In this article we consider weak solutions of the three-dimensional incompressible fluid flow equations with initial data admitting a one-dimensional symmetry group. We examine both the viscous andâ€¦ (More)

A basic example of shear flow was introduced by DiPerna and Majda to study the weak limit of oscillatory solutions of the Euler equations of incompressible ideal fluids. In particular, they proved byâ€¦ (More)

In the long-time scale, we consider the fluid dynamical limits for the kinetic equations when the fluctuation is decomposed into even and odd parts with respect to the microscopic velocity withâ€¦ (More)

Well-posedness of the Cauchy problem is analyzed for a singular Vlasov equation governing the evolution of the ionic distribution function of a quasineutral fusion plasma. The Penrose criterium isâ€¦ (More)

In this paper we study the scattering frequencies ~k. For the Laplacian A, in the region f2 =Rn\(9 exterior to a compact analytic obstacle (9. We suppose that n is odd and that Dirichlet boundaryâ€¦ (More)

The paper presents some results related to the optimal control approachs applying to inverse radiative transfer problems, to the theory of reflection operators, to the solvability of the inverseâ€¦ (More)

We consider a modification of the three-dimensional Navierâ€“Stokes equations and other hydrodynamical evolution equations with space-periodic initial conditions in which the usual Laplacian of theâ€¦ (More)

The 3D incompressible Euler Equations with initial data characterized by uniformly large vorticity are investigated. We prove existence on long time intervals of regular solutions to the 3Dâ€¦ (More)

Non blow-up of the 3D incompressible Euler Equations is proven for a class of threedimensional initial data characterized by uniformly large vorticity in bounded cylindrical domains. There are noâ€¦ (More)