Life-span of classical solutions for one-dimensional hydromagnetic flow

2007 ◽  
Vol 28 (4) ◽  
pp. 511-520 ◽  
Author(s):  
Fa-gui Liu
Keyword(s):  
Life Span ◽  
Classical Solutions ◽  
Hydromagnetic Flow ◽  
One Dimensional

scholarly journals Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Jincheng Shi ◽  
Shengzhong Xiao
Keyword(s):  
Global Existence ◽  
Life Span ◽  
General Model ◽  
Wave Equations ◽  
Blow Up ◽  
Initial Conditions ◽  
Short Wave ◽  
Classical Solutions ◽  
Global Classical Solutions

We are concerned with the global existence of classical solutions for a general model of viscosity long-short wave equations. Under suitable initial conditions, the existence of the global classical solutions for the viscosity long-short wave equations is proved. If it does not exist globally, the life span which is the largest time where the solutions exist is also obtained.

One-Dimensional Hydromagnetic Flow With Small Area Variations

1962 ◽  
Vol 29 (4) ◽  
pp. 474-474
Author(s):  
Roy M. Gundersen
Keyword(s):  
Small Area ◽  
Hydromagnetic Flow ◽  
One Dimensional
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