The inflow problem for the systems of equations of a viscous heat-conducting gas in the noncylindrical domains expanding in time
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For a complete system of equations of the one-dimensional nonstationary motion of some viscous heat-conducting gas, the global solvability is proved of the inflow problem in the noncylindrical domains expanding in time. The proof of the time-global existence and uniqueness theorem is connected with obtaining a priori estimates with the constants depending only on the data of the problem and the value of the time interval T but independent of the existence interval of the local solution.
KeywordsNavier-Stokes system of equations heat-conducting gas global solvability non-cylindrical domain expanding in time
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