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Beskrivning
One of a series in mathematics for applied sciences, this volume discusses nonlinear kinetic theory and mathematical aspects of hyperbolic systems. Topics covered include generalizations of the Boltzmann equation and developments in mathematical biology, and the formation of Maxwellian tails.
On the convergence to equilibrium for the B.E., B. Wennberg; formation of Maxwellian tails, A.V. Bobylev; mathematical analysis of quantum kinetic equations, P. Markowich; a simple balance method for transport in stochastic mixtures, G. Pomraning; resolution of Riemann problem for Euler equations of Broadwell systems via the fluid dynamic limit, M. Slemrod; paraxial approximations of the Vlasov Maxwell equations, P.A. Raviart; admissible wave fans for hyperbolic systems of conservation laws, C.M. Dafermos; examples of non trivial large amplitude oscillations in conservation laws, M. Rascle; on long time asymptotics of the Vlasov-Poisson Boltzmann system, J.M. Dolbeault; generalizations of the Boltzmann equation and developments in mathematical biology, N. Bellomo; on extended kinetic theory with chemical reactions, G. Spiga; the semicontinuous Boltzmann equation - towards fluid dynamic applications, L. Preziosi. (Part contents)
