9 citations · 15 across the 11 of their papers we have counts for
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A Burgers-KPZ Type Parabolic Equation \par\noindent for the Path-Independence of the Density of the Girsanov Transformation
A. Truman, F. -Y. Wang, J. -L. Wu +1
Let solve the multidimensional Itô's stochastic differential equations on where is smooth in its two a…
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…
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,…
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…
Generalized Ito Formulae and Space-Time Lebesgue-Stieltjes Integrals of Local Times
K. D. Elworthy, A. Truman, H. Z. Zhao
Generalised Ito formulae are proved for time dependent functions of continuous real valued semi-martingales. The conditions involve left space and time first derivatives, with the…