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20112025
most citedGlobal Tracking and Quantification of Oil and Gas Methane Emissions from Recurrent Sentinel-2 Imagery

97 citations

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14 papers · 1 filter

math.AP2025

Global well-posedness of a 2D fluid-structure interaction problem with free surface

Thomas Alazard, Chengyang Shao, Haocheng Yang

This paper is devoted to the analysis of the incompressible Euler equation in a time-dependent fluid domain, whose interface evolution is governed by the law of linear elasticity.…

math.AP2024

Cauchy Problem for Cylinder-like Capillary Jets

Haocheng Yang

The motion of liquid jets plays an important role in physics and engineering, and needs rigorous mathematical investigations. Recently, Huang-Karakhanyan proved the first local wel…

math.AP2024

Paralinearization of free boundary problems in fluid dynamics

Thomas Alazard

A classical topic in the mathematical theory of hydrodynamics is to study the evolution of the free surface separating air from an incompressible perfect fluid. The goal of this su…

math.AP2023

Microlocal Partition of Energy for Fractional-Type Dispersive Equations

Haocheng Yang

This paper is devoted to the proof of microlocal partition of energy for fractional-type dispersive equations including Schrödinger equation, linearized gravity or capillary water-…

math.AP2023★ 1 cited

Virial theorems and equipartition of energy for water-waves

Thomas Alazard, Claude Zuily

We study several different aspects of the energy equipartition principle for water waves. We prove a virial identity that implies that the potential energy is equal, on average, to…

math.AP2022

Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension

Thomas Alazard, Martina Magliocca, Nicolas Meunier

We study an incompressible Darcy's free boundary problem, recently introduced in [22]. Our goal is to prove the existence of non-trivial traveling wave solutions and thus validate…