| |
|
A new version of the Teukolksy Master Equation, describing any massless
field of different spin $s=1/2,1,3/2,2$ in the Kerr black hole, is
presented here in the form of a wave equation containing additional
curvature terms.
These results suggest a relation
between curvature perturbation theory… |
| |
|
A genuinely two-dimensional discretization of general drift-diffusion (including incompressible Navier--Stokes) equations is proposed. Its numerical fluxes are derived by computing the radial derivatives of "bubbles" which are deduced from available discrete data by exploiting the stationary… |
| |
|
We consider an integro-differential model for evolutionary game theory which describes the evolution of a population adopting mixed strategies. Using a reformulation based on the first moments of the solution, we prove some analytical properties of the model and global estimates. The asymptotic… |
| |
|
We deal with integral equations with a singular kernel of Carlman type. A method to approach to the solution of these equations is given. Infinite matrix theory is used to determine the Fourier coefficients of the solution in the expansion in a series of orthogonal polynomials. |
| |
|
|
| |
|
Particle-laden turbulent flows occur in a variety of industrial applications as well as in naturally occurring flows. While the numerical simulation of such flows has seen significant advances in recent years, it still remains a challenging problem. Many studies investigated the rheology of dense… |
| |
|
|
| |
|
This manuscript relates to the exploiting of the abstract calculus pattern (ACP) for the (numerical) solution of ordinary differential equation (ODEs) systems, which are ubiquitous mathematical formulations of many physical (dynamical) phenomena. We present FOODIE, a software suite aimed to… |
| |
|
The existence of global smooth solutions to the multi-dimensional
hydrodynamic model for plasmas of electrons and positively charged ions
is shown under the assumption that the initial densities are close to
a constant. The model consists of the conservation laws for the particle densities and the… |
| |
|
We compute the continuum thermohydrodynamical limit of a new formulation of lattice kinetic equations for thermal compressible flows, recently proposed by Sbragaglia [J. Fluid Mech. 628, 299 (2009)]. We show that the hydrodynamical manifold is given by the correct compressible Fourier-Navier-Stokes… |
