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.
|Journal||International Journal of Applied and Computational Mathematics|
|Early online date||Jun 2016|
|Publication status||Published - Jun 2017|
CitationYang, 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.
- Euler–Poisson equations
- Exact solutions
- Quadratic form
- Curve integration