957 citations
- Maxwell Institute for Mathematical SciencesGB105 papers
- Centre National de la Recherche ScientifiqueFR23 papers
- University of EdinburghGB22 papers
- University of OxfordGB19 papers
- University of GlasgowGB16 papers
- Heriot-Watt University MalaysiaMY15 papers
- Imperial College LondonGB13 papers
- University College LondonGB11 papers
- University of CambridgeGB11 papers
- Leibniz University HannoverDE10 papers
- University of GothenburgSE10 papers
- Vilnius UniversityLT10 papers
10 papers · 1 filter
Semi-discrete optimal transport techniques for the compressible semi-geostrophic equations
David P. Bourne, Charlie P. Egan, Théo Lavier +1
We prove existence of weak solutions of the 3D compressible semi-geostrophic (SG) equations with compactly supported measure-valued initial data. These equations model large-scale…
Explicit minimisers for anisotropic Riesz energies
Rupert L. Frank, Joan Mateu, Maria Giovanna Mora +3
In this paper we describe explicitly the energy minimisers of a class of nonlocal interaction energies where the attraction is quadratic, and the repulsion is Riesz-like and anisot…
On action rate admissibility criteria
Heiko Gimperlein, Michael Grinfeld, Robin J. Knops +1
We formulate new admissibility criteria for initial value problems motivated by the least action principle. These are applied to a two-dimensional Riemann initial value problem for…
On boundary conditions for linearised Einstein's equations
Matteo Capoferri, Simone Murro, Gabriel Schmid
We investigate the properties of a fairly large class of boundary conditions for the linearised Einstein equations in the Riemannian setting, ones which generalise the linearised c…
Existence and uniqueness for a coupled parabolic-hyperbolic model of MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
Local well-posedness for a nonlinear parabolic-hyperbolic coupled system modelling Micro-Electro-Mechanical System (MEMS) is studied. The particular device considered is a simple c…
Quenching for a semi-linear wave equation for MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
We consider the formation of finite-time quenching singularities for solutions of semi-linear wave equations with negative power nonlinearities, as can model micro-electro-mechanic…