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- W2034387853 abstract "Abstract Semi-inverse methods are used to construct partial differential equations that have chaotic solutions. For first order P.D.E., this comes about by the natural association of the P.D.E. with the orbital equations for the characteristics. Explicit examples are given of linear, quasilinear, nonlinear and systems with the same principal part. The latter kind are used to show that there are 2-dimensional, steady, incompressible, inviscid fluid flows that exhibit chaotic behavior. Second order P.D.E. Are obtained through the requirement that they admit similarity solutions that satisfy O.D.E. With known chaotic behavior. Explicit systems of nonlinear second order P.D.E. That admit chaotic simple wave similarity solutions are constructed." @default.
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- W2034387853 date "1985-01-01" @default.
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- W2034387853 title "Semi-inverse methods for obtaining partial differential equations with chaotic solutions" @default.
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- W2034387853 doi "https://doi.org/10.1016/0020-7225(85)90052-7" @default.
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