| Abstract: | Conclusions For problems of admixture diffusion in a moving medium, diffusion problems in a gyrotropic medium at rest that have the same solutions have been formulated. This has allowed us to use the previously developed technique of symmetrization. The principle of minimum quadratic functional has been justified. Thermodynamically, this principle is interpreted as the principle of minimum fluctuations. The entropy produced by fluctuations is a measure of their intensity. Minimization is conditional in the space of admixture-concentrations distributions and unconditional in the space of the potentials introduced. A method for obtaining estimates of the integral characteristic of diffusion in the streamline-bounded domain has been proposed. Owing to symmetrization, new boundary-value problems have been formulated, which, in contrast to the original problems, have symmetric positive-definite operators. This makes it possible to use the most effective methods of approximate and numerical solutions. Computing Center, Siberian Division, Russian Academy of Sciences, Krasnoyarsk 660036. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 38, No. 2, pp. 32–39, March–April, 1997. |
