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Publikationen von Abels, Helmut
(ORCID: 0000-0002-6606-4352)
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Anzahl der Einträge: 21.
2025
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.
2024
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.
2023
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).
2022
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).
2021
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.
2020
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.
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.
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.
2019
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.
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.
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