59 citations · 518 across the 33 of their papers we have counts for
4 papers · 1 filter
Rotational and Self-similar Solutions for the Compressible Euler Equations in R^3
Manwai Yuen
In this paper, we present rotational and self-similar solutions for the compressible Euler equations in R^3 using the separation method. These solutions partly complement Yuen's ir…
Periodic Solutions of 2D Isothermal Euler-Poisson Equations with Possible Applications to Spiral and Disk-like Galaxies
Man Kam Kwong, Manwai Yuen
Compressible Euler-Poisson equations are the standard self-gravitating models for stellar dynamics in classical astrophysics. In this article, we construct periodic solutions to th…
Blowup for Solutions of the N-dimensional Euler-Poisson Equations in Newtonian Cosmology
Manwai Yuen
Pressureless Euler-Poisson equations with attractive forces are standard models in Newtonian cosmology. In this article, we further develop the spectral dynamics method and apply a…
Similarity reductions and new nonlinear exact solutions for the 2D incompressible Euler equations
Engui Fan, Manwai Yuen
For the 2D and 3D Euler equations, their existing exact solutions are often in linear form with respect to variables x,y,z. In this paper, the Clarkson-Kruskal reduction method is…