On spatial non–self–similar Riemann problem for gasdynamic equations
The solution of the Caushy problem for gasdynamic equations with initial data being analytical functions everywhere with the exception of a plane on which they break is presented in the form of asymptotic expansions on special small parameter. The problem for main terms of this expansion characterising asymptotic non–self–similar behaviour of the solution near the break plane of the initial data is considered. It is shown that the solution of the problem can be constructed in explicit analytical form.
Publication language:russian, ṇ̃đàíèö:24
Mathematical problems and theory of numerical methods