Strong Well-posedness of a Diffuse Interface Model for a Viscous, Quasi-incompressible Two-phase Flow. - Helmut Abels (SIAM J. Math. Anal., 2012)

Well-Posedness of a Fully Coupled Navier-Stokes/Q-tensor System with Inhomogeneous Boundary Data. - Helmut Abels; Georg Dolzmann; YuNing Liu (SIAM J. Math. Anal., 2014)

Sharp interface limit for the Cahn-Larché system. - Helmut Abels; Stefan Schaubeck (Asymptot. Anal., 2015)

Analysis of the Diffuse Domain Approach for a Bulk-Surface Coupled PDE System. - Helmut Abels; Kei Fong Lam; Björn Stinner (SIAM J. Math. Anal., 2015)

A phase-field model for fluid-structure interaction. - Dominic Mokbel; Helmut Abels; Sebastian Aland (J. Comput. Phys., 2018)

Pressure reconstruction for weak solutions of the two-phase incompressible Navier-Stokes equations with surface tension. - Helmut Abels; Johannes Daube; Christiane Kraus (Asymptot. Anal., 2019)

A Blow-up Criterion for the Curve Diffusion Flow with a Contact Angle. - Helmut Abels; Julia Butz (SIAM J. Math. Anal., 2020)

Convergence of the Allen-Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°. - Helmut Abels; Maximilian Moser (SIAM J. Math. Anal., 2022)

Sharp Interface Limit for a Navier-Stokes/Allen-Cahn System with Different Viscosities. - Helmut Abels; Mingwen Fei (SIAM J. Math. Anal., 2023)