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| On Some Model Equations of Euler and Navier-Stokes Equations* |
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Citation： |
Dapeng DU.On Some Model Equations of Euler and Navier-Stokes Equations*[J].Chinese Annals of Mathematics B,2021,42(2):281~290 |
| Page view： 523
Net amount： 453 |
Authors： |
Dapeng DU; |
Foundation： |
National Natural Science Foundation of China (No. 11571066). |
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| Abstract： |
The author proposes a two-dimensional generalization of Constantin-Lax-Majda model. Some results about singular solutions are given. This model might be the first step toward the singular solutions of the Euler equations. Along the same line (vorticity formulation), the author presents some further model equations. He possibly models various aspects of difficulties related with the singular solutions of the Euler and Navier-Stokes equations. Some discussions on the possible connection between turbulence and the singular solutions of the Navier-Stokes equations are made. |
Keywords： |
Euler equations, Navier-Stokes equations, Singular solutions,Turbulence |
Classification： |
35B65, 76B03, 76D03, 76F02 |
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