Einträge von Abels, Helmut auf dem Publikationsserver

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).

Abels, Helmut und Ameismeier, Tobias (2023) Large times existence for thin vibrating rods. Asymptotic Analysis 131 (3-4), S. 471-512. Volltext nicht vorhanden.

Abels, Helmut und Liu, Yadong (2023) On a fluid-structure interaction problem for plaque growth: cylindrical domain. Journal of Differential Equations 345, S. 334-400. Volltext nicht vorhanden.

Abels, Helmut, Bürger, Felicitas und Garcke, Harald (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 Fei, Mingwen (2023) Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System with Different Viscosities. SIAM Journal on Mathematical Analysis 55 (4), S. 4039-4088. 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 und 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), S. 1871. Volltext nicht vorhanden.

Abels, Helmut und 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), S. 114-172. Volltext nicht vorhanden.

Abels, Helmut und Pfeuffer, Christine (2022) Invariance of the Fredholm index and spectrum of non-smooth pseudodifferential operators. Analysis and Applications 20 (03), S. 429-464. Volltext nicht vorhanden.

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 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), S. 331-351. Volltext nicht vorhanden.

Abels, Helmut und Marquardt, Andreas (2021) On a linearized Mullins-Sekerka/Stokes system for two-phase flows. Discrete and Continuous Dynamical Systems - Series S 14 (11), S. 3973. Volltext nicht vorhanden.

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 Marquardt, Andreas (2021) Sharp interface limit of a Stokes/Cahn–Hilliard system. Part I: Convergence result. Interfaces and Free Boundaries 23 (3), S. 353-402. Volltext nicht vorhanden.

Abels, Helmut, Arab, Nasrin und Garcke, Harald (2021) Standard planar double bubbles are dynamically stable under surface diffusion flow. Communications in Analysis and Geometry 29 (5), S. 1007-1060. Volltext nicht vorhanden.

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, Garcke, Harald 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.

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.

Abels, Helmut, Daube, Johannes und Kraus, Christiane (2019) Pressure reconstruction for weak solutions of the two-phase incompressible Navier–Stokes equations with surface tension. Asymptotic Analysis 113 (1-2), S. 51-86. Volltext nicht vorhanden.

Abels, Helmut und Butz, Julia (2019) Short time existence for the curve diffusion flow with a contact angle. Journal of Differential Equations 268 (1), S. 318-352. Volltext nicht vorhanden.

Mokbel, Dominic, Abels, Helmut und Aland, Sebastian (2018) A phase-field model for fluid–structure interaction. Journal of Computational Physics 372, S. 823-840. Volltext nicht vorhanden.

Abels, Helmut und Pfeuffer, Christine (2018) Characterization of Non-Smooth Pseudodifferential Operators. Journal of Fourier Analysis and Applications 24 (2), S. 371-415. Volltext nicht vorhanden.

Abels, Helmut und Liu, Yuning (2018) Sharp Interface Limit for a Stokes/Allen–Cahn System. Archive for Rational Mechanics and Analysis 229 (1), S. 417-502. Volltext nicht vorhanden.

Abels, Helmut und Pfeuffer, Christine (2016) Spectral Invariance of Non-Smooth Pseudo-Differential Operators. Integral Equations and Operator Theory 86 (1), S. 41-70. Volltext nicht vorhanden.

Abels, Helmut und Breit, Dominic (2016) Weak solutions for a non-Newtonian diffuse interface model with different densities. Nonlinearity 29 (11), S. 3426-3453. Volltext nicht vorhanden.

Abels, Helmut, Lam, Kei Fong und Stinner, Björn (2015) Analysis of the Diffuse Domain Approach for a Bulk-Surface Coupled PDE System. SIAM Journal on Mathematical Analysis 47 (5), S. 3687-3725. Volltext nicht vorhanden.

Abels, Helmut, Bosia, Stefano und Grasselli, Maurizio (2015) Cahn–Hilliard equation with nonlocal singular free energies. Annali di Matematica Pura ed Applicata (1923 -) 194 (4), S. 1071-1106. Volltext nicht vorhanden.

Abels, Helmut und 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), S. 1411-1427. Volltext nicht vorhanden.

Abels, Helmut, Garcke, Harald und Müller, Lars (2015) Local well-posedness for volume-preserving mean curvature and Willmore flows with line tension. Mathematische Nachrichten 289 (2-3), S. 136-174. Volltext nicht vorhanden.

Abels, Helmut, Arab, Nasrin und Garcke, Harald (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.

Abels, Helmut und Schaubeck, Stefan (2015) Sharp interface limit for the Cahn–Larché system. Asymptotic Analysis 91 (3-4), S. 283-340. Volltext nicht vorhanden.

Abels, Helmut, Garcke, Harald 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.

Abels, Helmut, Diening, Lars 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.

Abels, Helmut, Grubb, Gerd 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.

Abels, Helmut, Dolzmann, Georg und 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), S. 3050-3077. Volltext nicht vorhanden.

Abels, Helmut, Depner, Daniel und 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), S. 453-480. Volltext nicht vorhanden.

Abels, Helmut, Depner, Daniel und 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), 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.

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), S. 316-340. 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.

Abels, Helmut, Mora, Maria Giovanna 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)

Abels, Helmut, Mora, Maria Giovanna 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 und Terasawa, Yutaka (2010) Non-homogeneous Navier-Stokes systems with order-parameter-dependent stresses. Mathematical Methods in the Applied Sciences 33 (13), S. 1532-1544. Volltext nicht vorhanden.

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 und 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), S. 2403-2424. Volltext nicht vorhanden.

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.