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Диференціальні рівняння рівноваги рідини (рівняння Ейлера) в декартовій системі ...

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Диференціальні рівняння

рівноваги рідини (рівняння Ейлера) в декартовій системі координат:

$open curly brackets X minus 1 over rho times fraction numerator partial differential p over denominator partial differential x end fraction equals fraction numerator d u subscript x over denominator d t end fraction semicolon close space Y minus 1 over rho times fraction numerator partial differential p over denominator partial differential y end fraction equals fraction numerator d u subscript y over denominator d t end fraction semicolon space space Z minus 1 over rho times fraction numerator partial differential p over denominator partial differential z end fraction equals fraction numerator d u subscript z over denominator d t end fraction$

$open curly brackets X minus 1 over rho times fraction numerator partial differential p over denominator partial differential x end fraction equals fraction numerator d u subscript x over denominator d t end fraction minus X subscript В semicolon close space Y minus 1 over rho times fraction numerator partial differential p over denominator partial differential y end fraction equals fraction numerator d u subscript y over denominator d t end fraction minus Y subscript В semicolon space space Z minus 1 over rho times fraction numerator partial differential p over denominator partial differential z end fraction equals fraction numerator d u subscript z over denominator d t end fraction minus Z subscript В$

$open curly brackets X minus 1 over rho times fraction numerator partial differential p over denominator partial differential x end fraction equals 0 semicolon close space Y minus 1 over rho times fraction numerator partial differential p over denominator partial differential y end fraction equals 0 semicolon space space Z minus 1 over rho times fraction numerator partial differential p over denominator partial differential z end fraction equals 0$

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