Bibliographie der Universität Regensburg
- Universität Regensburg (90)
- Mathematik (90)
- Prof. Dr. Helmut Abels (90)
- Mathematik (90)
A
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 und Liu, Yadong
(2023)
Short-time existence of a quasi-stationary fluid–structure interaction problem for plaque growth.
Advances in Nonlinear Analysis 12 (1).
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).
(2023)
On a fluid-structure interaction problem for plaque growth: cylindrical domain.
Journal of Differential Equations 345, S. 334-400.
Volltext nicht vorhanden.
(2023)
Qualitative properties for a system coupling scaled mean curvature flow and diffusion.
Journal of Differential Equations 349, S. 236-268.
Volltext nicht vorhanden.
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).
Ameismeier, Tobias
(2021)
Thin Vibrating Rods: Γ-Convergence, Large Time Existence and First Order Asymptotics.
Dissertation, Universität Regensburg.
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
(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.
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.
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.
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 Weber, Josef
(2019)
Existence of weak solutions for a diffuse interface model for two-phase flow with surfactants.
Communications on Pure & Applied Analysis 18 (1), S. 195-225.
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.
(2015)
On convergence of solutions to equilibria for fully nonlinear parabolic systems with nonlinear boundary conditions.
Journal of Evolution Equations 15 (4), S. 913-959.
Volltext nicht vorhanden.
und Müller, Lars
(2015)
Stability of spherical caps under the volume-preserving mean curvature flow with line tension.
Nonlinear Analysis: Theory, Methods & Applications 117, S. 8-37.
Volltext nicht vorhanden.
und Terasawa, Yutaka
(2014)
Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows.
Nonlinear Analysis: Real World Applications 15, S. 149-157.
Volltext nicht vorhanden.
und Wood, Ian Geoffrey
(2014)
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems.
Journal of Functional Analysis 266 (7), S. 4037-4100.
Volltext nicht vorhanden.
Abels, Helmut und Lengeler, Daniel
(2014)
On sharp interface limits for diffuse interface models for two-phase flows.
Interfaces and Free Boundaries 16, S. 395-418.
(2013)
Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities.
Journal of Mathematical Fluid Mechanics 15 (3), S. 453-480.
Volltext nicht vorhanden.
(2013)
On an incompressible Navier–Stokes/Cahn–Hilliard system with degenerate mobility.
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 30 (6), S. 1175-1190.
Volltext nicht vorhanden.
Abels, Helmut und Wilke, Mathias
(2013)
Well-posedness and qualitative behaviour of solutions for a two-phase Navier–Stokes-Mullins–Sekerka system.
Interfaces and Free Boundaries 15, S. 39-75.
Abels, Helmut, Depner, Daniel und Garcke, Harald
(2012)
On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility.
Preprintreihe der Fakultät Mathematik 17/2012,
Working Paper.
und GRÜN, GÜNTHER
(2012)
THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES.
Mathematical Models and Methods in Applied Sciences 22 (03).
Volltext nicht vorhanden.
Abels, Helmut, Depner, Daniel und Garcke, Harald
(2011)
Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities.
Preprintreihe der Fakultät Mathematik 33/2011,
Working Paper.
und Müller, Stefan
(2011)
Large Time Existence for Thin Vibrating Plates.
Communications in Partial Differential Equations 36 (12), S. 2062-2102.
Volltext nicht vorhanden.
Abels, Helmut
(2011)
Strong well-posedness of a diffuse interface model for a viscous, quasi-incompressible two-phase flow.
Preprintreihe der Fakultät Mathematik 20/2011,
Working Paper.
(Unveröffentlicht)
und Müller, Stefan
(2011)
The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity.
Calculus of Variations and Partial Differential Equations 41 (1-2), S. 241-259.
Volltext nicht vorhanden.
Abels, Helmut, Garcke, Harald und Grün, Günther
(2011)
Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities.
Preprintreihe der Fakultät Mathematik 21/2011,
Working Paper.
(Unveröffentlicht)
Abels, Helmut und Wilke, Mathias
(2011)
Well-posedness and qualitative behavior of solutions for a two-phase Navier-Stokes-Mullins-Sekerka system.
Preprintreihe der Fakultät Mathematik 36/2011,
Working Paper.
Abels, Helmut, Grubb, Gerd und Wood, Ian G.
(2010)
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems.
Preprintreihe der Fakultät Mathematik 13/2010,
Working Paper.
(Unveröffentlicht)
Abels, Helmut, Mora, Maria Giovanna und Müller, Stefan
(2010)
The time-dependent von Kármán plate equation as a limit of 3D nonlinear elasticity.
Preprintreihe der Fakultät Mathematik 1/2010,
Working Paper.
(Unveröffentlicht)
Abels, Helmut, Garcke, Harald und Grün, Günther
(2010)
Thermodynamically consistent diffuse interface models for incompressible two-phase flows with different densities.
Preprintreihe der Fakultät Mathematik 20/2010,
Working Paper.
(Unveröffentlicht)
Abels, Helmut, Mora, Maria Giovanna und Müller, Stefan
(2009)
Large time existence for thin vibrating plates.
Preprintreihe der Fakultät Mathematik 20/2009,
Working Paper, Regensburg.
B
Butz, Julia
(2018)
The Curve Diffusion Flow with a Contact Angle.
Dissertation, Universität Regensburg.
G
H
Hurm, Christoph Georg
(2025)
Nonlocal-to-Local Limits for Phase-Field Models.
Dissertation, Universität Regensburg.
Hurm, Christoph
und Moser, Maximilian
(2025)
Nonlocal‐to‐local convergence for a Cahn–Hilliard tumor growth model.
GAMM-Mitteilungen 48 (2), e70003.
K
Kampmann, Johannes
(2018)
Phase separation on biological membranes.
Dissertation, Universität Regensburg.
L
Liu, Yadong
(2023)
Analysis of Fluid-Structure Interaction Problems with Growth.
Dissertationsreihe der Fakultät für Mathematik der Universität Regensburg
Dissertation, Universität Regensburg.
M
Moser, Maximilian Jörg Josef
(2021)
Sharp Interface Limits for Diffuse Interface Models with Contact Angle.
Dissertation, Universität Regensburg.
Marquardt, Andreas
(2019)
Sharp Interface Limit for a Stokes / Cahn-Hilliard System.
Dissertation, Universität Regensburg.
(2018)
A phase-field model for fluid–structure interaction.
Journal of Computational Physics 372, S. 823-840.
Volltext nicht vorhanden.
Müller, Lars
(2013)
Volume-Preserving Mean Curvature and Willmore Flows with Line Tension.
Dissertation, Universität Regensburg.
N
P
Pfeuffer, Christine
(2015)
Characterization of non-smooth pseudodifferential operators.
Dissertation, Universität Regensburg.
S
Schaubeck, Stefan
(2014)
Sharp interface limits for diffuse interface models.
Dissertation, Universität Regensburg.
T
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.
W
Weber, Josef Thomas
(2016)
Analysis of diffuse interface models for two-phase flows with and without surfactants.
Dissertation, Universität Regensburg.