalen

Abels, Helmut , Garcke, Harald und Giorgini, Andrea (2023) Global regularity and asymptotic stabilization for the incompressible Navier–Stokes-Cahn–Hilliard model with unmatched densities. Mathematische Annalen 389, S. 1267-1321.

Abels, Helmut , Rauchecker, Maximilian und Wilke, Mathias (2020) Well-posedness and qualitative behaviour of the Mullins-Sekerka problem with ninety-degree angle boundary contact. Mathematische Annalen.

Partial Differential Equations and Applications

Abels, Helmut (2021) (Non-)convergence of solutions of the convective Allen–Cahn equation. Partial Differential Equations and Applications 3 (1).

Zeitschrift für angewandte Mathematik und Physik

Abels, Helmut und Ameismeier, Tobias (2022) Convergence of thin vibrating rods to a linear beam equation. Zeitschrift für angewandte Mathematik und Physik 73 (4).