44 citations · 119 across the 15 of their papers we have counts for
15 papers
Conservation, convergence, and computation for evolving heterogeneous elastic wires
Anna Dall'Acqua, Gaspard Jankowiak, Leonie Langer +1
The elastic energy of a bending-resistant interface depends both on its geometry and its material composition. We consider such a heterogeneous interface in the plane, modeled by a…
An obstacle problem for the p-elastic energy
Anna Dall'Acqua, Marius Müller, Shinya Okabe +1
In this paper we consider an obstacle problem for a generalization of the p-elastic energy among graphical curves with fixed ends. Taking into account that the Euler--Lagrange equa…
The Willmore Flow of Tori of Revolution
Anna Dall'Acqua, Marius Müller, Reiner Schätzle +1
We study long-time existence and asymptotic behavior for the -gradient flow of the Willmore energy, under the condition that the initial datum is a torus of revolution. We sho…
Elastic flow of networks: short-time existence result
Anna Dall'Acqua, Chun-Chi Lin, Paola Pozzi
In this paper we study the -gradient flow of the penalized elastic energy on networks of -curves in for . Each curve is fixed at one end-point and at the…
Flow of elastic networks: long-time existence result
Anna Dall'Acqua, Chun-Chi Lin, Paola Pozzi
We provide a long-time existence and sub-convergence result for the elastic flow of a three network in under some mild topological assumptions. The evolution is su…
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…
Some minimization problems for planar networks of elastic curve
Anna Dall'Acqua, Alessandra Pluda
In this note we announce some results that will appear in [6] (joint work with also Matteo Novaga) on the minimization of the functional , where …
The elastic flow of curves in the hyperbolic plane
Anna Dall'Acqua, Adrian Spener
We consider closed curves in the hyperbolic space moving by the -gradient flow of the elastic energy and prove well-posedness and long time existence. Under the additional pen…
The Łojasiewicz-Simon gradient inequality for open elastic curves
Anna Dall'Acqua, Paola Pozzi, Adrian Spener
In this paper we consider the elastic energy for open curves in Euclidean space subject to clamped boundary conditions and obtain the Łojasiewicz-Simon gradient inequality for this…
A new Gershgorin-type result for the localisation of the spectrum of matrices
Anna Dall'Acqua, Delio Mugnolo, Michael Schelling
We present a Gershgorin's type result on the localisation of the spectrum of a matrix. Our method is elementary and relies upon the method of Schur complements, furthermore it outp…
Willmore-Helfrich L^{2}-flow of curves with natural boundary conditions
Anna Dall'Acqua, Paola Pozzi
We consider regular open curves in R^n with fixed boundary points and moving according to the L^{2}-gradient flow for a generalisation of the Helfrich functional. Natural boundary…
Real analyticity of solutions to Schrödinger equations involving fractional Laplacians
Anna Dall'Acqua, Søren Fournais, Thomas Østergaard Sørensen +1
We prove analyticity of solutions in , , to certain nonlocal linear Schrödinger equations with analytic potentials.
Real analyticity away from the nucleus of pseudorelativistic Hartree-Fock orbitals
Anna Dall'Acqua, Søren Fournais, Thomas Østergaard Sørensen +1
We prove that the Hartree--Fock orbitals of pseudorelativistic atoms, that is, atoms where the kinetic energy of the electrons is given by the pseudorelativistic operator sqrt{-Del…
Excess charge for pseudo-relativistic atoms in Hartree-Fock theory
Anna Dall'Acqua, Jan Philip Solovej
We prove within the Hartree-Fock theory of pseudo-relativistic atoms that the maximal negative ionization charge and the ionization energy of an atom remain bounded independently o…
Hartree-Fock theory for pseudorelativistic atoms
Anna Dall'Acqua, Thomas Østergaard Sørensen, Edgardo Stockmeyer
We study the Hartree-Fock model for pseudorelativistic atoms, that is, atoms where the kinetic energy of the electrons is given by the pseudorelativistic operator \sqrt{(pc)^2+(mc^…