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 …

Nissuna umana investigazione si pò dimandare vera scienzia s' essa non passa per le
matematiche dimostrazioni, e se tu dirai che le scienzie, che principiano e finiscono nella …

The present paper concerns the existence and the asymptotic stability of a stationary
solution to the initial boundary value problem for a one-dimensional heat-conductive …

The global existence of smooth solutions of the Cauchy problem for the N-dimensional Euler-
-Poisson model for semiconductors is established, under the assumption that the initial data …

We consider an Euler--Poisson system with small parameters arising in the modeling of
unmagnetized plasmas and semiconductors. For initial data close to constant equilibrium …

The relaxation-time limit from the quantum hydrodynamic model to the quantum drift–
diffusion equations in R3 is shown for solutions which are small perturbations of the steady …

The limit of the vanishing ratio of the electron mass to the ion mass in the isentropic transient
Euler–Poisson equations with periodic boundary conditions is proved. The equations …

In this paper we present a physically relevant hydrodynamic model for a bipolar
semiconductor device considering Ohmic conductor boundary conditions and a non-flat …

We consider periodic smooth solutions for a non-isentropic Euler–Poisson system with small
parameters, in which the momentum and energy equations are partially dissipative. When …

This chapter is devoted to the derivation of k⋅ p multi-band quantum transport models, in
both the pure-state and mixed-state cases. The first part of the chapter deals with pure …