Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Anne de Bouard"'
Autor:
Anne de Bouard, Erika Hausenblas
Publikováno v:
Australian Journal of Mathematical Analysis and Applications
Australian Journal of Mathematical Analysis and Applications, Austral Internet Publishing, 2019, 475 (1), pp.215-252. ⟨10.1016/j.jmaa.2019.02.036⟩
Australian Journal of Mathematical Analysis and Applications, Austral Internet Publishing, 2019, 475 (1), pp.215-252. ⟨10.1016/j.jmaa.2019.02.036⟩
The main result of the paper is the existence of a martingale solution of the nonlinear Schrodinger equation with a Levy noise with infinite activity. To be more precise, let A = Δ be the Laplace operator with D ( A ) = { u ∈ L 2 ( R d ) : Δ u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f640f3865fc63098c91aee3c4dc4d8b3
https://hal.archives-ouvertes.fr/hal-02388379
https://hal.archives-ouvertes.fr/hal-02388379
Publikováno v:
Nonlinear Differential Equations and Applications
Nonlinear Differential Equations and Applications, Springer Verlag, 2019, 26 (3), ⟨10.1007/s00030-019-0569-3⟩
Nonlinear Differential Equations and Applications, Springer Verlag, 2019, 26 (3), ⟨10.1007/s00030-019-0569-3⟩
In a recent paper by the first two authors, existence of martingale solutions to a stochastic nonlinear Schrodinger equation driven by a Levy noise was proved. In this paper, we prove pathwise uniqueness, uniqueness in law and existence of strong sol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::769c3cd668ccb82e44bcc2dcc807ed24
https://hal.archives-ouvertes.fr/hal-02388375
https://hal.archives-ouvertes.fr/hal-02388375
Publikováno v:
Nonlinearity
Nonlinearity, IOP Publishing, In press, ⟨10.1088/1361-6544/ac022e⟩
Nonlinearity, IOP Publishing, In press, ⟨10.1088/1361-6544/ac022e⟩
We investigate existence and uniqueness for the stochastic liquid crystal flow driven by colored noise on the two-dimensional torus. After giving a natural uniqueness criterion, we prove local solvability in $L^p$-based spaces, for every $p>2.$ Thank
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31599f863a295b767b5798d48a883fef
http://arxiv.org/abs/1902.05921
http://arxiv.org/abs/1902.05921
Publikováno v:
Stochastics and Partial Differential Equations: Analysis and Computations
Stochastics and Partial Differential Equations: Analysis and Computations, 2021, Stochastic Partial Differential Equations. Analysis and Computations, 9 (4), pp.789-818. ⟨10.1007/s40072-020-00185-4⟩
Stochastics and Partial Differential Equations: Analysis and Computations, Springer US, 2021, Stochastic Partial Differential Equations. Analysis and Computations, 9 (4), pp.789-818. ⟨10.1007/s40072-020-00185-4⟩
Stochastics and Partial Differential Equations: Analysis and Computations, 2021, Stochastic Partial Differential Equations. Analysis and Computations, 9 (4), pp.789-818. ⟨10.1007/s40072-020-00185-4⟩
Stochastics and Partial Differential Equations: Analysis and Computations, Springer US, 2021, Stochastic Partial Differential Equations. Analysis and Computations, 9 (4), pp.789-818. ⟨10.1007/s40072-020-00185-4⟩
International audience; Following the ideas of V. V. Zhikov and A. L. Pyatnitski, and more precisely the stochastic two-scale convergence, this paper establishes a homogenization theorem in a stochastic setting for two nonlinear equations : the equat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f53d3dd2dcbbf9dc2ea5fa979d1d8061
Publikováno v:
ESAIM: Proceedings and Surveys
ESAIM: Proceedings and Surveys, EDP Sciences, 2018, 61, pp.55-67. ⟨10.1051/proc/201861055⟩
ESAIM: Proceedings and Surveys, Vol 61, Pp 55-67 (2018)
ESAIM: Proceedings and Surveys, 2018, 61, pp.55-67. ⟨10.1051/proc/201861055⟩
ESAIM: Proceedings and Surveys, EDP Sciences, 2018, 61, pp.55-67. ⟨10.1051/proc/201861055⟩
ESAIM: Proceedings and Surveys, Vol 61, Pp 55-67 (2018)
ESAIM: Proceedings and Surveys, 2018, 61, pp.55-67. ⟨10.1051/proc/201861055⟩
