iejme mathematics education open access 2016 vol 11 no 5 1101 1111 article number mathedu 2016 098 gas dynamic waves and discontinuities a b pavel v bulat and vladimir n ...
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...Iejme mathematics education open access vol no article number mathedu gas dynamic waves and discontinuities a b pavel v bulat vladimir n uskov saint petersburg national research university of information technologies mechanics optics russia bbaltic state technical voenmech named after dmitry ustinov abstract in this paper we examine the history studying compatibility conditions for which determine ratio between values variables before discontinuity right behind him concepts shock wave polar are introduced formation ideas about as narrow region with abrupt changes parameters is shown staged scientific studies an example relationship physical nature appearance singularities solutions euler equations ideal burgers equation allows to simulate discussed can serve brief introduction theory gasdynamic it proposes modern idea features arising solution hyperbolic partial differential keywords received april revised july propagation speed accepted model surface first degree mathematical d during...