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of 4 707
pro vyhledávání: '"Jacques Louis Lions"'
The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour of such systems mathematically and computationally. A thorough mathematical
Autor:
Enrique Zuazua, Jacques-Louis Lions
We consider the Stokes system in a three-dimensional cylinder Ω = G × (0, L) of R3, G being a bounded smooth domain of R2. We study the following uniqueness property: If u is a solution of the Stokes system in Ω × (0, T) with Dirichlet boundary c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd041f9271ab0c85e7b5f99475b99cd7
https://doi.org/10.1201/9780203744369-21
https://doi.org/10.1201/9780203744369-21
Autor:
Cazenave, Thierry, Dickstein, Flavio, Weissler, Fred B., Centre national de la recherche scientifique (França). Laboratoire Jacques-Louis Lions
Publikováno v:
Publicacions Matemàtiques
Publicacions Matemàtiques, 2011, 55, pp.185-200. ⟨10.5565/publmat_55111_09⟩
Publicacions Matemàtiques; Vol. 55, Núm. 1 (2011); p. 185-200
Recercat. Dipósit de la Recerca de Catalunya
instname
Publ. Mat. 55, no. 1 (2011), 185-200
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publicacions Matemàtiques, 2011, 55, pp.185-200. ⟨10.5565/publmat_55111_09⟩
Publicacions Matemàtiques; Vol. 55, Núm. 1 (2011); p. 185-200
Recercat. Dipósit de la Recerca de Catalunya
instname
Publ. Mat. 55, no. 1 (2011), 185-200
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
In this paper, we prove that if $\Psi $ is a radially symmetric, sign-changing stationary solution of the nonlinear heat equation \begin{equation} \label{fAbs} u_t -\Delta u= |u|^\alpha u, \tag{NLH} \end{equation} ¶ in the unit ball of ${\mathbb R}^
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89075acbbc187fbe1fb9bdee1112671d
https://hal.archives-ouvertes.fr/hal-02895944
https://hal.archives-ouvertes.fr/hal-02895944
Publikováno v:
Numerische Mathematik. 92:535-562
The perfectly matched layer (PML) is an efficient tool to simulate propagation phenomena in free space on unbounded domain. In this paper we consider a new type of absorbing layer for Maxwell's equations and the linearized Euler equations which is al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44f6974e5a8f4c906040d88f31a812b1
https://doi.org/10.1007/s002110100263
https://doi.org/10.1007/s002110100263
Publikováno v:
Applied Mathematics Letters. 15:505-511
In this article, we show that multigrid-like algorithms can be obtained by combining space decomposition with time discretization by operator splitting.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::178b7a6fb849e55328b7e098874cd1d9
https://doi.org/10.1016/s0893-9659(01)00165-3
https://doi.org/10.1016/s0893-9659(01)00165-3
Autor:
Jacques-Louis Lions, Vivette Girault
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 35:945-980
We semi-discretize in space a time-dependent Navier-Stokes system on a three-dimensional polyhedron by finite-elements schemes defined on two grids. In the first step, the fully non-linear problem is semi-discretized on a coarse grid, with mesh-size
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab89282df36dcf0c44859c6a2d87c56f
https://doi.org/10.1051/m2an:2001145
https://doi.org/10.1051/m2an:2001145
Publikováno v:
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 332:655-660
Chimera is a variant of Schwarz' algorithm which is used in CFD to avoid meshing complicated objects. In a previous publication [3] we proposed an implementation for which convergence could be shown except that ellipticity was not proved for the disc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d755556a5df2f8f953bb446ec260b1bf
https://doi.org/10.1016/s0764-4442(01)01904-8
https://doi.org/10.1016/s0764-4442(01)01904-8
Publikováno v:
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 332:661-668
Resume On propose dans cette Note un schema permettant de profiter d'une architecture parallele pour la discretisation en temps d'une equation d'evolution aux derivees partielles. Cette methode, basee sur un schema d'Euler, combine des resolutions gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d874e18215f79d928cb7a68e4ce40a2
https://doi.org/10.1016/s0764-4442(00)01793-6
https://doi.org/10.1016/s0764-4442(00)01793-6
Publikováno v:
Chinese Annals of Mathematics. 22:1-12
In this paper, the authors study reiterated homogenization of nonlinear equations of the form -div(a(x, x/ε, x/ε2,Duε)) = f, where a is periodic in the first two arguments and monotone in the third. It is proved that uε converges weakly in W1,p(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d84a038b572cb2a57afc45ca3db607c
https://doi.org/10.1142/s0252959901000024
https://doi.org/10.1142/s0252959901000024