An improved local blow-up condition for Euler–Poisson equations with attractive forcing
نویسندگان
چکیده
We improve the recent result of Chae and Tadmor (2008) [10] proving a one-sided threshold condition which leads to a finite-time breakdown of the Euler–Poisson equations in arbitrary dimension n. © 2009 Elsevier B.V. All rights reserved.
منابع مشابه
A Sharp Local Blow-up Condition for Euler-poisson Equations with Attractive Forcing
We improve the recent result of [2] proving a one-sided threshold condition which leads to finite-time breakdown of the Euler-Poisson equations in arbitrary dimension n.
متن کاملUpper-thresholds for Shock Formation in Two-dimensional Weakly Restricted Euler-poisson Equations
The multi-dimensional Euler-Poisson system describes the dynamic behavior of many important physical flows, yet as a hyperbolic system its solution can blow up for some initial configurations. This paper strives to advance our understanding on the critical threshold phenomena through the study of a two-dimensional weakly restricted Euler-Poisson (WREP) system. This system can be viewed as an im...
متن کاملBlow-up Conditions for Two Dimensional Modified Euler-poisson Equations
The multi-dimensional Euler-Poisson system describes the dynamic behavior of many important physical flows, yet as a hyperbolic system its solution can blow-up for some initial configurations. This article strives to advance our understanding on the critical threshold phenomena through the study of a two-dimensional modified EulerPoisson system with a modified Riesz transform where the singular...
متن کاملThresholds in three-dimensional restricted Euler–Poisson equations
This work provides a description of the critical threshold phenomenon in multi-dimensional restricted Euler–Poisson (REP) equations, introduced in [H. Liu, E. Tadmor. Spectral dynamics of the velocity gradient field in restricted fluid flows, Comm. Math. Phys. 228 (2002) 435–466]. For three-dimensional REP equations, we identified both upper thresholds for the finite-time blow up of solutions a...
متن کاملOn the Finite Time Blow - up of the Euler - Poisson Equations in R
Finally, k is a scaled physical constant which signifies whether the underlying forcing is attractive, when k <0, or repulsive, when k >0. The hyperbolic-elliptic system (1.1) appears in a variety of different applications, from small scale models in charge transport and plasma collision, e.g., [18, 8], to large scale dynamics of (cluster of) stars in cosmological waves, and expansion of the co...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009