Articolo in rivista
On a class of forward -backward parabolic equations: Formation of singularities |
We study the formation of singularities for the problem {u(t) = [phi(u)](xx) + epsilon[psi(u)](txx) in Omega x (0, T) phi(u) + epsilon[psi(u)](t) = 0 in partial derivative Omega x(0, T) u = u(0) >= 0 in Omega x {0}, where epsilon and Tare positive constants, Omega a bounded interval, u(0) a… | |
Extended interpolation in some Sobolev-type spaces |
Boundedness and convergence of the extended Lagrange interpolating operator are investigated in the space L_u,t^p of Sobolev type. | |
On the lattice Boltzmann method as a computational framework for multiscale hemodynamics |
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The quantum Lattice Boltzmann equation: recent developments |
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A transversal method of lines for the numerical modeling of vertical infiltration into the vadose zone |
Here some issues are studied, related to the numerical solution of Richards' equation in a one dimensional spatial domain by a technique based on the Transversal Method of Lines (TMoL). The core idea of TMoL approach is to semi-discretize the time derivative of Richards' equation: afterward a… | |
A well-balanced scheme able to cope with hydrodynamic limits for linear kinetic models |
Well-balanced schemes were introduced to numerically enforce consistency with longtime behavior of the underlying continuous PDE. When applied to linear kinetic models, like the Goldstein-Taylor system, this construction generates discretizations which are inconsistent with the hydrodynamic stiff… | |
Statistical Predictability and Parametric Models of Daily Ambient Temperature and Solar Irradiance: an Analysis in the Italian Climate |
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Direct Simulation of Fluid Transport at Solid Interfaces with a Multiscale Lattice-Boltzmann Finite-Volume Method |
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Existence and regularity for eddy current system with nonsmooth conductivity |
We discuss the well-posedness of the "transient eddy current" magneto-quasi-static approximation of Maxwell's initial value problem with bounded and measurable conductivity, with sources, on a domain. We prove the existence and uniqueness of weak solutions, and we provide global Hölder estimates… | |
Internal dynamics and activated processes in soft-glassy materials |
Plastic rearrangements play a crucial role in the characterization of soft-glassy materials, such as emulsions and foams. Based on numerical simulations of soft-glassy systems, we study the dynamics of plastic rearrangements at the hydrodynamic scales where thermal fluctuations can be neglected.… |
