Publikationen von Abels, Helmut
(ORCID: 0000-0002-6606-4352)

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

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 , Hurm, Christoph und Moser, Maximilian (2025) Convergence of the Nonlocal Allen–Cahn Equation to Mean Curvature Flow. Asymptotic 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).

Abels, Helmut , Garcke, Harald und Haselböck, Jonas (2024) Existence of weak solutions to a Cahn–Hilliard–Biot system. Nonlinear Analysis: Real World Applications 81, S. 104194.

Abels, Helmut , Liu, Yadong und Nečasová, Šárka (2024) Low Mach number limit of a diffuse interface model for two‐phase flows of compressible viscous fluids. GAMM-Mitteilungen.

Abels, Helmut und Hurm, Christoph (2024) Strong nonlocal-to-local convergence of the Cahn-Hilliard equation and its operator. Journal of Differential Equations 402, S. 593-624.

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.

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 und Grubb, Gerd (2023) Fractional‐order operators on nonsmooth domains. Journal of the London Mathematical Society 107 (4), S. 1297-1350.

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 Liu, Yadong (2022) On a fluid–structure interaction problem for plaque growth. Nonlinearity 36 (1), S. 537-583.

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

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

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.

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

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.

Abels, Helmut und Butz, Julia (2020) A Blow-up Criterion for the Curve Diffusion Flow with a Contact Angle. SIAM Journal on Mathematical Analysis 52 (3), S. 2592-2623. Volltext nicht vorhanden.

Abels, Helmut und Pfeuffer, Christine (2020) Fredholm Property of Non-Smooth Pseudodifferential Operators. Mathematische Nachrichten 293, 822- 846.

Abels, Helmut und Kampmann, Johannes (2020) On a model for phase separation on biological membranes and its relation to the Ohta–Kawasaki equation. European Journal of Applied Mathematics 31 (2), S. 297-338. Volltext nicht vorhanden.

Terasawa, Y. und Abels, Helmut (2020) Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities and Nonlocal Free Energies. Mathematical Methods in the Applied Sciences 20, S. 3200-3219.

Abels, Helmut und Jiménez, Carolina Neira (2019) Nonsmooth pseudodifferential boundary value problems on manifolds. Journal of Pseudo-Differential Operators and Applications 10 (2), S. 415-453. Volltext nicht vorhanden.