ESI The Erwin Schr odinger
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چکیده
A global existence theorem is presented for a kinetic problem of the form @ t f + v r x f = Q(f) ; f (t = 0) = f 0 ; where Q(f) is a simpliied model wave-particle collision operator extracted from quasi-linear plasma physics. Evaluation of Q(f) requires the computation of the mean velocity of the distribution f. Therefore, the assumptions on the data are such that vacuum regions, where the mean velocity is not well deened, are excluded. Also the initial data are assumed to have bounded total energy. As additional results conservation laws for mass, momentum, and energy are derived, as well as an entropy dissipation law and the propagation of higher order moments.
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ESI The Erwin Schr odinger
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متن کاملESI The Erwin Schr odinger
3 We consider commuting squares of nite dimensional von Neumann algebras having the algebra of complex numbers in the lower left corner. Examples include the vertex models, the spin models (in the sense of subfactor theory) and the commuting squares associated to nite dimensional Kac algebras. To any such commuting square we associate a compact Kac algebra and we compute the corresponding subfa...
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تاریخ انتشار 2007