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Nonlinear boundary-value problems for Boltzmann equations: Periodic solutions and their bifurcations

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Abstract

The statement of nonlinear boundary conditions for the Boltzmann kinetic equation is examined. On this basis, the possibility is discussed that relaxation- or preturbulent-type oscillations that are asymptotically periodic can form in gases.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 110, No. 2, pp. 323–333, February, 1997.

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Krasniuk, I.B. Nonlinear boundary-value problems for Boltzmann equations: Periodic solutions and their bifurcations. Theor Math Phys 110, 256–264 (1997). https://doi.org/10.1007/BF02630451

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