Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Thomas Gallouët"'
Publikováno v:
Archive for Rational Mechanics and Analysis
Archive for Rational Mechanics and Analysis, Springer Verlag, In press, ⟨10.1007/s00205-019-01453-x⟩
Archive for Rational Mechanics and Analysis, In press, ⟨10.1007/s00205-019-01453-x⟩
Archive for Rational Mechanics and Analysis, Springer Verlag, In press, ⟨10.1007/s00205-019-01453-x⟩
Archive for Rational Mechanics and Analysis, In press, ⟨10.1007/s00205-019-01453-x⟩
We study the geodesic problem on the group of diffeomorphism of a domain $$M\subset {\mathbb {R}}^d$$, equipped with the $$H(\mathrm {div})$$ metric. The geodesic equations coincide with the Camassa–Holm equation when $$d=1$$, and represent one of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::953db3a7fac595c50694ce71fb892908
https://hal.archives-ouvertes.fr/hal-01815531
https://hal.archives-ouvertes.fr/hal-01815531
Publikováno v:
Numerische Mathematik
Numerische Mathematik, 2020, 146 (3), pp 437-480. ⟨10.1007/s00211-020-01153-9⟩
Numerische Mathematik, Springer Verlag, 2020, 146 (3), pp 437-480. ⟨10.1007/s00211-020-01153-9⟩
Numerische Mathematik, 2020, 146 (3), pp 437-480. ⟨10.1007/s00211-020-01153-9⟩
Numerische Mathematik, Springer Verlag, 2020, 146 (3), pp 437-480. ⟨10.1007/s00211-020-01153-9⟩
International audience; We propose a variational finite volume scheme to approximate the solutions to Wasserstein gradient flows. The time discretization is based on an implicit linearization of the Wasserstein distance expressed thanks to Benamou-Br
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61afd0813a40fd481508629578295f67
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, 2018, 264 (7), ⟨10.1016/j.jde.2017.12.008⟩
Journal of Differential Equations, Elsevier, 2018, 264 (7), ⟨10.1016/j.jde.2017.12.008⟩
Journal of Differential Equations, 2018, 264 (7), ⟨10.1016/j.jde.2017.12.008⟩
Journal of Differential Equations, Elsevier, 2018, 264 (7), ⟨10.1016/j.jde.2017.12.008⟩
The group of diffeomorphisms of a compact manifold endowed with the L^2 metric acting on the space of probability densities gives a unifying framework for the incompressible Euler equation and the theory of optimal mass transport. Recently, several a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ddf507b3e333dd6b568fb9d59d267e3
https://hal.science/hal-01363647
https://hal.science/hal-01363647
Publikováno v:
European Journal of Applied Mathematics
European Journal of Applied Mathematics, 2019, 30 (6), pp.1123-1152. ⟨10.1017/S0956792518000633⟩
European Journal of Applied Mathematics, Cambridge University Press (CUP), 2019, 30 (6), pp.1123-1152. ⟨10.1017/S0956792518000633⟩
European Journal of Applied Mathematics, 2019, 30 (6), pp.1123-1152. ⟨10.1017/S0956792518000633⟩
European Journal of Applied Mathematics, Cambridge University Press (CUP), 2019, 30 (6), pp.1123-1152. ⟨10.1017/S0956792518000633⟩
The Wasserstein gradient flow structure of the partial differential equation system governing multiphase flows in porous media was recently highlighted in Cancès et al. [Anal. PDE10(8), 1845–1876]. The model can thus be approximated by means of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de66c3e06d8eeca839a489caf82d7e4a
http://arxiv.org/abs/1802.01321
http://arxiv.org/abs/1802.01321
Autor:
Thomas Gallouët, Quentin Mérigot
Publikováno v:
Foundations of Computational Mathematics
Foundations of Computational Mathematics, 2018, 18, pp.835-865. ⟨10.1007/s10208-017-9355-y⟩
Foundations of Computational Mathematics, Springer Verlag, 2018, 18, pp.835-865. ⟨10.1007/s10208-017-9355-y⟩
Foundations of Computational Mathematics, 2018, 18, pp.835-865. ⟨10.1007/s10208-017-9355-y⟩
Foundations of Computational Mathematics, Springer Verlag, 2018, 18, pp.835-865. ⟨10.1007/s10208-017-9355-y⟩
