Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green's function for the original surface.
Solving the Vlasov equation in complex geometries
This paper introduces an isoparametric analysis to solve the Vlasov equation with a semi-Lagrangian scheme. A Vlasov-Poisson problem modeling a heavy ion beam in an axisymmetric configuration is considered. Numerical experiments are conducted on computational meshes targeting different geometries. The impact of the computational grid on the accuracy and the computational cost are shown. The use of analytical mapping or Bézier patches does not induce...
Some application of the implicit function theorem to the stationary Navier-Stokes equations
We prove that - in the case of typical external forces - the set of stationary solutions of the Navier-Stokes equations is the limit of the (full) sequence of sets of solutions of the appropriate Galerkin equations, in the sense of the Hausdorff metric (for every inner approximation of the space of velocities). Then the uniqueness of the N-S equations is equivalent to the uniqueness of almost every of these Galerkin equations.
Some effects of side walls on unsteady flow of a viscous fluid over a plane wall.
Some elementary inequalities in gas dynamics equation.
Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation
Some exact representations for the mass current in He-A and their zero temperature implications
Some geometric properties of magneto-fluid flows.
Some globally stable approximations for the Navier-Stokes equations and for some other equations of viscous incompressible fluids
Some implementations of projection methods for Navier-Stokes equations
Some inverse and control problems for fluids
This paper deals with some inverse and control problems for the Navier-Stokes and related systems. We will focus on some particular aspects that have recently led to interesting (theoretical and numerical) results: geometric inverse problems, Eulerian and Lagrangian controllability and vortex reduction oriented to shape optimization.
Some leakage problems for ideal incompressible fluid motion in domains with edges
Some methodical remarks concerning the flow around arbitrary profiles
Two well known definitions of the flow of a plane vector field around the boundary of a region are compared. The definition (appropriately arranged) based on the constantness of the stream function on every profile is not only invariant under conformal mappings but more general than the definition based on the vanishing of the normal component of the field on .
Some multiple-part Wiener-Hopf problems in mathematical physics
Some new existence results for the variable density Navier-Stokes equations
Some New Families of Finite Elements for the Stokes Equations.
Some new parallel flows in weakly conducting fluids with an exponentially decaying Lorentz force.
Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity
We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.
Some optimal control problems of multistate equations appearing in fluid mechanics
Some properties of forced, dissipative large-scale circulations in a barotropic, non-divergent rotating atmosphere
Viene studiata la stabilità dell’atmosfera in un pianeta ruotante, forzata da un agente esterno ed in presenza di dissipazione. Lo studio vien condotto nelle ipotesi barotropiche e riguarda, per l’effetto delle approssimazioni adottate, solamente quei fenomeni caratterizzati da grandi scale spaziali. In particolare viene studiata la stabilità dei flussi zonali che caratterizzano la circolazione dei maggiori pianeti del sistema solare; ne vengono determinate, servendosi della approssimazione di Galerkin,...