59 citations · 518 across the 33 of their papers we have counts for
34 papers
Sharp lifespan estimate for the compressible Euler system with critical time-dependent damping in
Lv Cai, Ning-An Lai, Wen-Ze Su
This paper concerns the long time existence to the smooth solutions of the compressible Euler system with critical time dependent damping in . We establish the sharp lifespan…
Blow-up Phenomena for Compressible Euler Equations with Non-vacuum Initial Data
Sen Wong, Manwai Yuen
In this article, we study the blowup phenomena of compressible Euler equations with non-vacuum initial data. Our new results, which cover a general class of testing functions, pres…
Blowup of Regular Solutions for the Relativistic Euler-Poisson Equations
Wai Hong Chan, Sen Wong, Manwai Yuen
In this paper, we study the blowup phenomena for the regular solutions of the isentropic relativistic Euler-Poisson equations with a vacuum state in spherical symmetry. Using a gen…
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…