On the modified Enskog equation for elastic and inelastic collisions. Models with spin
On the motion of a body in thermal equilibrium immersed in a perfect gas
We consider a body immersed in a perfect gas and moving under the action of a constant force. Body and gas are in thermal equilibrium. We assume a stochastic interaction body/medium: when a particle of the medium hits the body, it is absorbed and immediately re-emitted with a Maxwellian distribution. This system gives rise to a microscopic model of friction. We study the approach of the body velocity V(t) to the limiting velocity and prove that, under suitable smallness assumptions, the approach...
On the motion of a curve by its binormal curvature
We propose a weak formulation for the binormal curvature flow of curves in . This formulation is sufficiently broad to consider integral currents as initial data, and sufficiently strong for the weak-strong uniqueness property to hold, as long as self-intersections do not occur. We also prove a global existence theorem in that framework.
On the motion of a non-homogeneous ideal incompressible fluid in an external force field
On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid
On the motion of nonviscous compressible fluids in domains with boundary
On the motion of rigid bodies in a viscous fluid
We consider the problem of motion of several rigid bodies in a viscous fluid. Both compressible and incompressible fluids are studied. In both cases, the existence of globally defined weak solutions is established regardless possible collisions of two or more rigid objects.
On the Nature of Turbulence
On the Navier-Stokes Equations in Non-Cylindrical Domains: On the Existence and Regularity.
On the Navier-Stokes equations with temperature-dependent transport coefficients.
On the Newton partially flat minimal resistance body type problems
We study the flat region of stationary points of the functional under the constraint , where is a bounded domain in . Here is a function which is concave for small and convex for large, and is a given constant. The problem generalizes the classical minimal resistance body problems considered by Newton. We construct a family of partially flat radial solutions to the associated stationary problem when is a ball. We also analyze some other qualitative properties. Moreover, we show the...
On the non-existence of time-dependent fluid spheres in general relativity obeying an equation of state
On the nonhamiltonian character of shocks in 2-D pressureless gas
The paper deals with the 2-D system of gas dynamics without pressure which was introduced in 1970 by Ua. Zeldovich to describe the formation of largescale structure of the Universe. Such system occurs to be an intermediate object between the systems of ordinary differential equations and hyperbolic systems of PDE. The main its feature is the arising of singularities: discontinuities for velocity and d-functions of various types for density. The rigorous notion of generalized solutions in terms of...
On the non-uniqueness of weak solution of the Euler equations
On the Numerical Approximation of Finite Speed Diffusion Problems.
On the Numerical Resolution of the Generalized Airfoil Equation with Possio Kernel.
On the Numerical Treatment of Viscous Flows Against Bodies with Corners and Edges by Boundary Element and Multigrid Methods.
On the one-dimensional Boltzmann equation for granular flows
We consider a Boltzmann equation for inelastic particles on the line and prove existence and uniqueness for the solutions.
On the one-dimensional Boltzmann equation for granular flows
We consider a Boltzmann equation for inelastic particles on the line and prove existence and uniqueness for the solutions.
On the onset of convection in porous media: temperature depending viscosity
Si considera l'insorgere della convezione naturale in un mezzo poroso (Horton-Rogers-Lapwood problem), assumendo che la viscosità del fluido dipenda dalla temperatura. Adoperando il metodo diretto di Liapunov, si effettua l'analisi della stabilitá non lineare della soluzione di conduzione per i modelli di Darcy e di Forchheimer.