59 citations · 518 across the 33 of their papers we have counts for
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Some Exact Blowup Solutions to the Pressureless Euler Equations in R^N
Manwai Yuen
The pressureless Euler equations can be used as simple models of cosmology or plasma physics. In this paper, we construct the exact solutions in non-radial symmetry to the pressure…
Analytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars II
Manwai Yuen
This article is the continued version of the analytical blowup solutions for 2-dimensional Euler-Poisson equations \cite{Y1}. With extension of the blowup solutions with radial sym…
Stabilities for Euler-Poisson Equations in Some Special Dimensions
Manwai Yuen
We study the stabilities and classical solutions of Euler-Poisson equations of describing the evolution of the gaseous star in astrophysics. In fact, we extend the study the stabil…
Blowup of C^2 Solutions for the Euler Equations and Euler-Poisson Equations in R^N
Manwai Yuen
In this paper, we use integration method to show that there is no existence of global solution with compact support, to the pressureless Euler-Poisson equations with attrac…
Analytical Blowup Solutions to the Isothermal Euler-Poisson Equations of Gaseous Stars in R^N
Manwai Yuen
This article is the continued version of the analytical blowup solutions for 2-dimensional Euler-Poisson equations in "M.W. Yuen, Analytical Blowup Solutions to the 2-dimensional I…
Analytical Solutions to the Navier-Stokes Equations with Density-dependent Viscosity and with Pressure
Ling Hei Yeung, Manwai Yuen
This article is the continued version of the analytical solutions for the pressureless Navier-Stokes equations with density-dependent viscosity in "M.W. Yuen, Analyitcal Solutions…