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Bibliography of the Universität Regensburg
- University of Regensburg (87)
- Mathematics (87)
- Prof. Dr. Helmut Abels (87)
- Mathematics (87)
Number of items at this level: 87.
2025
Abels, Helmut 
, Hurm, Christoph and Moser, Maximilian
(2025)
Convergence of the Nonlocal Allen–Cahn Equation to Mean Curvature Flow.
Asymptotic Analysis.
Hurm, Christoph and Moser, Maximilian
(2025)
Nonlocal‐to‐local convergence for a Cahn–Hilliard tumor growth model.
GAMM-Mitteilungen 48 (2), e70003.
2024
Abels, Helmut , Fischer, Julian and 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 and Haselböck, Jonas
(2024)
Existence of weak solutions to a Cahn–Hilliard–Biot system.
Nonlinear Analysis: Real World Applications 81, p. 104194.
Abels, Helmut , Liu, Yadong and Nečasová, Šárka
(2024)
Low Mach number limit of a diffuse interface model for two‐phase flows of compressible viscous fluids.
GAMM-Mitteilungen.
Abels, Helmut and Hurm, Christoph
(2024)
Strong nonlocal-to-local convergence of the Cahn-Hilliard equation and its operator.
Journal of Differential Equations 402, pp. 593-624.
Abels, Helmut , Fei, Mingwen and 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, p. 94.
2023
Abels, Helmut and Liu, Yadong
(2023)
Short-time existence of a quasi-stationary fluid–structure interaction problem for plaque growth.
Advances in Nonlinear Analysis 12 (1).
Liu, Yadong
(2023)
Analysis of Fluid-Structure Interaction Problems with Growth.
Dissertationsreihe der Fakultät für Mathematik der Universität Regensburg
PhD, Universität Regensburg.
Abels, Helmut , Garcke, Harald and Giorgini, Andrea
(2023)
Global regularity and asymptotic stabilization for the incompressible Navier–Stokes-Cahn–Hilliard model with unmatched densities.
Mathematische Annalen 389, pp. 1267-1321.
Abels, Helmut and Grubb, Gerd
(2023)
Fractional‐order operators on nonsmooth domains.
Journal of the London Mathematical Society 107 (4), pp. 1297-1350.
Abels, Helmut , Bürger, Felicitas and Garcke, Harald
(2023)
Short time existence for coupling of scaled mean curvature flow and diffusion.
Journal of Evolution Equations 23 (14).
Abels, Helmut and Ameismeier, Tobias
(2023)
Large times existence for thin vibrating rods.
Asymptotic Analysis 131 (3-4), pp. 471-512.
Fulltext not available.
Abels, Helmut and Liu, Yadong
(2023)
On a fluid-structure interaction problem for plaque growth: cylindrical domain.
Journal of Differential Equations 345, pp. 334-400.
Fulltext not available.
(2023)
On a fluid-structure interaction problem for plaque growth: cylindrical domain.
Journal of Differential Equations 345, pp. 334-400.
Fulltext not available.
Abels, Helmut, Bürger, Felicitas and Garcke, Harald
(2023)
Qualitative properties for a system coupling scaled mean curvature flow and diffusion.
Journal of Differential Equations 349, pp. 236-268.
Fulltext not available.
(2023)
Qualitative properties for a system coupling scaled mean curvature flow and diffusion.
Journal of Differential Equations 349, pp. 236-268.
Fulltext not available.
Abels, Helmut and Fei, Mingwen
(2023)
Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System with Different Viscosities.
SIAM Journal on Mathematical Analysis 55 (4), pp. 4039-4088.
Fulltext not available.
2022
Abels, Helmut and Liu, Yadong
(2022)
On a fluid–structure interaction problem for plaque growth.
Nonlinearity 36 (1), pp. 537-583.
Abels, Helmut and Ameismeier, Tobias
(2022)
Convergence of thin vibrating rods to a linear beam equation.
Zeitschrift für angewandte Mathematik und Physik 73 (4).
Abels, Helmut and Terasawa, Yutaka
(2022)
Convergence of a nonlocal to a local diffuse interface model for two-phase flow with unmatched densities.
Discrete and Continuous Dynamical Systems - S 15 (8), p. 1871.
Fulltext not available.
Abels, Helmut and Moser, Maximilian
(2022)
Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°.
SIAM Journal on Mathematical Analysis 54 (1), pp. 114-172.
Fulltext not available.
Gößwein, Michael, Menzel, Julia and Pluda, Alessandra
(2022)
Existence and uniqueness of the motion by curvature of regular networks.
Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications 25 (1), pp. 109-154.
