scholarly journals Replica approach to the KPZ equation with the half Brownian motion initial condition

2011 ◽  
Vol 44 (38) ◽  
pp. 385001 ◽  
Author(s):  
Takashi Imamura ◽  
Tomohiro Sasamoto
Keyword(s):  
Brownian Motion ◽  
Initial Condition ◽  
Kpz Equation ◽  
The Kpz Equation ◽  
Replica Approach

Application to the KPZ Equation

2014 ◽  
pp. 221-240
Author(s):  
Peter K. Friz ◽  
Martin Hairer
Keyword(s):  
Kpz Equation ◽  
The Kpz Equation

scholarly journals Self-Similar Blow-Up Solutions of the KPZ Equation

2015 ◽  
Vol 2015 ◽  
pp. 1-4 ◽  
Author(s):  
Alexander Gladkov
Keyword(s):  
Asymptotic Behavior ◽  
Blow Up ◽  
Kpz Equation ◽  
Self Similar ◽  
The Kpz Equation ◽  
Similar Solutions

Self-similar blow-up solutions for the generalized deterministic KPZ equationut=uxx+|ux|qwithq>2are considered. The asymptotic behavior of self-similar solutions is studied.

scholarly journals Solving the KPZ equation

2013 ◽  
Vol 178 (2) ◽  
pp. 559-664 ◽  
Author(s):  
Martin Hairer
Keyword(s):  
Kpz Equation ◽  
The Kpz Equation

scholarly journals The Scaling Limit of the KPZ Equation in Space Dimension 3 and Higher

2018 ◽  
Vol 171 (4) ◽  
pp. 543-598 ◽  
Author(s):  
Jacques Magnen ◽  
Jérémie Unterberger
Keyword(s):  
Space Dimension ◽  
Scaling Limit ◽  
Kpz Equation ◽  
The Kpz Equation
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