Stochastic Burgers' equation

1994 ◽  
Vol 1 (4) ◽  
pp. 389-402 ◽  
Author(s):  
Guiseppe Da Prato ◽  
Arnaud Debussche ◽  
Roger Temam
Keyword(s):  
Burgers Equation ◽  
Stochastic Burgers Equation

scholarly journals On a stochastic Burgers equation with Dirichlet boundary conditions

2003 ◽  
Vol 2003 (43) ◽  
pp. 2735-2746 ◽  
Author(s):  
Ekaterina T. Kolkovska
Keyword(s):  
Weak Solution ◽  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Burgers Equation ◽  
Martingale Problem ◽  
Weak Limit ◽  
Dirichlet Boundary Conditions ◽  
One Dimensional ◽  
Stochastic Burgers Equation ◽  
The One

We consider the one-dimensional Burgers equation perturbed by a white noise term with Dirichlet boundary conditions and a non-Lipschitz coefficient. We obtain existence of a weak solution proving tightness for a sequence of polygonal approximations for the equation and solving a martingale problem for the weak limit.

From scaling to multiscaling in the stochastic Burgers equation

1997 ◽  
Vol 56 (4) ◽  
pp. 4259-4262 ◽  
Author(s):  
F. Hayot ◽  
C. Jayaprakash
Keyword(s):  
Burgers Equation ◽  
Stochastic Burgers Equation

scholarly journals Stochastic Burgers' equation on the real line: regularity and moment estimates

Stochastics ◽  
2018 ◽  
Vol 90 (7) ◽  
pp. 1053-1086 ◽  
Author(s):  
Peter Lewis ◽  
David Nualart
Keyword(s):  
Real Line ◽  
Burgers Equation ◽  
The Real ◽  
Stochastic Burgers Equation ◽  
Moment Estimates

scholarly journals Wick product in the stochastic Burgers equation: A curse or a cure?

2011 ◽  
Vol 75 (3-4) ◽  
pp. 145-168 ◽  
Author(s):  
S. Kaligotla ◽  
S.V. Lototsky
Keyword(s):  
Burgers Equation ◽  
Wick Product ◽  
Stochastic Burgers Equation

scholarly journals Averaging principle for one dimensional stochastic Burgers equation

2018 ◽  
Vol 265 (10) ◽  
pp. 4749-4797 ◽  
Author(s):  
Zhao Dong ◽  
Xiaobin Sun ◽  
Hui Xiao ◽  
Jianliang Zhai
Keyword(s):  
Burgers Equation ◽  
Averaging Principle ◽  
One Dimensional ◽  
Stochastic Burgers Equation

scholarly journals Full discretization of the stochastic Burgers equation with correlated noise

2013 ◽  
Vol 33 (3) ◽  
pp. 825-848 ◽  
Author(s):  
D. Blomker ◽  
M. Kamrani ◽  
S. M. Hosseini
Keyword(s):  
Burgers Equation ◽  
Correlated Noise ◽  
Full Discretization ◽  
Stochastic Burgers Equation

scholarly journals Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes

2018 ◽  
Vol 52 (3) ◽  
pp. 371-392
Author(s):  
Zhao Dong ◽  
Feng-Yu Wang ◽  
Lihu Xu
Keyword(s):  
Burgers Equation ◽  
Stable Processes ◽  
Stochastic Burgers Equation
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