Fulltext not available.
Abels, Helmut and Pfeuffer, Christine
(2022)
Invariance of the Fredholm index and spectrum of non-smooth pseudodifferential operators.
Analysis and Applications 20 (03), pp. 429-464.
Fulltext not available.
2021
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.
PhD, Universität Regensburg.
Abels, Helmut and 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.
Moser, Maximilian Jörg Josef
(2021)
Sharp Interface Limits for Diffuse Interface Models with Contact Angle.
PhD, Universität Regensburg.
Abels, Helmut and Kampmann, Johannes
(2021)
Existence of weak solutions for a sharp interface model for phase separation on biological membranes.
Discrete & Continuous Dynamical Systems - S 14 (1), pp. 331-351.
Fulltext not available.
Abels, Helmut and Marquardt, Andreas
(2021)
On a linearized Mullins-Sekerka/Stokes system for two-phase flows.
Discrete and Continuous Dynamical Systems - Series S 14 (11), p. 3973.
Fulltext not available.
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, pp. 57-62.
Abels, Helmut and Marquardt, Andreas
(2021)
Sharp interface limit of a Stokes/Cahn–Hilliard system. Part I: Convergence result.
Interfaces and Free Boundaries 23 (3), pp. 353-402.
Fulltext not available.
Abels, Helmut, Arab, Nasrin and Garcke, Harald
(2021)
Standard planar double bubbles are dynamically stable under surface diffusion flow.
Communications in Analysis and Geometry 29 (5), pp. 1007-1060.
Fulltext not available.
2020
Abels, Helmut and Weber, Josef
(2020)
Local well-posedness of a quasi-incompressible two-phase flow.
Journal of Evolution Equations.
Abels, Helmut , Rauchecker, Maximilian and Wilke, Mathias
(2020)
Well-posedness and qualitative behaviour of the Mullins-Sekerka problem with ninety-degree angle boundary contact.
Mathematische Annalen.
Abels, Helmut and Butz, Julia
(2020)
A Blow-up Criterion for the Curve Diffusion Flow with a Contact Angle.
SIAM Journal on Mathematical Analysis 52 (3), pp. 2592-2623.
Fulltext not available.
and Butz, Julia
(2020)
A Blow-up Criterion for the Curve Diffusion Flow with a Contact Angle.
SIAM Journal on Mathematical Analysis 52 (3), pp. 2592-2623.
Fulltext not available.
Beinke, Daniel, Bürger, Felicitas, Solodenko, Helena, Acharya, Rachana, Klauk, Hagen and Schmitz, Guido
(2020)
Extracting the shape of nanometric field emitters.
Nanoscale 12 (4), pp. 2820-2832.
Fulltext not available.
Abels, Helmut and Pfeuffer, Christine
(2020)
Fredholm Property of Non-Smooth Pseudodifferential Operators.
Mathematische Nachrichten 293, 822- 846.
Abels, Helmut and 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), pp. 297-338.
Fulltext not available.
and 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), pp. 297-338.
Fulltext not available.
Terasawa, Y. and 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, pp. 3200-3219.
2019
Marquardt, Andreas
(2019)
Sharp Interface Limit for a Stokes / Cahn-Hilliard System.
PhD, Universität Regensburg.
Pfeuffer, Christine and Toft, Joachim
(2019)
Compactness Properties for Modulation Spaces.
Complex Analysis and Operator Theory 13 (8), pp. 3521-3548.
Fulltext not available.
Abels, Helmut, Garcke, Harald and 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), pp. 195-225.
Fulltext not available.
and 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), pp. 195-225.
Fulltext not available.
Abels, Helmut and Jiménez, Carolina Neira
(2019)
Nonsmooth pseudodifferential boundary value problems on manifolds.
Journal of Pseudo-Differential Operators and Applications 10 (2), pp. 415-453.
Fulltext not available.
and Jiménez, Carolina Neira
(2019)
Nonsmooth pseudodifferential boundary value problems on manifolds.
Journal of Pseudo-Differential Operators and Applications 10 (2), pp. 415-453.
Fulltext not available.
Abels, Helmut, Daube, Johannes and Kraus, Christiane
(2019)
Pressure reconstruction for weak solutions of the two-phase incompressible Navier–Stokes equations with surface tension.
Asymptotic Analysis 113 (1-2), pp. 51-86.
Fulltext not available.
Abels, Helmut and Butz, Julia
(2019)
Short time existence for the curve diffusion flow with a contact angle.
Journal of Differential Equations 268 (1), pp. 318-352.
Fulltext not available.
2018
Mokbel, Dominic, Abels, Helmut and Aland, Sebastian
(2018)
A phase-field model for fluid–structure interaction.
