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- W1583958248 abstract "Periodic solutions of heat conduction equations with boundary conditions of the relay kind are found for a finite interval, and the behavior of such solutions at unlimited time increase is analyzed. Periodic solutions of heat conduction equations with nonlinear boundary conditions were considered in [1–4, 10], while in [5, 6] periodic solutions of nonhomogeneous heat conduction equations with their right-hand sides nonlinear with respect to the unknown functions are presented, and the asymptotic behavior of related initial problems is analyzed. Solutions of this kind define self-oscillating processes occurring in various branches of hydrodynamics (theory of filtration and diffusion [3–6])." @default.
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- W1583958248 date "1971-01-01" @default.
- W1583958248 modified "2023-09-25" @default.
- W1583958248 title "On the asymptotic behavior of solutions of certain nonlinear problems of hydrodynamics" @default.
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- W1583958248 doi "https://doi.org/10.1016/0021-8928(71)90097-9" @default.
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