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pro vyhledávání: '"Lévy, Guillaume"'
Autor:
Lévy, Guillaume
Cette thèse est consacrée à l'étude de propriétés du laplacien dans trois contextes bien distincts. Dans une première partie, celui-ci nous sera utile pour régulariser des solutions d'équations venues de la mécanique des fluides incompressi
Externí odkaz:
http://www.theses.fr/2017PA066321/document
Autor:
Lévy, Guillaume, Liu, Yanlin
Following the recent papers [9] and [10] by T. Gallay and V. \u{S}ver\'ak, in the line of work initiated by H. Feng and V. \u{S}ver\'ak in their paper [3], we prove the uniqueness of a solution of the axisymmetric Navier-Stokes equations without swir
Externí odkaz:
http://arxiv.org/abs/1801.10353
Autor:
Lévy, Guillaume
In this paper, we investigate the behavior of the Fourier transform on finite dimensional 2-step Lie groups and develop a general theory akin to that of the whole space or the torus. We provide a familiar framework in which computations are made sens
Externí odkaz:
http://arxiv.org/abs/1712.09880
Autor:
Lévy, Guillaume
In this paper, we draw on the ideas of [5] to extend the standard Serrin criterion [17] to an anisotropic version thereof. Because we work on weak solutions instead of strong ones, the functions involved have low regularity. Our method summarizes in
Externí odkaz:
http://arxiv.org/abs/1702.02814
Autor:
Lévy, Guillaume
In this paper, we extend our previous result from [16]. We prove that transport equations with rough coefficients do possess a uniqueness property. Our method relies strongly on duality and bears a strong resemblance with the well-known DiPerna-Lions
Externí odkaz:
http://arxiv.org/abs/1612.04138
Autor:
Band, Ram, Lévy, Guillaume
A finite discrete graph is turned into a quantum (metric) graph once a finite length is assigned to each edge and the one-dimensional Laplacian is taken to be the operator. We study the dependence of the spectral gap (the first positive Laplacian eig
Externí odkaz:
http://arxiv.org/abs/1608.00520
Autor:
Lévy, Guillaume
Publikováno v:
Comptes rendus de l'Acad\'emie des sciences. S\'erie I, Math\'ematique, Elsevier, 2016
In this Note, we study a transport-diffusion equation with rough coefficients and we prove that solutions are unique in a low-regularity class.
Externí odkaz:
http://arxiv.org/abs/1605.04137
Autor:
Lévy, Guillaume
Publikováno v:
In Journal de mathématiques pures et appliquées September 2018 117:123-145
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