Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Pierre Orenga"'
Autor:
Anne Tomasi, Pierre Orenga
Publikováno v:
Comptes Rendus Mathematique. 351:43-46
Resume Nous presentons un resultat de convergence de ( ρ n γ ) vers ρ γ dans le cas des equations de Navier–Stokes compressibles isentropiques (Lions, 1996 [6] ) dans un domaine variable en temps. Le point essentiel est de montrer la convergenc
Publikováno v:
Annales de l'Institut Henri Poincare (C) Non Linear Analysis. 25(4):725-741
We propose a free boundary shallow water model for which we give an existence theorem. The proof uses an original Lagrangian discrete scheme in order to build a sequence of approximate solutions. The properties of this scheme allow to treat the diffi
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 17:393-409
In this paper we present a new approach to describe the behaviour of a pollutant slick at the sea surface. To this end, we consider that the pollutant and the water are immiscible and we propose a two-layer model where the lower layer corresponds to
Publikováno v:
Mathematical and Computer Modelling. 42(3-4):325-338
In this paper, we present a numerical method based on a mixed characteristic-Galerkin (or Lagrangian-Galerkin) scheme to solve a shallow water problem with dirichlet boundary conditions. In a first part, we prove an L^2-bound on the water elevation.
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 15:843-869
In this paper, we present a new model for a bi-layer shallow water problem using the rigid-lid hypothesis. This model follows from the usual bi-layer model and can drastically decrease the computational time of simulation. But some mathematical and n
Publikováno v:
Comptes Rendus Mathematique. 340:719-724
Resume Nous presentons dans cette Note un resultat d'existence pour un probleme de shallow water bicouche, avec conditions aux limites de Dirichlet. La principale difficulte provient des termes couplant les deux couches. Pour les traiter, nous devons
Autor:
Fabien Flori, Pierre Orenga
Publikováno v:
Comptes Rendus Mathematique. 340:665-670
Resume En utilisant certaines proprietes des espaces de Hardy nous donnons un resultat de regularite sur le terme d'advection des equations de shallow-water. Une application de cette regularite est de permettre de montrer l'existence d'une borne dans
Publikováno v:
Nonlinear Analysis: Real World Applications. 4:139-171
In this paper, we prove an existence and uniqueness result for a bi-layer shallow water model in depth-mean velocity formulation. Some smoothness results for the solution are also obtained. In a previous work we proved the same results for a one-laye
Autor:
Catherine Giacomoni, Pierre Orenga
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 36:1091-1109
We analyze the compressible isentropic Navier–Stokes equations (Lions, 1998) in the two-dimensional case with . These equations also modelize the shallow water problem in height-flow rate formulation used to solve the flow in lakes and perfectly we
Publikováno v:
Annales mathématiques Blaise Pascal. 9:269-281
Nous presentons dans ce document un resultat d'existence d'un probleme de tsunami. L'ecoulement fluide est represente par un modele de type shallow water bidimensionnel alors que le deplacement de la lithosphere est representee par un modele de plaqu