Spatial Scalings for Randomly Initialized Heat and Burgers Equations with Quadratic Potentials

Leonenko, Nikolai N. ORCID: https://orcid.org/0000-0003-1932-4091 and Ruiz-Medina, M. D. 2010. Spatial Scalings for Randomly Initialized Heat and Burgers Equations with Quadratic Potentials. Stochastic Analysis and Applications 28 (2) , pp. 303-321. 10.1080/07362990903546561

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Abstract

A general functional class of spatial scalings is introduced, jointly with the logarithmic transformation of the temporal component, to get the convergence to the Gaussian limit distribution of the solution to the heat and Burgers equations with quadratic external potentials, considering weakly dependent Gaussian random initial conditions. The results derived extend the ones obtained in Leonenko and Ruiz-Medina [31] to a more general spatial scaling setting.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Burgers equation, Heat equation, Quadratic potentials, Scaling laws, Spatiotemporal random fields, Weak-dependent random initial conditions
Publisher:	Taylor and Francis
ISSN:	0736-2994
Last Modified:	18 Oct 2022 13:27
URI:	https://orca.cardiff.ac.uk/id/eprint/13903

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