Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities H Abels, H Garcke, G Grün Mathematical Models and Methods in Applied Sciences 22 (03), 1150013, 2012 | 517 | 2012 |

On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities H Abels Archive for rational mechanics and analysis 194 (2), 463-506, 2009 | 298 | 2009 |

Convergence to equilibrium for the Cahn–Hilliard equation with a logarithmic free energy H Abels, M Wilke Nonlinear Analysis: Theory, Methods & Applications 67 (11), 3176-3193, 2007 | 164 | 2007 |

On a diffuse interface model for a two-phase flow of compressible viscous fluids H Abels, E Feireisl Indiana University mathematics journal, 659-698, 2008 | 130 | 2008 |

Pseudodifferential and singular integral operators: an introduction with applications H Abels Walter de Gruyter, 2011 | 127 | 2011 |

Existence of weak solutions for a diffuse interface model for viscous, incompressible fluids with general densities H Abels Communications in Mathematical Physics 289 (1), 45-73, 2009 | 122 | 2009 |

Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities H Abels, D Depner, H Garcke Journal of Mathematical Fluid Mechanics 15, 453-480, 2013 | 115 | 2013 |

On an incompressible Navier–Stokes/Cahn–Hilliard system with degenerate mobility H Abels, D Depner, H Garcke Annales de l'Institut Henri Poincaré C 30 (6), 1175-1190, 2013 | 99 | 2013 |

The initial-value problem for the Navier-Stokes equations with a free surface in -Sobolev spaces H Abels | 90 | 2005 |

On generalized solutions of two-phase flows for viscous incompressible fluids H Abels Interfaces and Free Boundaries 9 (1), 31-65, 2007 | 89 | 2007 |

A phase-field model for fluid–structure interaction D Mokbel, H Abels, S Aland Journal of computational physics 372, 823-840, 2018 | 74 | 2018 |

Well-posedness of a fully coupled Navier--Stokes/Q-tensor system with inhomogeneous boundary data H Abels, G Dolzmann, YN Liu SIAM Journal on Mathematical Analysis 46 (4), 3050-3077, 2014 | 69 | 2014 |

Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids H Abels, M Röger Annales de l'Institut Henri Poincaré C 26 (6), 2403-2424, 2009 | 62 | 2009 |

Longtime behavior of solutions of a Navier-Stokes/Cahn-Hilliard system H Abels Banach Center Publications 1 (86), 9-19, 2009 | 59 | 2009 |

Diffuse interface models for two-phase flows of viscous incompressible fluids H Abels | 59 | 2008 |

Strong well-posedness of a diffuse interface model for a viscous, quasi-incompressible two-phase flow H Abels SIAM Journal on Mathematical Analysis 44 (1), 316-340, 2012 | 56 | 2012 |

Sharp interface limit for a Stokes/Allen–Cahn system H Abels, Y Liu Archive for Rational Mechanics and Analysis 229 (1), 417-502, 2018 | 52 | 2018 |

Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions H Abels, G Dolzmann, YN Liu | 52 | 2016 |

The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels H Abels, M Kassmann | 52 | 2009 |

Cahn–Hilliard equation with nonlocal singular free energies H Abels, S Bosia, M Grasselli Annali di Matematica Pura ed Applicata (1923-) 194 (4), 1071-1106, 2015 | 51 | 2015 |