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 | 494 | 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 | 283 | 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 | 158 | 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 | 126 | 2008 |
Pseudodifferential and singular integral operators: an introduction with applications H Abels Walter de Gruyter, 2011 | 121 | 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 | 119 | 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 | 112 | 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 | 96 | 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 | 85 | 2007 |
A phase-field model for fluid–structure interaction D Mokbel, H Abels, S Aland Journal of computational physics 372, 823-840, 2018 | 69 | 2018 |
Well-posedness of a fully coupled Navier--Stokes/Q-tensor system with inhomogeneous boundary data H Abels, G Dolzmann, Y Liu SIAM Journal on Mathematical Analysis 46 (4), 3050-3077, 2014 | 66 | 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 | 61 | 2009 |
Diffuse interface models for two-phase flows of viscous incompressible fluids H Abels | 58 | 2008 |
Longtime behavior of solutions of a Navier-Stokes/Cahn-Hilliard system H Abels Banach Center Publications 1 (86), 9-19, 2009 | 57 | 2009 |
The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels H Abels, M Kassmann | 53 | 2009 |
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 | 52 | 2012 |
On Stokes operators with variable viscosity in bounded and unbounded domains H Abels, Y Terasawa Mathematische Annalen 344 (2), 381-429, 2009 | 51 | 2009 |
Sharp interface limit for a Stokes/Allen–Cahn system H Abels, Y Liu Archive for Rational Mechanics and Analysis 229 (1), 417-502, 2018 | 50 | 2018 |
Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions H Abels, G Dolzmann, YN Liu | 48 | 2016 |