3 citations · 3 across the 5 of their papers we have counts for
5 papers
An Expanding Self-Similar Vortex Configuration for the 2D Euler Equations
Juan Dávila, Manuel del Pino, Monica Musso +1
This paper addresses the long-time dynamics of solutions to the 2D incompressible Euler equations. We construct solutions with continuous vorticity concentra…
Asymptotic properties of vortex-pair solutions for incompressible Euler equations in
Juan Dávila, Manuel del Pino, Monica Musso +1
A {\em vortex pair} solution of the incompressible Euler equation in vorticity form $$ ω_t + \nabla^\perp Ψ\cdot \nabla ω= 0 , \quad Ψ= (-Δ)^{-1} ω, \quad \hbox{in } \mathbb{R…
Global in Time Vortex Configurations for the D Euler Equations
Juan Dávila, Manuel del Pino, Monica Musso +1
We consider the problem of finding a solution to the incompressible Euler equations $$ ω_t + v\cdot \nabla ω= 0 \quad \hbox{ in } \mathbb{R}^2 \times (0,\infty), \quad v(x,t) = \fr…
Global Existence for the N Body Euler-Poisson System
Shrish Parmeshwar
In this paper we investigate the problem of multiple expanding Newtonian stars that interact via their gravitational effect on each other. It is clear physically that if two stars…
Global expanding solutions of compressible Euler equations with small initial densities
Shrish Parmeshwar, Mahir Hadzic, Juhi Jang
We prove the existence of a large class of global-in-time expanding solutions to vacuum free boundary compressible Euler flows without relying on the existence of an underlying fin…