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math.PR2007
On the stochastic Burgers equation with some applications to turbulence and astrophysics
Andrew Neate, Aubrey Truman
We summarise a selection of results on the inviscid limit of the stochastic Burgers equation emphasising geometric properties of the caustic, Maxwell set and Hamilton-Jacobi level…
math.PR2007
A one dimensional analysis of singularities and turbulence for the stochastic Burgers equation in d-dimensions
A. D. Neate, A. Truman
The inviscid limit of the stochastic Burgers equation, with body forces white noise in time, is discussed in terms of the level surfaces of the minimising Hamilton-Jacobi function,…
math.PR2007★ 1 cited
A one dimensional analysis of turbulence and its intermittence for the d-dimensional stochastic Burgers equation
A. D. Neate, A. Truman
The inviscid limit of the stochastic Burgers equation is discussed in terms of the level surfaces of the minimising Hamilton-Jacobi function, the classical mechanical caustic and t…