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19922026
most citedCP2K: An Electronic Structure and Molecular Dynamics Software Package -- Quickstep: Efficient and Accurate Electronic Structure Calculations

4.5k citations

Showing 2013 · math.APShow all

5 papers · 2 filters

math.AP2013

Cahn-Hilliard Equation with Nonlocal Singular Free Energies

Helmut Abels, Stefano Bosia, Maurizio Grasselli

We consider a Cahn-Hilliard equation which is the conserved gradient flow of a nonlocal total free energy functional. This functional is characterized by a Helmholtz free energy de…

math.AP2013★ 1 cited

Well-posedness of a fully-coupled Navier-Stokes/Q-tensor system with inhomogeneous boundary data

Helmut Abels, Georg Dolzmann, YuNing Liu

We prove short-time well-posedness and existence of global weak solutions of the Beris--Edwards model for nematic liquid crystals in the case of a bounded domain with inhomogeneous…

math.AP2013

Asymptotic spectral analysis in semiconductor nanowire heterostructures

Carolin Kreisbeck, Luísa Mascarenhas

Mathematical settings in which heterogeneous structures affect electron transport through a tube-shaped quantum waveguide are studied, highlighting the interaction between heteroge…

math.AP2013★ 1 cited

The canonical trace and the noncommutative residue on the noncommutative torus

Cyril Levy, Carolina Neira Jiménez, Sylvie Paycha

Using a global symbol calculus for pseudodifferential operators on tori, we build a canonical trace on classical pseudodifferential operators on noncommutative tori in terms of a c…

math.AP2013

Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows

Helmut Abels, Lars Diening, Yutaka Terasawa

We consider a phase field model for the flow of two partly miscible incompressible, viscous fluids of Non-Newtonian (power law) type. In the model it is assumed that the densities…