Abstract
In this Letter, we construct a new class of blowup or global solutions with elementary functions to the 3-dimensional compressible or incompressible Euler and Navier-Stokes equations. And the corresponding blowup or global solutions for the incompressible Euler and Naiver-Stokes equations are also given. Our constructed solutions are similar to the famous Arnold-Beltrami-Childress (ABC) flow. The obtained solutions with infinite energy can exhibit the interesting behaviors locally. Furthermore, due to divu→=0 for the solutions, the solutions also work for the 3-dimensional incompressible Euler and Navier-Stokes equations. Copyright © 2011 Elsevier B.V. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 3107-3113 |
| Journal | Physics Letters A |
| Volume | 375 |
| Issue number | 35 |
| DOIs | |
| Publication status | Published - Aug 2011 |
Keywords
- Euler equations
- Exact solutions
- Rotational
- Symmetry reductions
- Blowup
- Navier–Stokes equations
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