Abstract
This paper uses matrix and curve integration theory to theoretically show the existence of Cartesian vector solutions for the incompressible density-dependent Euler–Poisson equations in Rᴺ with N≥2. Instead of analytically solving the equations, our approach algebraically constructs appropriate matrices. Once the required matrices are chosen, the solution can be directly obtained. Copyright © 2016 Springer India Pvt. Ltd.
| Original language | English |
|---|---|
| Pages (from-to) | 1549-1556 |
| Journal | International Journal of Applied and Computational Mathematics |
| Volume | 3 |
| Issue number | 2 |
| Early online date | Jun 2016 |
| DOIs | |
| Publication status | Published - Jun 2017 |
Citation
Yang, J., & Yuen, M. (2017). Cartesian solutions for the incompressible density-dependent Euler–Poisson equations in Rᴺ. International Journal of Applied and Computational Mathematics, 3(2), 1549-1556.Keywords
- Incompressible
- Euler–Poisson equations
- Density-dependent
- Exact solutions
- Quadratic form
- Curve integration