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- W2016530801 abstract "Abstract The group-theoretical approach to the construction of differential laws of conservation is considered for two-dimensional Mayer type problems. Approach is based on the use of the Lie-Ovsiannikov theory and the Noether theorem /4,5/ which is the fundamental tool for deriving the laws of conservation for uncontrolled physical processes (see, e.g., /6–9/). Certain classes of optimally controlled processes were earlier considered in /10–12/ from the point of view of the Noether theory. Sufficient conditions of existence of first integrals of two-dimensional variational problems of the Mayer type are obtained. As an example, the problem of heat transfer optimization in the boundary layer of a compressible gas is considered." @default.
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- W2016530801 date "1980-01-01" @default.
- W2016530801 modified "2023-09-27" @default.
- W2016530801 title "On a corollary of the noether theorem for the two-dimensional problem of the Mayer type" @default.
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- W2016530801 doi "https://doi.org/10.1016/0021-8928(80)90115-x" @default.
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