Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Geneviève Raugel"'
Publikováno v:
Journal of Dynamics and Differential Equations. 34:2749-2785
We consider a hyperbolic quasilinear version of the Navier–Stokes equations in $${\mathbb {R}}^2$$ , arising from using a Cattaneo type law instead of a Fourier law. These equations, which depend on a parameter $$\varepsilon $$ , are a way to avoid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2a5fbe0bf95de9b28e6ac54ab61905f
https://doi.org/10.1007/s10884-021-09978-0
https://doi.org/10.1007/s10884-021-09978-0
Autor:
Geneviève Raugel, Van-Sang Ngo
Publikováno v:
Journal of Dynamical and Control Systems. 27:531-556
This paper deals with the controllability of the second-grade fluids, a class of non-Newtonian of differential type, on a two-dimensional torus. Using the method of Agrachev and Sarychev (J. Math Fluid Mech., 7(1):108–52 (2005)), Agrachev and Saryc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0d935d67ad0a25ea1b003ac0c812961f
https://doi.org/10.1007/s10883-020-09503-4
https://doi.org/10.1007/s10883-020-09503-4
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
In this work we study Morse–Smale semigroups under nonautonomous perturbations, which leads us to introduce the concept of Morse–Smale evolution processes of hyperbolic type, associated to nonautonomous evolutionary equations. They are amongst th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5abdf589776a5b7cb2c1241a0f50e500
Publikováno v:
Journal of Dynamics and Differential Equations. 34:2639-2679
In this paper, we consider the scalar reaction–diffusion equations $$\partial _t u= \Delta u+f(x,u, \nabla u)$$ on a bounded domain $$\Omega \subset \mathbb {R}^d$$ of class $$\mathcal {C}^{2,\gamma }$$. We show that the heteroclinic and homoclinic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd250ccf39d49a80874a4ab2f6a53f42
https://doi.org/10.1007/s10884-019-09813-7
https://doi.org/10.1007/s10884-019-09813-7
We study the long-time behavior of localized solutions to linear or semilinear parabolic equations in the whole space $\mathbb{R}^n$, where $n \ge 2$, assuming that the diffusion matrix depends on the space variable $x$ and has a finite limit along a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e4408d22e972d14d4f4d2b6116ac0ca
http://arxiv.org/abs/2005.13882
http://arxiv.org/abs/2005.13882
Publikováno v:
Annales scientifiques de l'École normale supérieure. 50:1447-1498
For general nonlinear Klein-Gordon equations with dissipation we show that any finite energy radial solution either blows up in finite time or asymptotically approaches a stationary solution in $H^1\times L^2$. In particular, any global solution is b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb02587b3743a9134129700d4be8febd
https://doi.org/10.24033/asens.2349
https://doi.org/10.24033/asens.2349
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2012, 252 (6), pp.3695-3751
Journal of Differential Equations, Elsevier, 2012, 252 (6), pp.3695-3751
This paper is devoted to the large time behavior and especially to the regularity of the global attractor of the second grade fluid equations in the two-dimensional torus. We first recall that, for any size of the material coefficient α > 0 , these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::442493777e17f181ed650f46a0f909ed
Publikováno v:
Indiana University Mathematics Journal. 56:1083-1156
r. We consider the Navier-Stokes equations on a thin domain of the form Ω e = {x ∈ R 3 | x 1 , x 2 ∈ (0,1), 0 < x 3 < eg (x 1 , x 2 )} supplemented with the following mixed boundary conditions: periodic boundary conditions on the lateral boundar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c37785c9f172bf146b708f4e66324c2f
https://doi.org/10.1512/iumj.2007.56.2834
https://doi.org/10.1512/iumj.2007.56.2834
Autor:
Marius Paicu, Geneviève Raugel
Publikováno v:
ESAIM: Proceedings. 21:65-87
In this paper, we consider a hyperbolic perturbation of the Navier-Stokes equations in R n , n = 2,3, given by (0.2), which consists in adding the term "utt to the Navier-Stokes equations. In the case n = 2, we recall the global existence and uniquen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a0878f6da35490fc3fbc34d4677c53c
https://doi.org/10.1051/proc:072106
https://doi.org/10.1051/proc:072106
Autor:
Yingfei Yi, Geneviève Raugel
Publikováno v:
Journal of Dynamics and Differential Equations. 28:593-594
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4898bdbc455a049ea8b0628675fd9702
https://doi.org/10.1007/s10884-016-9544-4
https://doi.org/10.1007/s10884-016-9544-4