Bibliography of the Universität Regensburg

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 (1).

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 (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 (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 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.

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.

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.

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.

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.

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.

Butz, Julia (2018) The Curve Diffusion Flow with a Contact Angle. PhD, Universität Regensburg.

Kampmann, Johannes (2018) Phase separation on biological membranes. PhD, Universität Regensburg.

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.

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.

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.

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.

Pfeuffer, Christine (2015) Characterization of non-smooth pseudodifferential operators. PhD, Universität Regensburg.

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.

Schaubeck, Stefan (2014) Sharp interface limits for diffuse interface models. PhD, Universität Regensburg.

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.

Müller, Lars (2013) Volume-Preserving Mean Curvature and Willmore Flows with Line Tension. PhD, Universität Regensburg.

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.

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, 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 (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, 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.

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, 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)

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.