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The salient points of Extended Thermodynamics are here revised according to the Lagrangian view-point. The conservation laws of mass, momentum and energy, from the Lagrangian view-point, have already been treated in literature. Here a similar procedure is followed for all the balance laws of...
A multi-temperature hydrodynamic limit of kinetic equations is employed for the analysis of the steady shock problem in a binary mixture. Numerical results for varying parameters indicate possible occurrence of either smooth profiles or of weak solutions with one or two discontinuities.
In this work we study the diffusion of a toxic gas in a tunnel due to an explosion in order to realize a control system—via a wireless network of active sensors—for identification and immediate containment procedures. To this end an aspiration pump is turned on instantaneously at a distance of b...
We study the invariance, reduction, exact solutions and conservation laws of the dispersionless Kadomtsev-Petviashivili and the heavenly equation. The existence of nontrivial conservation laws lead to repeated reductions paving the way for determining exact solutions. A variety of such solutions...
These notes concern the study of sufficient conditions on the direction of the vorticity to guarantee regularity of solutions to the evolution Navier–Stokes equations. We emphasize here some thread lines of the research, taken as a whole. Interdependence among distinct results and techniques is...
A reaction-diffusion system modeling the predation between two species is analyzed in the case in which the predators have to search, share and compete for food. The boundedness and uniqueness of the solutions is proved and conditions guaranteeing the global nonlinear asymptotic stability of the...
A preliminary analysis on the possible occurrence of sub-shocks into a gas mixture is carried out. The mixture, undergoing a reversible bimolecular reaction, is described by macroscopic equations obtained by Grad 13 moment approximation of the reactive Boltzmann equation.
In this note some basic models of hysteresis are reviewed: the linear and generalized plays, the relay and the Preisach model. Some related questions are also illustrated.
In this work we study the effect of density dependent nonlinear diffusion on pattern formation in the Lengyel–Epstein system. Via the linear stability analysis we determine both the Turing and the Hopf instability boundaries and we show how nonlinear diffusion intensifies the tendency to pattern...
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