Une méthode d'approximation mixte des équations des fluides non newtoniens de troisième grade.
Une méthode du type caractéristique pour la résolution d'un problème de lubrification hydrodynamique en régime transitoire
Unicité dans des solutions du système de Navier-Stokes : cas des domaines lipschitziens
On prouve l’unicité des solutions du système de Navier-Stokes incompressible dans , où est un domaine lipschitzien borné de ().
Unicité dans L3(R3) et d'autres espaces fonctionnels limites pour Navier-Stokes.
The main result of this paper is the proof of uniqueness for mild solutions of the Navier-Stokes equations in L3(R3). This result is extended as well to some Morrey-Campanato spaces.
Uniform in time description for weak solutions of the Hopf equation with nonconvex nonlinearity.
Uniform in discretization error estimates for convection dominated convection-diffusion problems
Uniformly stable mixed hp-finite elements on multilevel adaptive grids with hanging nodes
We consider a family of quadrilateral or hexahedral mixed hp-finite elements for an incompressible flow problem with Qr-elements for the velocity and discontinuous -elements for the pressure where the order r can vary from element to element between 2 and an arbitrary bound. For multilevel adaptive grids with hanging nodes and a sufficiently small mesh size, we prove the inf-sup condition uniformly with respect to the mesh size and the polynomial degree.
Uniqueness and radial symmetry for an inverse elliptic equation.
Uniqueness and stability of regional blow-up in a porous-medium equation
Uniqueness of a solution of the Cauchy problem for one-dimensional compressible viscous micropolar fluid model.
Uniqueness of the solution of the Cauchy problem to some equations of nonstationary filtration
Uniqueness of weak solutions of the Navier-Stokes equations
Consider the Navier-Stokes equation with the initial data . Let and be two weak solutions with the same initial value . If satisfies the usual energy inequality and if where is the multiplier space, then we have .
Uniqueness of weak solutions to a Keller-Segel-Navier-Stokes model with a logistic source
We prove a uniqueness result of weak solutions to the Cauchy problem of a Keller-Segel-Navier-Stokes system with a logistic term.
Uniqueness results for some PDEs
Existence of solutions to many kinds of PDEs can be proved by using a fixed point argument or an iterative argument in some Banach space. This usually yields uniqueness in the same Banach space where the fixed point is performed. We give here two methods to prove uniqueness in a more natural class. The first one is based on proving some estimates in a less regular space. The second one is based on a duality argument. In this paper, we present some results obtained in collaboration with Pierre-Louis...
Uniqueness theorems for steady, compressible, heat-conducting fluids: exterior domains
Si fornisce un teorema di unicità per moti stazionari regolari di fluidi compressibili, viscosi, termicamente conduttori, svolgentisi in regioni esterne a domini compatti della spazio fisico.
Uniqueness theorems for steady, compressible, heat-conducting fluids: bounded domains
Si fornisce un teorema di unicità per moti stazionari regolari di fluidi compressibili, viscosi, termicamente conduttori, svolgentisi in regioni limitate dello spazio fisico.
Universal flows in the simplest theories of fluids
Uno schema di calcolo dello sviluppo del risalto idraulico
The flow inside the hydraulic jump is interpreted in terms of diffusion of a two-dimensional turbulent jet. The classical theoretical-experimental results of turbulent diffusion can be consequently utilized and, on the basis of continuity and momentum equations, the water depth and the distribution of flow velocity for any cross section are shown to be determined for given Froude number of upstream flow.
Unsteady flow and heat transfer of a dusty fluid through a rectangular channel.
Unsteady flow induced by variable suction on a porous disk rotating eccentrically with a fluid at infinity.