Francois Vigneron

26
Documents

Publications

Publications

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Bubble and Profile Decompositions Methods: a common Thread through many Works in Geometry, Physics and Fluid Mechanics

Hajer Bahouri , Zeyu Lyu , Francois Vigneron

Morningside Lectures in Mathematics, 2022, Lectures on the Analysis of Nonlinear Partial Differential Equations, 6

Article dans une revue hal-03404992v1
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Regularity of solutions of a fractional porous medium equation

Cyril Imbert , Rana Tarhini , François Vigneron

Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2020, 22 (4), pp.401-442. ⟨10.4171/IFB/445⟩

Article dans une revue hal-02301369v1
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Apprendre Autrement : le point de vue d’un mathématicien sur la création d’un parcours de licence

François Vigneron

Gazette des Mathématiciens, 2019

Article dans une revue hal-02350951v1
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Existence of solutions of a non-linear eigenvalue problem with a variable weight

Rejeb Hadiji , François Vigneron

Journal of Differential Equations, 2019, 266 (2-3), pp.1488-1513. ⟨10.1016/j.jde.2018.08.001⟩

Article dans une revue hal-01914484v1
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Analyse fréquentielle du signal

Hajer Bahouri , François Vigneron

Images des mathématiques, 2019

Article dans une revue hal-02350738v1
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Global Well-Posedness of a Non-local Burgers Equation: the Periodic Case

Cyril Imbert , Roman Shvydkoy , Francois Vigneron

Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2016, 25 (4), pp.723-758

Article dans une revue hal-01160752v1
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A non-linear problem involving a critical Sobolev exponent.

Soohyun Bae , Rejeb Hadiji , Francois Vigneron , Habib Yazidi

Journal of Mathematical Analysis and Applications, 2012, 396 (1), pp.98-107

Article dans une revue hal-00794199v1
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Free Turbulence on R^3 and T^3

Francois Vigneron

Dynamics of Partial Differential Equations, 2010, 7 (2), pp.107-160. ⟨10.4310/DPDE.2010.v7.n2.a1⟩

Article dans une revue hal-00733839v1

New Asymptotic Profiles of Nonstationnary Solutions of the Navier-Stokes System

Lorenzo Brandolese , Francois Vigneron

Journal de Mathématiques Pures et Appliquées, 2007, ⟨10.1016/j.matpur.2007.04.007⟩

Article dans une revue hal-00155015v1
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On the localization of the magnetic and the velocity fields in the equations of magnetohydrodynamics

Lorenzo Brandolese , François Vigneron

Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2006, 2007 (137), pp.475--495

Article dans une revue hal-00022736v1

Spatial decay of the velocity field of an incompressible viscous fluid in R^d

François Vigneron

Nonlinear Analysis: Theory, Methods and Applications, 2005, 63, n°4, pp. 525-549

Article dans une revue hal-00021439v1
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Membrane Deformation – Finite Elements – Parametric Shape Optimization on the Koch Snowflake

Nizar Riane , Claire David , François Vigneron

2026

Pré-publication, Document de travail hal-04960644v4
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Factorization of the quadratic Misiurewicz-Thurston polynomials

Nicolae Mihalache , François Vigneron

2025

Pré-publication, Document de travail hal-05124006v1
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Root certification using disk arithmetic

Nicolae Mihalache , François Vigneron

2025

Pré-publication, Document de travail hal-05133461v1
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How to split a tera-polynomial

François Vigneron , Nicolae Mihalache

2024

Pré-publication, Document de travail hal-04448008v2
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A short ODE proof of the Fundamental Theorem of Algebra

Ramona Anton , Nicolae Mihalache , François Vigneron

2023

Pré-publication, Document de travail hal-04061835v1
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Fast Evaluation of Real and Complex Polynomials

Ramona Anton , Nicolae Mihalache , François Vigneron

2022

Pré-publication, Document de travail hal-03820369v1
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On some properties of the curl operator and their consequences for the Navier-Stokes system

Nicolas Lerner , François Vigneron

2022

Pré-publication, Document de travail hal-03608428v1
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Variation on a theme by Kiselev and Nazarov: Hölder estimates for non-local transport-diffusion, along a non-divergence-free BMO field

Ioann Vasilyev , François Vigneron

2020

Pré-publication, Document de travail hal-02490834v1
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A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields

François Vigneron

2019

Pré-publication, Document de travail hal-02266609v1
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On the Wiener-Khinchin transform of functions that behave as approximate power-laws. Applications to fluid turbulence

Francois Vigneron

2019

Pré-publication, Document de travail hal-02284557v1
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Multifractal Analysis of functions on the Heisenberg Group

Stephane Seuret , François Vigneron

2013

Pré-publication, Document de travail hal-00801722v1