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- W1990657316 abstract "Based on Makino's solutions with radially symmetry, we extend the corresponding ones with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R^{N} (Ngeq2). By the separation method, we reduce the Euler and Navier-Stokes equations into 1+N differential functional equations. In detail, the velocity is constructed by the novel Emden dynamical system: {<K1.1/>| <K1.1 ilk=MATRIX > a_{i}(t)=({xi}/(a_{i}(t)({Pi}a_{k}(t))^{{gamma}-1})), for i=1,2,....,N a_{i}(0)=a_{i0}>0, a_{i}(0)=a_{i1} </K1.1> with arbitrary constants {xi}, a_{i0} and a_{i1}. Some blowup phenomena or global existences of the solutions obtained could be shown." @default.
- W1990657316 created "2016-06-24" @default.
- W1990657316 creator A5058546949 @default.
- W1990657316 date "2012-12-01" @default.
- W1990657316 modified "2023-09-30" @default.
- W1990657316 title "Self-similar solutions with elliptic symmetry for the compressible Euler and Navier–Stokes equations in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mrow><mml:msup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>" @default.
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- W1990657316 doi "https://doi.org/10.1016/j.cnsns.2012.05.022" @default.
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