Journal of Computational Physics 372, pp. 823-840.
Fulltext not available.
(2018)
A phase-field model for fluid–structure interaction.
Journal of Computational Physics 372, pp. 823-840.
Fulltext not available.
Abels, Helmut and Pfeuffer, Christine
(2018)
Characterization of Non-Smooth Pseudodifferential Operators.
Journal of Fourier Analysis and Applications 24 (2), pp. 371-415.
Fulltext not available.
Köhne, Matthias and Lengeler, Daniel
(2018)
Local well-posedness for relaxational fluid vesicle dynamics.
Journal of Evolution Equations 18 (4), pp. 1787-1818.
Fulltext not available.
Abels, Helmut and Liu, Yuning
(2018)
Sharp Interface Limit for a Stokes/Allen–Cahn System.
Archive for Rational Mechanics and Analysis 229 (1), pp. 417-502.
Fulltext not available.
2017
Nägele, P., Růžička, M. and Lengeler, D.
(2017)
Functional setting for unsteady problems in moving domains and applications.
Complex Variables and Elliptic Equations 62 (1), pp. 66-97.
Fulltext not available.
Wittmann, Johannes
(2017)
Short time existence of the heat flow for Dirac-harmonic maps on closed manifolds.
Calculus of Variations and Partial Differential Equations 56 (6).
Fulltext not available.
2016
Weber, Josef Thomas
(2016)
Analysis of diffuse interface models for two-phase flows with and without surfactants.
PhD, Universität Regensburg.
Abels, Helmut and Pfeuffer, Christine
(2016)
Spectral Invariance of Non-Smooth Pseudo-Differential Operators.
Integral Equations and Operator Theory 86 (1), pp. 41-70.
Fulltext not available.
Abels, Helmut and Breit, Dominic
(2016)
Weak solutions for a non-Newtonian diffuse interface model with different densities.
Nonlinearity 29 (11), pp. 3426-3453.
Fulltext not available.
2015
Pfeuffer, Christine
(2015)
Characterization of non-smooth pseudodifferential operators.
PhD, Universität Regensburg.
Abels, Helmut, Bosia, Stefano and Grasselli, Maurizio
(2015)
Cahn–Hilliard equation with nonlocal singular free energies.
Annali di Matematica Pura ed Applicata (1923 -) 194 (4), pp. 1071-1106.
Fulltext not available.
Abels, Helmut and Schaubeck, Stefan
(2015)
Classical solutions for a modified Hele‐Shaw model with elasticity.
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 95 (12), pp. 1411-1427.
Fulltext not available.
Hilhorst, Danielle, Kampmann, Johannes, Nguyen, Thanh Nam and Van Der Zee, Kristoffer George
(2015)
Formal asymptotic limit of a diffuse-interface tumor-growth model.
Mathematical Models and Methods in Applied Sciences 25 (06), pp. 1011-1043.
Fulltext not available.
Abels, Helmut, Garcke, Harald and Müller, Lars
(2015)
Local well-posedness for volume-preserving mean curvature and Willmore flows with line tension.
Mathematische Nachrichten 289 (2-3), pp. 136-174.
Fulltext not available.
Abels, Helmut, Arab, Nasrin and Garcke, Harald
(2015)
On convergence of solutions to equilibria for fully nonlinear parabolic systems with nonlinear boundary conditions.
Journal of Evolution Equations 15 (4), pp. 913-959.
Fulltext not available.
(2015)
On convergence of solutions to equilibria for fully nonlinear parabolic systems with nonlinear boundary conditions.
Journal of Evolution Equations 15 (4), pp. 913-959.
Fulltext not available.
Abels, Helmut and Schaubeck, Stefan
(2015)
Sharp interface limit for the Cahn–Larché system.
Asymptotic Analysis 91 (3-4), pp. 283-340.
Fulltext not available.
Abels, Helmut, Garcke, Harald and Müller, Lars
(2015)
Stability of spherical caps under the volume-preserving mean curvature flow with line tension.
Nonlinear Analysis: Theory, Methods & Applications 117, pp. 8-37.
Fulltext not available.
and Müller, Lars
(2015)
Stability of spherical caps under the volume-preserving mean curvature flow with line tension.
Nonlinear Analysis: Theory, Methods & Applications 117, pp. 8-37.
Fulltext not available.
2014
Schaubeck, Stefan
(2014)
Sharp interface limits for diffuse interface models.
PhD, Universität Regensburg.
Abels, Helmut, Diening, Lars and Terasawa, Yutaka
(2014)
Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows.
