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- W4288093158 abstract "A special initial condition for (1+1)-dimensional Burgers equation is considered. It allows to obtain new analytical solutions for an arbitrary low viscosity as well as for the inviscid case. The viscous solution is written as a rational function provided the Reynolds number (a dimensionless value inversely proportional to the viscosity) is a multiple of two. The inviscid solution is expressed in radicals. Asymptotic expansion of the viscous solution at infinite Reynolds number is compared against the inviscid case. All solutions are finite, tend to zero at infinity and therefore are physically viable." @default.
- W4288093158 created "2022-07-28" @default.
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- W4288093158 date "2019-10-12" @default.
- W4288093158 modified "2023-10-14" @default.
- W4288093158 title "Rational solutions of (1+1)-dimensional Burgers equation and their asymptotic" @default.
- W4288093158 doi "https://doi.org/10.48550/arxiv.1910.05488" @default.
- W4288093158 hasPublicationYear "2019" @default.
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