International audience; The modeling of cold atoms systems has known an increasing interest in the theoretical physics community, after the first experimental realizations of Bose Einstein condensates, some twenty years ago. We here review some analy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0ba8bb4ba4aa36ac0b7735e499f294a
https://hal.archives-ouvertes.fr/hal-02347373
https://hal.archives-ouvertes.fr/hal-02347373
Publikováno v:
Discrete and Continuous Dynamical Systems - Series B. 20:2793-2817
The aim of this paper is to perform a theoretical and numerical study on the dynamics of vortices in Bose-Einstein condensation in the case where the trapping potential varies randomly in time. We take a deterministic vortex solution as an initial co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5a183f3a13bc65aec6025ef63882848
https://doi.org/10.3934/dcdsb.2015.20.2793
https://doi.org/10.3934/dcdsb.2015.20.2793
Publikováno v:
SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2018, 50 (6), pp.5887-5920. ⟨10.1137/17M1149195⟩
SIAM Journal on Mathematical Analysis, 2018, 50 (6), pp.5887-5920. ⟨10.1137/17M1149195⟩
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2018, 50 (6), pp.5887-5920. ⟨10.1137/17M1149195⟩
SIAM Journal on Mathematical Analysis, 2018, 50 (6), pp.5887-5920. ⟨10.1137/17M1149195⟩
The stochastic Gross-Pitaevskii equation is used as a model to describe Bose-Einstein condensation at positive temperature. The equation is a complex Ginzburg Landau equation with a trapping potential and an additive space-time white noise. Two impor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::359fd24fabeffe5fc66e52c7a7f42b0d
https://hal.archives-ouvertes.fr/hal-01579123/file/GibbsGP8.pdf
https://hal.archives-ouvertes.fr/hal-01579123/file/GibbsGP8.pdf
Autor:
Anne de Bouard, Reika Fukuizumi
Publikováno v:
Nonlinearity. 20:2823-2844
We study from a mathematical point of view a model equation for a Bose–Einstein condensation, in the case where the trapping potential varies randomly in time. The model is the so-called Gross–Pitaevskii equation, with a quadratic potential with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4991a66a12e9b0ca12ec440a7e5fc25
https://doi.org/10.1088/0951-7715/20/12/005
https://doi.org/10.1088/0951-7715/20/12/005
Publikováno v:
Stochastic Partial Differential Equations : Analysis and Computations
Stochastic Partial Differential Equations : Analysis and Computations, 2015, 3 (1), pp.103-132. 〈10.1007/s40072-015-0044-z〉
Stochastics and Partial Differential Equations: Analysis and Computations
Stochastics and Partial Differential Equations: Analysis and Computations, 2015, 3 (1), pp.103-132. ⟨10.1007/s40072-015-0044-z⟩
Stochastics and Partial Differential Equations: Analysis and Computations, Springer US, 2015, 3 (1), pp.103-132. ⟨10.1007/s40072-015-0044-z⟩
Stochastic Partial Differential Equations : Analysis and Computations, 2015, 3 (1), pp.103-132. 〈10.1007/s40072-015-0044-z〉
Stochastics and Partial Differential Equations: Analysis and Computations
Stochastics and Partial Differential Equations: Analysis and Computations, 2015, 3 (1), pp.103-132. ⟨10.1007/s40072-015-0044-z⟩
Stochastics and Partial Differential Equations: Analysis and Computations, Springer US, 2015, 3 (1), pp.103-132. ⟨10.1007/s40072-015-0044-z⟩
International audience; This article is devoted to the numerical study of a nonlinear Schrödinger equation in which the coefficient in front of the group velocity dispersion is multiplied by a real valued Gaussian white noise. We first perform the n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb48f1f5bd56389724eb99d070e78cf4
https://hal.archives-ouvertes.fr/hal-00948570
https://hal.archives-ouvertes.fr/hal-00948570
Autor:
Anne de Bouard, Reika Fukuizumi
Publikováno v:
Annales Henri Poincaré. 6:1157-1177
The effect of inhomogeneity of nonlinear medium is discussed concerning the stability of standing waves ei ω tϕω(x) for a nonlinear Schrodinger equation with an inhomogeneous nonlinearity V (x)|u|p − 1u, where V (x) is proportional to the electr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36c75bbdd60e20ba983ee6614604954a
https://doi.org/10.1007/s00023-005-0236-6
https://doi.org/10.1007/s00023-005-0236-6