Helmut Abels

Professor for Mathematics

University of Regensburg

Germany

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Helmut Abels is a Professor for Mathematics at Universität Regensburg, Germany. His research focuses on mathematical modeling of two-phase flows, well-posedness in fractional heat equations, and the analysis of Navier-Stokes systems. Recent publications include studies on diffuse interface models and their applications in fluid dynamics.

Helmut Abels

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Articles (17)

Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness

Maximal $$L_p$$-regularity for x-dependent fractional heat equations with Dirichlet conditions

Low Mach number limit of a diffuse interface model for two‐phase flows of compressible viscous fluids

Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier–Stokes/Allen–Cahn System

Strong nonlocal-to-local convergence of the Cahn-Hilliard equation and its operator

Mixture theory for diffuse interface models of two-phase flows

Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility

Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System with Different Viscosities

Global regularity and asymptotic stabilization for the incompressible Navier–Stokes-Cahn–Hilliard model with unmatched densities

Short time existence for coupling of scaled mean curvature flow and diffusion

On a fluid–structure interaction problem for plaque growth

Convergence of thin vibrating rods to a linear beam equation

Well-posedness of the Muskat problem in subcritical Lp-Sobolev spaces

Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°

Well-posedness and qualitative behaviour of the Mullins-Sekerka problem with ninety-degree angle boundary contact

Local well-posedness of a quasi-incompressible two-phase flow

Sharp Interface Limit of a Stokes/Cahn–Hilliard System, Part II: Approximate Solutions

Collaborators (3)

Gerd Grubb

Bogdan-Vasile Matioc

Andrea Poiatti

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