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- W2096758873 abstract "The authors , using the method previously proposed by them , investigate the general velocity potential equation for the case of three self- similar variables . Two approaches of this method are used . The first approach assumes that the solution depends only on one variable , which, in turn, is an unknown function of all independent variables , and thus potential equation is reduced to the ODE . Finding unknown function is based on a study of the corresponding overdetermined system of partial differential equations . A number of compatibility conditions for the system are found . Some exact solutions are constructed. It is shown how the solutions obtained can be used in considering the problem of shock-free compression of the gas . The second approach assumes that the function is known and coincides with the function that gives a solution of the potential equation . It is also received a number of exact solutions that can be used to solve some initial and boundary value problems." @default.
- W2096758873 created "2016-06-24" @default.
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- W2096758873 date "2015-06-22" @default.
- W2096758873 modified "2023-09-25" @default.
- W2096758873 title "Два подхода к решению уравнения потенциала в автомодельных переменных" @default.
- W2096758873 hasPublicationYear "2015" @default.
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