Francois Vigneron
Publications
Publications
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Bubble and Profile Decompositions Methods: a common Thread through many Works in Geometry, Physics and Fluid MechanicsMorningside Lectures in Mathematics, 2022, Lectures on the Analysis of Nonlinear Partial Differential Equations, 6 |
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Regularity of solutions of a fractional porous medium equationInterfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2020, 22 (4), pp.401-442. ⟨10.4171/IFB/445⟩ |
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Apprendre Autrement : le point de vue d’un mathématicien sur la création d’un parcours de licenceGazette des Mathématiciens, 2019 |
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Existence of solutions of a non-linear eigenvalue problem with a variable weightJournal of Differential Equations, 2019, 266 (2-3), pp.1488-1513. ⟨10.1016/j.jde.2018.08.001⟩ |
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Analyse fréquentielle du signalImages des mathématiques, 2019 |
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Global Well-Posedness of a Non-local Burgers Equation: the Periodic CaseAnnales de la Faculté des Sciences de Toulouse. Mathématiques., 2016, 25 (4), pp.723-758 |
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A non-linear problem involving a critical Sobolev exponent.Journal of Mathematical Analysis and Applications, 2012, 396 (1), pp.98-107 |
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Free Turbulence on R^3 and T^3Dynamics of Partial Differential Equations, 2010, 7 (2), pp.107-160. ⟨10.4310/DPDE.2010.v7.n2.a1⟩ |
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New Asymptotic Profiles of Nonstationnary Solutions of the Navier-Stokes SystemJournal de Mathématiques Pures et Appliquées, 2007, ⟨10.1016/j.matpur.2007.04.007⟩ |
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On the localization of the magnetic and the velocity fields in the equations of magnetohydrodynamicsProceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2006, 2007 (137), pp.475--495 |
Spatial decay of the velocity field of an incompressible viscous fluid in R^dNonlinear Analysis: Theory, Methods and Applications, 2005, 63, n°4, pp. 525-549 |
The trace problem for Sobolev spaces over the Heisenberg group2006 |
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Construction of Sobolev spaces of fractional order with sub-riemannian vector fields2006 |
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New Asymptotic profiles of nonstationnary solutions of the Navier-Stokes systems2006 |
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Localisation et décroissance des champs de la mécanique des fluides et des plasmas. Espaces fonctionnels associés à une famille de champs de vecteurs.Mathématiques [math]. Ecole Polytechnique X, 2006. Français. ⟨NNT : ⟩ |