Blowup of solutions for the initial boundary value problem of the 3-dimensional compressible damped Euler equations

2018 ◽  
Vol 41 (12) ◽  
pp. 4754-4762 ◽  
Author(s):  
Ka Luen Cheung
Keyword(s):  
Boundary Value Problem ◽  
Euler Equations ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
3 Dimensional ◽  
Blowup Of Solutions ◽  
Initial Boundary Value

On the initial-boundary value problem for the Euler equations in presence of a rarefaction wave

2019 ◽  
Vol 16 (02) ◽  
pp. 271-292
Author(s):  
Dening Li
Keyword(s):  
Boundary Value Problem ◽  
Rarefaction Wave ◽  
Euler Equations ◽  
Smooth Solution ◽  
Infinite Order ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Classical Sense ◽  
Initial Boundary Value

We study the initial-boundary value problem for the general non-isentropic 3D Euler equations with data which are incompatible in the classical sense, but are “rarefaction-compatible”. We show that such data are also rarefaction-compatible of infinite order and the initial-boundary value problem has a piece-wise smooth solution containing a rarefaction wave.

scholarly journals Blowup of solutions of a nonlinear wave equation

2002 ◽  
Vol 2 (2) ◽  
pp. 105-108 ◽  
Author(s):  
Abbes Benaissa ◽  
Salim A. Messaoudi
Keyword(s):  
Wave Equation ◽  
Boundary Value Problem ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Blowup Of Solutions ◽  
Initial Boundary Value ◽  
Blowup Result

We establish a blowup result to an initial boundary value problem for the nonlinear wave equationutt−M(‖B1/2u‖ 2) Bu+kut=|u| p−2,x∈Ω,t>0.

scholarly journals Global Existence of Solution to Initial Boundary Value Problem for Bipolar Navier-Stokes-Poisson System

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Jian Liu ◽  
Haidong Liu
Keyword(s):  
Global Existence ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Navier Stokes ◽  
Spherically Symmetric ◽  
3 Dimensional ◽  
Poisson Equations ◽  
Initial Boundary Value

This paper concerns initial boundary value problem for 3-dimensional compressible bipolar Navier-Stokes-Poisson equations with density-dependent viscosities. When the initial data is large, discontinuous, and spherically symmetric, we prove the global existence of the weak solution.

Sign in / Sign up

Export Citation Format

Share Document