scholarly journals Uniform local well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation

2021 ◽  
Author(s):  
Mingjuan Chen ◽  
Boling Guo ◽  
Lijia Han
Keyword(s):  
Burgers Equation ◽  
Inviscid Limit ◽  
Well Posedness

scholarly journals Uniform well-posedness and inviscid limit for the Benjamin–Ono–Burgers equation

2011 ◽  
Vol 228 (2) ◽  
pp. 647-677 ◽  
Author(s):  
Zihua Guo ◽  
Lizhong Peng ◽  
Baoxiang Wang ◽  
Yuzhao Wang
Keyword(s):  
Burgers Equation ◽  
Inviscid Limit ◽  
Well Posedness

scholarly journals Exact statistical properties of the Burgers equation

2000 ◽  
Vol 417 ◽  
pp. 323-349 ◽  
Author(s):  
L. FRACHEBOURG ◽  
Ph. A. MARTIN
Keyword(s):  
White Noise ◽  
Large Distance ◽  
Burgers Equation ◽  
Higher Order ◽  
Statistical Properties ◽  
Inviscid Limit ◽  
Initial Condition ◽  
Spatial Correlations ◽  
One Dimensional ◽  
The One

The one-dimensional Burgers equation in the inviscid limit with white noise initial condition is revisited. The one- and two-point distributions of the Burgers field as well as the related distributions of shocks are obtained in closed analytical forms. In particular, the large distance behaviour of spatial correlations of the field is determined. Since higher-order distributions factorize in terms of the one- and two- point functions, our analysis provides an explicit and complete statistical description of this problem.

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