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The Inviscid Burgers Equation with Brownian Initial Velocity

✍ Scribed by Jean Bertoin


Publisher
Springer
Year
1998
Tongue
English
Weight
122 KB
Volume
193
Category
Article
ISSN
0010-3616

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A statistical theory is developed for the stochastic Burgers equation in the inviscid limit. Master equations for the probability density functions of velocity, velocity difference, and velocity gradient are derived. No closure assumptions are made. Instead, closure is achieved through a dimension r