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Titlebook: Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects; Proceedings of the F Andrea Donato,Francesco Oliveri Confer

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Discrete Boltzmann Equation with Multiple Collisions,ions. When the initial densities are positive, bounded, independent of two of the three space variables, and when the initial mass is “small”, the initial-value problem possesses a global solution in time, if the initial data satisfy some sufficient conditions..This result has been proved by Bellomo
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The Burgers Equation: Explicit Solutions of an Initial Boundary Value Problem, is based on the application of the well known Cole-Hopf transformation which relates the nonlinear Burgers equation to the linear heat equation. Thus, the initial boundary value problem for the Burgers equation we are interested in is trasformed into an initial boundary value problem for a linear d
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Large Time, Weak Solutions to Reacting Euler Equations,p exothermic chemical reaction under Arrhenius type kinetics. For such kinetics, the Arrhenius function does not vanish except at absolute sero temperature. We assume that the initial temperature is bounded away from sero and that the total variation of the initial data is sufficiently small. As a c
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The Burgers Equation: Explicit Solutions of an Initial Boundary Value Problem,iffusion equation (heat equation)..The latter is solved in terms of a series expansion of repeated integrals of error functions. The convergence of this series is proved corresponding to initial data which are analytic in ....Remarkably, the solution here presented can be easily expressed in terms of the initial conditions on the boundary.
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Extended Thermodynamics of Charge Carrier Transport in Semiconductors,very other greek index) indicates that the quantity considered is referred to the lattice (for . = 0), to electrons (for . 1) and to holes (for α = 2). In these balance equations some constitutive functions appear; restrictions on their generality are found by imposing the entropy principle and that of material objectivity.
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