scholarly journals Global existence and asymptotic stability of smooth solutions to a fluid dynamics model of biofilms in one space dimension

2016 ◽  
Vol 434 (2) ◽  
pp. 1909-1923 ◽  
Author(s):  
Roberta Bianchini ◽  
Roberto Natalini
Keyword(s):  
Fluid Dynamics ◽  
Asymptotic Stability ◽  
Global Existence ◽  
Space Dimension ◽  
Smooth Solutions ◽  
Dynamics Model ◽  
One Space Dimension

scholarly journals The Cauchy Problem for Space-Time Monopole Equations in Temporal and Spatial Gauge

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Hyungjin Huh ◽  
Jihyun Yim
Keyword(s):  
Cauchy Problem ◽  
Global Existence ◽  
Space Dimension ◽  
Space Time ◽  
Gauge Condition ◽  
Existence Of Solution ◽  
Temporal Gauge ◽  
The Cauchy Problem ◽  
Temporal And Spatial ◽  
One Space Dimension

We prove global existence of solution to space-time monopole equations in one space dimension under the spatial gauge condition A1=0 and the temporal gauge condition A0=0.

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