Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Pierre Puel"'
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2021, 27, pp.29. ⟨10.1051/cocv/2021005⟩
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2021, 27, pp.29. ⟨10.1051/cocv/2021005⟩
We will consider both the controlled Schrödinger equation and the controlled wave equation on a bounded open set Ω of ℝN during an interval of time (0, T), with T > 0. The control is distributed and acts on a nonempty open subdomain ω of Ω. On
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::176f0b13529d6382378bcb898c43fcb7
https://hal.archives-ouvertes.fr/hal-03192294/document
https://hal.archives-ouvertes.fr/hal-03192294/document
Autor:
Jean-Pierre Puel
Publikováno v:
Series in Contemporary Applied Mathematics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::143a6310c94aa66bb22dda03c5819fc7
https://doi.org/10.1142/9789813276154_0001
https://doi.org/10.1142/9789813276154_0001
Autor:
Jean-Pierre Puel
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations. 22:1264-1281
We are going to prove the local exact bilinear controllability for a Schrodinger equation, set in a bounded regular domain, in a neighborhood of an eigenfunction corresponding to a simple eigenvalue in dimension N ≤ 3. For a general domain we will
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3338747010a048f732eb127fc92bf4f4
https://doi.org/10.1051/cocv/2016049
https://doi.org/10.1051/cocv/2016049
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations. 26:91
It is well known that for the heat equation with Dirichlet boundary condition both internal and boundary null controllability hold with controls applied to any open subset of the domain and any open subset of the boundary, respectively. The purpose o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a1bbcd54cdd66d4c487a5f4996734de
https://doi.org/10.1051/cocv/2020013
https://doi.org/10.1051/cocv/2020013
Publikováno v:
Journal of Mathematical Analysis and Applications. 422:579-593
We study the existence of standing wave solutions of the complex Ginzburg–Landau equation (GL) φ t − e i θ ( ρ I − Δ ) φ − e i γ | φ | α φ = 0 in R N , where α > 0 , ( N − 2 ) α 4 , ρ > 0 and θ , γ ∈ R . We show that for any
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c35a2207414df326d5fef1ac1380878f
https://doi.org/10.1016/j.jmaa.2014.08.057
https://doi.org/10.1016/j.jmaa.2014.08.057
Autor:
Axel Osses1, Jean-Pierre Puel2
Publikováno v:
ESAIM: Control, Optimisation & Calculus of Variations. Apr2009, Vol. 15 Issue 2, p279-294. 16p.
Publikováno v:
Applicable Analysis. 92:2127-2143
We consider an inverse problem of determining a spatially varying factor in a source term in the non-stationary linearized Navier–Stokes equations by observation data in an arbitrarily fixed sub-domain over some time interval. We prove the Lipschit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74aa2467b68a74e2adcf07695d8f52e0
https://doi.org/10.1080/00036811.2012.718334
https://doi.org/10.1080/00036811.2012.718334
Publikováno v:
BIRD: BCAM's Institutional Repository Data
instname
instname
In this paper we deal with the three-dimensional Navier–Stokes system, posed in a cube. In this context, we prove a result concerning its global approximate controllability by means of boundary controls which act in some part of the boundary.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad06203c6a7dbdfb6676da124f43b092
https://doi.org/10.1016/j.matpur.2012.05.008
https://doi.org/10.1016/j.matpur.2012.05.008
Autor:
Jean Pierre Puel
Publikováno v:
BIRD: BCAM's Institutional Repository Data
instname
instname
We give a regularity result for the free Schrodinger equations set in a bounded domain of ℝN which extends the 1-dimensional result proved in Beauchard and Laurent (J. Math. Pures Appl. 94(5):520–554, 2010) with different arguments. We also give
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23f6366ec632fd7f76917b88bdeda01b
https://doi.org/10.1007/s13163-012-0100-4
https://doi.org/10.1007/s13163-012-0100-4
Autor:
Jean-Pierre Puel
Publikováno v:
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2009, 48 (2), pp.1089-1111. ⟨10.1137/060670961⟩
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2009, 48 (2), pp.1089-1111. ⟨10.1137/060670961⟩
We consider evolution problems, such as diffusion convection equations or the linearized Navier-Stokes system, or a weak coupling of them, which we would like to “predict” on a time interval $(T_{0},T_{0}+T)$ but for which, on one hand, the initi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32cc62626cd161dea53da9ad3e68f131
https://doi.org/10.1137/060670961
https://doi.org/10.1137/060670961