International audience; We approximate the regular solutions of the incompressible Euler equations by the solution of ODEs on finite-dimensional spaces. Our approach combines Arnold's interpretation of the solution of the Euler equations for incompre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f43faab34f6a71d639ad1d29f441ae6
https://hal.science/hal-01425826v2/document
https://hal.science/hal-01425826v2/document
Publikováno v:
Foundations of Computational Mathematics
Foundations of Computational Mathematics, 2019, ⟨10.1007/s10208-019-09425-z⟩
Foundations of Computational Mathematics, Springer Verlag, 2019, ⟨10.1007/s10208-019-09425-z⟩
Foundations of Computational Mathematics, 2019, ⟨10.1007/s10208-019-09425-z⟩
Foundations of Computational Mathematics, Springer Verlag, 2019, ⟨10.1007/s10208-019-09425-z⟩
International audience; On the space of probability densities, we extend the Wasserstein geodesics to the case of higher-order interpolation such as cubic spline interpolation. After presenting the natural extension of cubic splines to the Wasserstei
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc62cd9ca4f240e6ce2267e7b5c04772
Publikováno v:
SIAM Journal on Mathematical Analysis. 47:969-1000
Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma--Trudinger--Wang condition implies the convexity of injectivity domains. This improves a previous result by Loeper and Villani.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1c06c0529b764094d8be2d5ed6dd0a3
https://doi.org/10.1137/140961821
https://doi.org/10.1137/140961821
Autor:
Thomas Gallouët, Léonard Monsaingeon
Publikováno v:
SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2017, 49(2)
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2017, 49(2)
In this article we set up a splitting variant of the JKO scheme in order to handle gradient flows with respect to the Kantorovich-Fisher-Rao metric, recently introduced and defined on the space of positive Radon measure with varying masses. We perfor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fea6cfd8781476c04f27b48bbb9e5e6c
https://hal.archives-ouvertes.fr/hal-01273849
https://hal.archives-ouvertes.fr/hal-01273849
Autor:
Thomas Gallouët, Vincent Calvez
Publikováno v:
Applied Mathematics and Optimization
Applied Mathematics and Optimization, Springer Verlag (Germany), 2017
Applied Mathematics and Optimization, 2017, ⟨10.1007/s00245-017-9443-z⟩
Applied Mathematics & Optimization
Applied Mathematics and Optimization, Springer Verlag (Germany), 2017
Applied Mathematics and Optimization, 2017, ⟨10.1007/s00245-017-9443-z⟩
Applied Mathematics & Optimization
International audience; We investigate gradient flows of some homogeneous functionals in R^N , arising in the Lagrangian approximation of systems of self-interacting and diffusing particles. We focus on the case of negative homogeneity. In the case o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3147e0adea037e2f0033eb5b86981426
https://hal.archives-ouvertes.fr/hal-01286518
https://hal.archives-ouvertes.fr/hal-01286518
Publikováno v:
Analysis & PDE
Analysis & PDE, Mathematical Sciences Publishers, 2017, 10 (8), pp.1845-1876. ⟨10.2140/apde.2017.10.1845⟩
Analysis & PDE, 2017, 10 (8), pp.1845-1876. ⟨10.2140/apde.2017.10.1845⟩
Anal. PDE 10, no. 8 (2017), 1845-1876
Analysis & PDE, Mathematical Sciences Publishers, 2017, 10 (8), pp.1845-1876. ⟨10.2140/apde.2017.10.1845⟩
Analysis & PDE, 2017, 10 (8), pp.1845-1876. ⟨10.2140/apde.2017.10.1845⟩
Anal. PDE 10, no. 8 (2017), 1845-1876
International audience; We describe the competitive motion of (N + 1) incompressible immiscible phases within a porous medium as the gradient flow of a singular energy in the space of non-negative measures with prescribed mass endowed with some tenso
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0f5fc90b5731cf3cbc7a86d4ba9ad31
https://hal.archives-ouvertes.fr/hal-01345438
https://hal.archives-ouvertes.fr/hal-01345438