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Titlebook: Mathematical Methods in Kinetic Theory; Carlo Cercignani Book 1969 Springer Science+Business Media New York 1969 kinetic theory.Mathematic

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nds — in connection with the blood-brain barrier, the folding of a short hydrophobic peptide, and the association of transmembrane α-helical domains, in line with the “two-stage” model of membrane protein folding. Current strategies for improving the reliability of free energy calculations, while ma
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Analytical Methods of Solution,n of variables already sketched in Chapter VI, Section 7. The first step is to construct a complete set of separated-variable solutions (“elementary solutions”) and then represent the general solution as a superposition of the elementary solutions ; the second step is to use the boundary and initial
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Other Methods of Solution, easily constructed for linearized problems or in the limit of either large or small Knudsen numbers; the intermediate range of Knudsen numbers (transition region) in nonlinear situations is at present a matter of interpolation procedures of more or less sophisticated nature. In addition, it is to b
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Basic Properties,ntial operator which acts on the space- and time-dependence of .; if we equate this side to zero, we obtain an equation for the time evolution in absence of collisions, and the differential operator is accordingly called the “free-streaming operator.”
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Model Equations,ns have been proposed for the collision term; they are known as collision models, and any Boltzmann-like equation where the Boltzmann collision integral is replaced by a collision model is called a model equation or a kinetic model.
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