Výsledky vyhledávání - "Joackim Bernier"

Akademický článek

LONG TIME BEHAVIOR OF THE SOLUTIONS OF NLW ON THE $d$-DIMENSIONAL TORUS

Autor: JOACKIM BERNIER, ERWAN FAOU, BENOÎT GRÉBERT

Publikováno v: Forum of Mathematics, Sigma, Vol 8 (2020)

We consider the nonlinear wave equation (NLW) on the $d$-dimensional torus $\mathbb{T}^{d}$ with a smooth nonlinearity of order at least 2 at the origin. We prove that, for almost any mass, small and smooth solutions of high Sobolev indices are stabl

Externí odkaz: https://doaj.org/article/14526f2f80504c9fbd84b3626f9144e5

Zobrazit plný text záznamu

Dynamics of nonlinear Klein–Gordon equations in low regularity on $\mathbb{S}^2$

Autor: Joackim Bernier, Benoît Grébert, Gabriel Rivière

Publikováno v: Annales de l'Institut Henri Poincaré C, Analyse non linéaire.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::64dc62bec7998f2e8342f1f2f2a78c4c
https://doi.org/10.4171/aihpc/55

Zobrazit plný text záznamu

Bounds on the growth of high discrete Sobolev norms for the cubic discrete nonlinear Schrödinger equations on \begin{document}$ h\mathbb{Z} $\end{document}

Autor: Joackim Bernier

Publikováno v: Discrete & Continuous Dynamical Systems - A. 39:3179-3195

We consider the discrete nonlinear Schrodinger equations on a one dimensional lattice of mesh h, with a cubic focusing or defocusing nonlinearity. We prove a polynomial bound on the growth of the discrete Sobolev norms, uniformly with respect to the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2d61738d6c0cfe663c0c46d4908957ca
https://doi.org/10.3934/dcds.2019131

Zobrazit plný text záznamu

Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators

Autor: Joackim Bernier

Publikováno v: Foundations of Computational Mathematics
Foundations of Computational Mathematics, 2021

International audience; We introduce some general tools to design exact splitting methods to compute numerically semigroups generated by inhomogeneous quadratic differential operators. More precisely, we factorize these semigroups as products of semi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22644153ad66d70b3c864891c3303242
https://hal.science/hal-02425591

Zobrazit plný text záznamu

Exact Splitting Methods for Kinetic and Schrödinger Equations

Autor: Joackim Bernier, Nicolas Crouseilles, Yingzhe Li

Publikováno v: Journal of Scientific Computing
Journal of Scientific Computing, 2021, 86 (1), ⟨10.1007/s10915-020-01369-9⟩
Journal of Scientific Computing, Springer Verlag, 2021, 86 (1), ⟨10.1007/s10915-020-01369-9⟩

In (Bernier in Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators. arXiv:1912.13219 , (2019)), some exact splittings are proposed for inhomogeneous quadratic differential equations including, for exampl

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6704bda04a044a3ceb4782171db5dcaf
https://doi.org/10.1007/s10915-020-01369-9

Zobrazit plný text záznamu

LONG-TIME EXISTENCE FOR SEMI-LINEAR BEAM EQUATIONS ON IRRATIONAL TORI

Autor: Roberto Feola, Benoît Grébert, Felice Iandoli, Joackim Bernier

We consider the semi-linear beam equation on the d dimensional irrational torus with smooth nonlinearity of order n -- 1 with n $\ge$ 3 and d $\ge$ 2. If $\epsilon$ $\ll$ 1 is the size of the initial datum, we prove that the lifespan T$\epsilon$ of s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9ff003b712259277f72f2cd738faef0
https://hal.archives-ouvertes.fr/hal-02987274/document

Zobrazit plný text záznamu

Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations

Autor: Benoît Grébert, Joackim Bernier

Publikováno v: Archive for Rational Mechanics and Analysis
Archive for Rational Mechanics and Analysis, 2021

We provide an accurate description of the long time dynamics of the solutions of the generalized Korteweg–De Vries (gKdV) and Benjamin–Ono (gBO) equations on the one dimension torus, without external parameters, and that are issued from almost an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::822b39474e54ed4496625c89aa3bfe8a
http://arxiv.org/abs/2006.04397

Zobrazit plný text záznamu

Splitting methods for rotations: application to vlasov equations

Autor: Fernando Casas, Joackim Bernier, Nicolas Crouseilles

Publikováno v: SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2020, 42 (2), pp.A666-A697. ⟨10.1137/19M1273918⟩
SIAM Journal on Scientific Computing, 2020, 42 (2), pp.A666-A697. ⟨10.1137/19M1273918⟩

International audience; In this work, a splitting strategy is introduced to approximate two-dimensional rotation motions. Unlike standard approaches based on directional splitting which usually lead to a wrong angular velocity and then to large error

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56d616b0b3d25453cc24030019c9731e
https://hal.inria.fr/hal-02178952/file/hal_BCC.pdf

Zobrazit plný text záznamu

Long time behavior of the solutions of NLW on the d-dimensional torus

Autor: Erwan Faou, Benoît Grébert, Joackim Bernier

Publikováno v: Forum of Mathematics, Sigma
Forum of Mathematics, Sigma, Cambridge University press, 2020, 8, pp.E12. ⟨10.1017/fms.2020.8⟩
Forum of Mathematics, Sigma, 2020, 8, pp.E12. ⟨10.1017/fms.2020.8⟩

We consider the nonlinear wave equation (NLW) on the $d$ -dimensional torus $\mathbb{T}^{d}$ with a smooth nonlinearity of order at least 2 at the origin. We prove that, for almost any mass, small and smooth solutions of high Sobolev indices are stab

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27a06adb2c0f49936de1a6823a11e1bf
https://hal.archives-ouvertes.fr/hal-02151338v2/document

Zobrazit plný text záznamu

Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium

Autor: Michel Mehrenberger, Joackim Bernier

Publikováno v: Kinetic and Related Models
Kinetic and Related Models, 2020, 13 (1), pp.129-168. ⟨10.3934/krm.2020005⟩
Kinetic & Related Models
Kinetic and Related Models, AIMS, 2020, 13 (1), pp.129-168. ⟨10.3934/krm.2020005⟩

International audience; The asymptotic behavior of the solutions of the second order linearized Vlasov-Poisson system around homogeneous equilibria is derived. It provides a fine description of some nonlinear and multidimensional phenomena such as th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0043a32d2eb3940c8454f05d9bad4192
https://hal.science/hal-02070138

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání