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Helmut Abels

University of Regensburg · DE
🔎 Find collaborators in Computational Theory and Mathematics · Applied Mathematics →
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Area of research
Computational Theory and Mathematics · Applied Mathematics
Research interest
Research interests include Mathematics, Mathematical analysis, Compressibility, Limit (mathematics), Bounded function, and Convergence (economics).
h-index
citations
637
works
79
NIH funding
primary concept
email

Recent publications

<!--StartFragment --><span class="cf0">On a diffuse interface model for diblock copolymers interacting with an electric field</span><!--EndFragment -->
Communications in Mathematical Sciences 2026cited by 0position: firstdoi
Diffuse interface model for two-phase flows on evolving surfaces with different densities: local well-posedness
Journal of Evolution Equations 2026cited by 0position: firstdoi
Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness
Calculus of Variations and Partial Differential Equations 2025cited by 7position: firstdoi
Convergence of the Nonlocal Allen–Cahn Equation to Mean Curvature Flow
Asymptotic Analysis 2025cited by 0position: firstdoi
Diffuse Interface Models for Two-Phase Flows with Phase Transition: Modeling and Existence of Weak Solutions
Journal of Mathematical Fluid Mechanics 2025cited by 0position: firstdoi
Strong nonlocal-to-local convergence of the Cahn-Hilliard equation and its operator
Journal of Differential Equations 2024cited by 15position: firstdoi
Mathematical Analysis of a Diffuse Interface Model for Multi-phase Flows of Incompressible Viscous Fluids with Different Densities
Journal of Mathematical Fluid Mechanics 2024cited by 11position: firstdoi
Existence of weak solutions to a Cahn–Hilliard–Biot system
Nonlinear Analysis Real World Applications 2024cited by 4position: firstdoi
Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier–Stokes/Allen–Cahn System
Archive for Rational Mechanics and Analysis 2024cited by 4position: firstdoi
Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility
Calculus of Variations and Partial Differential Equations 2024cited by 3position: firstdoi
Maximal $$L_p$$-regularity for x-dependent fractional heat equations with Dirichlet conditions
Mathematische Annalen 2024cited by 1position: firstdoi
Low Mach number limit of a diffuse interface model for two‐phase flows of compressible viscous fluids
GAMM-Mitteilungen 2024cited by 0position: firstdoi
Mixture theory for diffuse interface models of two-phase flows
Journal of Fluid Mechanics 2024cited by 0position: firstdoi
Global regularity and asymptotic stabilization for the incompressible Navier–Stokes-Cahn–Hilliard model with unmatched densities
Mathematische Annalen 2023cited by 20position: firstdoi
Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System with Different Viscosities
SIAM Journal on Mathematical Analysis 2023cited by 13position: firstdoi
Short time existence for coupling of scaled mean curvature flow and diffusion
Journal of Evolution Equations 2023cited by 6position: firstdoi
Qualitative properties for a system coupling scaled mean curvature flow and diffusion
Journal of Differential Equations 2023cited by 5position: firstdoi
Short-time existence of a quasi-stationary fluid–structure interaction problem for plaque growth
Advances in Nonlinear Analysis 2023cited by 3position: firstdoi
Fractional‐order operators on nonsmooth domains
Journal of the London Mathematical Society 2023cited by 2position: firstdoi
On a fluid–structure interaction problem for plaque growth
Nonlinearity 2022cited by 9position: firstdoi
Convergence of a nonlocal to a local diffuse interface model for two-phase flow with unmatched densities
Discrete and Continuous Dynamical Systems - S 2022cited by 9position: firstdoi
On a fluid-structure interaction problem for plaque growth: cylindrical domain
Journal of Differential Equations 2022cited by 5position: firstdoi
Convergence of thin vibrating rods to a linear beam equation
Zeitschrift für angewandte Mathematik und Physik 2022cited by 3position: firstdoi
Large times existence for thin vibrating rods
Asymptotic Analysis 2022cited by 2position: firstdoi
(Non-)convergence of solutions of the convective Allen–Cahn equation
Partial Differential Equations and Applications 2021cited by 15position: firstdoi
Sharp Interface Limit of a Stokes/Cahn–Hilliard System, Part II: Approximate Solutions
University of Regensburg Publication Server (University of Regensburg) 2021cited by 10position: firstdoi
Sharp interface limit of a Stokes/Cahn–Hilliard system. Part I: Convergence result
Interfaces and Free Boundaries Mathematical Analysis Computation and Applications 2021cited by 2position: firstdoi
Standard planar double bubbles are dynamically stable under surface diffusion flow
Communications in Analysis and Geometry 2021cited by 2position: firstdoi
Invariance of the Fredholm index and spectrum of non-smooth pseudodifferential operators
Analysis and Applications 2021cited by 0position: firstdoi
Convergence of the Allen-Cahn equation with a nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle close to $90${\deg}.
arXiv (Cornell University) 2021cited by 0position: first

Grants

No grants ingested yet.

Frequent collaborators

Harald Garcke · University of Regensburg17 papers (2014–2025) · 6 papers (2013–2022)Yuning Liu · University of Regensburg5 papers (2013–2018)Maximilian Moser · University of Regensburg5 papers (2019–2025)Christine Pfeuffer · University of Regensburg5 papers (2016–2021)Josef Weber · University of Regensburg4 papers (2016–2020)Yadong Liu · Nanjing Normal University4 papers (2022–2024)Kei-Fong Lam · University of Regensburg3 papers (2015–2017)Nasrin Arab · University of Regensburg3 papers (2014–2021)Andreas Marquardt · Johannes Gutenberg University Mainz3 papers (2020–2021) · 3 papers (2024–2026) · 3 papers (2014–2024)Lars Peter Müller · Johannes Gutenberg University Mainz3 papers (2014–2015)Stefan Schaubeck · University of Regensburg3 papers (2015–2016)Lars Diening · Ludwig-Maximilians-Universität München3 papers (2013–2016) · 2 papers (2013–2014)Christiane Kraus · LMU Klinikum2 papers (2018–2019)Felicitas Bürger · University of Regensburg2 papers (2023–2023)Georg Dolzmann · University of Regensburg2 papers (2013–2014) · 2 papers (2018–2019)
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