ON THE ASYMPTOTIC BEHAVIOUR AND STABILITY OF THE SOLUTION FOR THE BROADWELL MODEL OF THE BOLTZMANN EQUATION IN THREE DIMENSIONS.

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作者
Toscani, G. [1 ]
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[1] Univ di Pavia, Dipartimento di, Matematica, Pavia, Italy, Univ di Pavia, Dipartimento di Matematica, Pavia, Italy
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MATHEMATICAL TECHNIQUES - Differential Equations;
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摘要
The initial value problem for the full Broadwell model, in gas kinetic theory, is investigated. By means of a fixed point theorem an upper estimate for the solution is derived, provided that the initial values satisfy suitable a priori conditions. Since this estimate is function of the time, the asymptotic behaviour of the global solution is determined.
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