Publication

Anomalous dissipation and other non-smooth phenomena in fluids

Publications associées (29)

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Siam Publications2024

Quantitative convergence rates for scaling limit of SPDEs with transport noise

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We consider on the torus the scaling limit of stochastic 2D (inviscid) fluid dynamics equations with transport noise to deterministic viscous equations. Quantitative estimates on the convergence rates are provided by combining analytic and probabilistic ar ...

Academic Press Inc Elsevier Science2024

Noise-induced transitions past the onset of a steady symmetry-breaking bifurcation: The case of the sudden expansion

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We consider fluid flows, governed by the Navier-Stokes equations, subject to a steady symmetry-breaking bifurcation and forced by a weak noise acting on a slow timescale. By generalizing the multiple-scale weakly nonlinear expansion technique employed in t ...

2024

Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis

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The goal of this work is to use anisotropic adaptive finite elements for the numerical simulation of aluminium electrolysis. The anisotropic adaptive criteria are based on a posteriori error estimates derived for simplified problems. First, we consider an ...

EPFL2024

Mean-field transport equations and energy theorem for plasma edge turbulent transport

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Cambridge University Press2024

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In algorithms for solving optimization problems constrained to a smooth manifold, retractions are a well-established tool to ensure that the iterates stay on the manifold. More recently, it has been demonstrated that retractions are a useful concept for ot ...

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Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs

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Springer Birkhauser2024

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Academic Press Inc Elsevier Science2024

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2024

WILD SOLUTIONS TO SCALAR EULER-LAGRANGE EQUATIONS

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. We study very weak solutions to scalar Euler-Lagrange equations associated with quadratic convex functionals. We investigate whether W1,1 solutions are necessarily W 1,2 Nash and Schauder applicable. We answer this question positively for a suitable clas ...

Amer Mathematical Soc2024

Probabilistic and Deterministic Wellposedness for Low Regularity Dispersive Equations

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EPFL2024

Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

Jan Sickmann Hesthaven, Niccolo' Discacciati

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Elsevier Science Sa2024

Nonlinear simulation of plasma turbulence using a gyrokinetic moment-based approach

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Plasma turbulence plays a fundamental role in determining the performances of magnetic confinement fusion devices, such as tokamaks. Advances in computer science, combined with the development of efficient physical models, have significantly improved our u ...

EPFL2024

Instability and trajectories of buoyancy-driven annular disks: A numerical study

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Amer Physical Soc2024

Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise

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Springernature2024

Full-F turbulent simulation in a linear plasma device using a gyro-moment approach

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Aip Publishing2024

Residual-based attention in physics-informed neural networks

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Elsevier Science Sa2024

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2024