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

4.5k citations

Showing 2017 · math.APShow all

6 papers · 2 filters

math.AP2017

Minimal elastic networks

Anna Dall'Acqua, Matteo Novaga, Alessandra Pluda

We consider planar networks of three curves that meet at two junctions with prescribed equal angles, minimizing a combination of the elastic energy and the length functional. We pr…

math.AP2017★ 65 cited

Critical spaces for quasilinear parabolic evolution equations and applications

Jan Pruess, Gieri Simonett, Mathias Wilke

We present a comprehensive theory of critical spaces for the broad class of quasilinear parabolic evolution equations. The approach is based on maximal -regularity in time-wei…

math.AP2017★ 1 cited

Nontrivial solutions of quasilinear elliptic equations with natural growth term

Marco Degiovanni, Alessandra Pluda

We prove the existence of multiple solutions for a quasilinear elliptic equation containing a term with natural growth, under assumptions that are invariant by diffeomorphism. To t…

math.AP2017★ 22 cited

On critical spaces for the Navier-Stokes equations

Jan Pruess, Mathias Wilke

The abstract theory of critical spaces developed in [22] and [20] is applied to the Navier-Stokes equations in bounded domains with Navier boundary conditions as well as no-slip co…

math.AP2017★ 1 cited

Explicit formula and meromorphic extension of the resolvent for the massive Dirac operator in the Schwarzschild-Anti-de Sitter spacetime

Guillaume Idelon-Riton

We study the resolvent of the massive Dirac operator in the Schwarzschild-Anti-de Sitter space-time. After separation of variables, we use standard one dimensional techniques to ob…

math.AP2017★ 87 cited

A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis

Harald Garcke, Kei Fong Lam, Robert Nürnberg +1

We derive a Cahn-Hilliard-Darcy model to describe multiphase tumour growth taking interactions with multiple chemical species into account as well as the simultaneous occurrence of…