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Limit Gaussian Behavior of the Solutions of the Multidimensional Burger'; Equation with Weak-Dependent Initial Conditions |
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| Authors: | I Deriev N Leonenko |
| Institution: | (1) Department of Mathematics, Kiev University, Vladimirskaya, 64, 252601, Kiev, 17, Ukraine |
| Abstract: | Asymptotic normality of the solutions of the initial-value problems for multidimensional Burgers' equation with weakly dependent possible non-Gaussian initial condition is proved. |
| Keywords: | nonlinear partial differential equations Burgers' equation scaling limits Gaussian non-Gaussian initial conditions weak dependence Hermite expansion |
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