Lars Diening, Bianca Stroffolini, Anna Verde (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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We establish a local Lipschitz regularity result for local minimizers of asymptotically convex variational integrals.
Carla L. Dias (2012)
ESAIM: Proceedings
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We discuss the geometric structures defined by Young in [9, 10], which are used to prove the existence of an ergodic absolutely continuous invariant probability measure and to study the decay of correlations in expanding or hyperbolic systems on large parts.
Francisco de la Hoz (2012)
ESAIM: Proceedings
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This paper describes a numerical method for the two-dimensional sine-Gordon equation over a rectangular domain using differentiation matrices, in the theoretical frame of matrix differential equations.
Alina Chertock, Philip Du Toit, Jerrold Eldon Marsden (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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The purpose of this paper is to apply particle methods to the numerical solution of the EPDiff equation. The weak solutions of EPDiff are contact discontinuities that carry momentum so that wavefront interactions represent collisions in which momentum is exchanged. This behavior allows for the description of many rich physical applications, but also introduces difficult numerical challenges. We present a particle method for the EPDiff...