688 citations
- University of OxfordGB15 papers
- Rutherford Appleton LaboratoryGB14 papers
- Centre National de la Recherche ScientifiqueFR13 papers
- University College LondonGB11 papers
- Imperial College LondonGB10 papers
- Universität HamburgDE10 papers
- Goddard Space Flight CenterUS9 papers
- University of HelsinkiFI9 papers
- Sorbonne UniversitéFR8 papers
- University of CambridgeGB7 papers
- University of LeicesterGB7 papers
- ETH ZurichCH6 papers
6 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…
Minimisers of supremal functionals and mass-minimising 1-currents
Nikos Katzourakis, Roger Moser
We study vector-valued functions that minimise the -norm of their derivatives for prescribed boundary data. We construct a vector-valued, mass minimising -current (i.e…
Variational problems in involving semilinear second order differential operators
Nikos Katzourakis, Roger Moser
For an elliptic, semilinear differential operator of the form , consider the functional . We st…
Analysis of a two-layer energy balance model: long time behaviour and greenhouse effect
Piermarco Cannarsa, Valerio Lucarini, Patrick Martinez +2
We study a two-layer energy balance model, that allows for vertical exchanges between a surface layer and the atmosphere. The evolution equations of the surface temperature and the…
Duality between range and no-response tests and its application for inverse problems
Yi-Hsuan Lin, Gen Nakamura, Roland Potthast +1
In this paper we will show the duality between the range test (RT) and no-response test (NRT) for the inverse boundary value problem for the Laplace equation in $Ω\setminus\overlin…
Existence and Uniqueness of Global Solutions to Fully Nonlinear First Order Elliptic Systems
Nikos Katzourakis
Let be a Caratheodory map. In this paper we consider the problem of existence and uniqueness of weakly dif…