Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
766975 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 5 Pages |
Abstract
⺠We constructe the solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations. ⺠We reduce the Euler and Navier-Stokes equations into 1 + N differential functional equations. ⺠The constructed velocity is constructed by the novel Emden dynamical system. ⺠Some blowup phenomena or global existences of the solutions can be shown. ⺠Computing simulation or rigorous mathematical proofs for the Emden dynamical system, are expected to be followed.
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Engineering
Mechanical Engineering
Authors
Manwai Yuen,