THE GLOBAL SMOOTH SOLUTION FOR HIGH-DIMENSIONAL HYPERBOLIC SYSTEMS

1994 ◽  
Vol 14 (3) ◽  
pp. 241-251 ◽  
Author(s):  
Zhiming Hu ◽  
Tong Zhang
Keyword(s):  
Smooth Solution ◽  
Hyperbolic Systems ◽  
High Dimensional ◽  
Global Smooth Solution

Global smooth solution for nonlinearly dampedp-system with large initial data

1999 ◽  
Vol 73 (3-4) ◽  
pp. 507-522 ◽  
Author(s):  
Changjiang ZHU ◽  
Huijiang Zhao ◽  
Xuewen XU
Keyword(s):  
Initial Data ◽  
Smooth Solution ◽  
Large Initial Data ◽  
Global Smooth Solution

Smoothing effect on the damping mechanism for an inviscid two-phase gas—liquid model

2014 ◽  
Vol 144 (2) ◽  
pp. 351-362 ◽  
Author(s):  
Lizhi Ruan
Keyword(s):  
Cauchy Problem ◽  
Initial Data ◽  
External Force ◽  
Smooth Solution ◽  
Smoothing Effect ◽  
Two Phase ◽  
Global Smooth Solution ◽  
Liquid Model ◽  
The Cauchy Problem

In this paper, we consider the Cauchy problem for an inviscid two-phase gas—liquid model with external force, in order to demonstrate the smoothing effect on the damping mechanism. It is shown that the Cauchy problem admits a unique global smooth solution provided that the initial data are smooth and the C0-norm of the derivative of the initial data are small.

scholarly journals Global smooth solution for a kind of two-fluid system in plasmas

2012 ◽  
Vol 252 (5) ◽  
pp. 3453-3481 ◽  
Author(s):  
Lijia Han ◽  
Jingjun Zhang ◽  
Boling Guo
Keyword(s):  
Smooth Solution ◽  
Fluid System ◽  
Global Smooth Solution ◽  
Two Fluid

Cauchy problem for the Ginzburg-Landau equation for the superconductivity model

1997 ◽  
Vol 127 (6) ◽  
pp. 1181-1192 ◽  
Author(s):  
Boling Guo ◽  
Guangwei Yuan
Keyword(s):  
Cauchy Problem ◽  
Existence And Uniqueness ◽  
Smooth Solution ◽  
Landau Equation ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Lorentz Gauge ◽  
Global Smooth Solution ◽  
Ginzburg Landau Equation

In this paper, the existence and uniqueness of the global smooth solution are proved for an evolutionary Ginzburg–Landau model for superconductivity under the Coulomb and Lorentz gauge.

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