2.9k citations
- Centre National de la Recherche ScientifiqueFR147 papers
- University of OxfordGB114 papers
- University of CambridgeGB88 papers
- Max Planck Institute for Extraterrestrial PhysicsDE84 papers
- University of BristolGB80 papers
- University College LondonGB78 papers
- Center for Astrophysics Harvard & SmithsonianUS72 papers
- Space Telescope Science InstituteUS72 papers
- National Institute for AstrophysicsIT71 papers
- University of EdinburghGB69 papers
- University of WarwickGB69 papers
- University of CopenhagenDK63 papers
6 papers · 2 filters
Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells
Peter Hornung, Marta Lewicka, Mohammad Reza Pakzad
We perform a detailed analysis of first order Sobolev-regular infinitesimal isometries on developable surfaces without affine regions. We prove that given enough regularity of the…
Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations
Marco Di Francesco, Daniel Matthes
We consider a nonlinear degenerate convection-diffusion equation with inhomogeneous convection and prove that its entropy solutions in the sense of Kružkov are obtained as the - a…
On the stability of travelling waves with vorticity obtained by minimisation
B. Buffoni, G. R. Burton
We modify the approach of Burton and Toland [Comm. Pure Appl. Math. (2011)] to show the existence of periodic surface water waves with vorticity in order that it becomes suited to…
Nonlinear stabilitty for steady vortex pairs
Geoffrey R. Burton, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes
In this article, we prove nonlinear orbital stability for steadily translating vortex pairs, a family of nonlinear waves that are exact solutions of the incompressible, two-dimensi…
Conservative-dissipative approximation schemes for a generalized Kramers equation
Manh Hong Duong, Mark A. Peletier, Johannes Zimmer
We propose three new discrete variational schemes that capture the conservative-dissipative structure of a generalized Kramers equation. The first two schemes are single-step minim…
Large deviations and gradient flows
Stefan Adams, Nicolas Dirr, Mark A. Peletier +1
In recent work [1] we uncovered intriguing connections between Otto's characterisation of diffusion as entropic gradient flow [16] on one hand and large-deviation principles descri…