Nonlinear Analysis: Real World Applications 15, pp. 149-157.
Fulltext not available.
and Terasawa, Yutaka
(2014)
Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows.
Nonlinear Analysis: Real World Applications 15, pp. 149-157.
Fulltext not available.
Abels, Helmut, Grubb, Gerd and Wood, Ian Geoffrey
(2014)
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems.
Journal of Functional Analysis 266 (7), pp. 4037-4100.
Fulltext not available.
and Wood, Ian Geoffrey
(2014)
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems.
Journal of Functional Analysis 266 (7), pp. 4037-4100.
Fulltext not available.
Abels, Helmut and Lengeler, Daniel
(2014)
On sharp interface limits for diffuse interface models for two-phase flows.
Interfaces and Free Boundaries 16, pp. 395-418.
Abels, Helmut, Dolzmann, Georg and Liu, YuNing
(2014)
Well-Posedness of a Fully Coupled Navier--Stokes/Q-tensor System with Inhomogeneous Boundary Data.
SIAM Journal on Mathematical Analysis 46 (4), pp. 3050-3077.
Fulltext not available.
2013
Müller, Lars
(2013)
Volume-Preserving Mean Curvature and Willmore Flows with Line Tension.
PhD, Universität Regensburg.
Abels, Helmut, Depner, Daniel and Garcke, Harald
(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), pp. 453-480.
Fulltext not available.
(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), pp. 453-480.
Fulltext not available.
Abels, Helmut, Depner, Daniel and Garcke, Harald
(2013)
On an incompressible Navier–Stokes/Cahn–Hilliard system with degenerate mobility.
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 30 (6), pp. 1175-1190.
Fulltext not available.
(2013)
On an incompressible Navier–Stokes/Cahn–Hilliard system with degenerate mobility.
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 30 (6), pp. 1175-1190.
Fulltext not available.
Abels, Helmut and Wilke, Mathias
(2013)
Well-posedness and qualitative behaviour of solutions for a two-phase Navier–Stokes-Mullins–Sekerka system.
Interfaces and Free Boundaries 15, pp. 39-75.
2012
Abels, Helmut, Depner, Daniel and Garcke, Harald
(2012)
On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility.
Preprintreihe der Fakultät Mathematik 17/2012,
Working Paper.
Abels, Helmut
(2012)
Strong Well-posedness of a Diffuse Interface Model for a Viscous, Quasi-incompressible Two-phase Flow.
SIAM Journal on Mathematical Analysis 44 (1), pp. 316-340.
Fulltext not available.
ABELS, HELMUT, GARCKE, HARALD and 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).
Fulltext not available.
and 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).
Fulltext not available.
2011
Abels, Helmut, Depner, Daniel and 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.
Abels, Helmut, Mora, Maria Giovanna and Müller, Stefan
(2011)
Large Time Existence for Thin Vibrating Plates.
Communications in Partial Differential Equations 36 (12), pp. 2062-2102.
Fulltext not available.
and Müller, Stefan
(2011)
Large Time Existence for Thin Vibrating Plates.
Communications in Partial Differential Equations 36 (12), pp. 2062-2102.
Fulltext not available.
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.
(Unpublished)
Abels, Helmut, Mora, Maria Giovanna and 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), pp. 241-259.
Fulltext not available.
and 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), pp. 241-259.
Fulltext not available.
Abels, Helmut, Garcke, Harald and 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.
(Unpublished)
Abels, Helmut and 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.
2010
Abels, Helmut, Grubb, Gerd and Wood, Ian G.
(2010)
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems.
Preprintreihe der Fakultät Mathematik 13/2010,
Working Paper.
(Unpublished)
Abels, Helmut and Terasawa, Yutaka
(2010)
Non-homogeneous Navier-Stokes systems with order-parameter-dependent stresses.
Mathematical Methods in the Applied Sciences 33 (13), pp. 1532-1544.
Fulltext not available.
Abels, Helmut, Mora, Maria Giovanna and 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.
(Unpublished)
Abels, Helmut, Garcke, Harald and Grün, Günther
(2010)
Thermodynamically consistent diffuse interface models for incompressible two-phase flows with different densities.
Preprintreihe der Fakultät Mathematik 20/2010,
Working Paper.
(Unpublished)
2009
Abels, Helmut and Röger, Matthias
(2009)
Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids.
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 26 (6), pp. 2403-2424.
Fulltext not available.
Abels, Helmut, Mora, Maria Giovanna and Müller, Stefan
(2009)
Large time existence for thin vibrating plates.
Preprintreihe der Fakultät Mathematik 20/2009,
Working Paper, Regensburg.
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