107 citations
- Centre National de la Recherche ScientifiqueFR120 papers
- Université Savoie Mont BlancFR82 papers
- Le LAMAFR69 papers
- Laboratoire de Mathématiques Blaise PascalFR30 papers
- Laboratoire Jean-Alexandre DieudonnéFR14 papers
- Laboratoire de Probabilités, Statistique et ModélisationFR13 papers
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- University College DublinIE12 papers
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5 papers · 1 filter
Mixing Estimates for Passive Scalar Transport by Vector Fields
Lucas Huysmans, Ayman Rimah Said
We prove a quantitative mixing estimate for the Cauchy problem for transport along divergence-free vector fields with bounded variation. By developing a framework that quantifies A…
Gluing methods for quantitative stability of optimal transport maps
Cyril Letrouit, Quentin Mérigot
We establish quantitative stability bounds for the quadratic optimal transport map between a fixed probability density and a probability measure on . Un…
A Unified Approach to Mixing and Regularity for Passive Scalar Transport by Sobolev Vector Fields
Lucas Huysmans, Ayman Rimah Said
We develop a new framework for quantitative estimates of passive scalar transport along Sobolev vector fields in , when . Our approach is based on Christ-Journé singu…
Derivation of the homogeneous kinetic wave equation: longer time scales
Charles Collot, Pierre Germain
We consider the nonlinear Schrödinger equation set on a flat torus, in the regime which is conjectured to lead to the kinetic wave equation; in particular, the data are random, and…
Derivation of an intermediate viscous Serre-Green-Naghdi equation
Denys Dutykh, Hervé Le Meur
In this note we present the current status of the derivation of a viscous Serre-Green-Naghdi system. For this goal, the flow domain is separated into two regions. The upper region…