Random Field Satisfying a Linear Partial Differential Equation with Random Forcing Term.

reportActive / Technical Report | Accession Number: ADA141886 | Open PDF

Abstract:

The authors first solve the equation dX aXdt dN, where dN represents a Poisson process, and then generalize to a Levy process. Finally, they solve a linear partial differential equation DX dL in strong distribution, meaning that the second member dL is a distribution process, generalization of Levy process on R. The results are then applied to wave propagation in underwater acoustics, and spatial correction is determined. Author

Author(s):
Debrucq, D. ; Oliver, C.
Author Organization(s):
NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
Descriptive Note:
Technical rept.,
Pagination:
0026

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Contract/Grant Number(s):
N00014-75-C-0491, N00014-81-K-0373
 Subject Terms
Joint Capability Areas:
JCA_3.2_Engagement; JCA_3_Force Application; JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_3.2.1_Kinetic Means; JCA_5_Command and Control
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
*Linear differential equations, *Partial differential equations, *Wave propagation, *Underwater acoustics, Acoustic waves, Poisson equation, Fourier transformation, Random variables, Covariance, Linearity, Operators(Mathematics)
Field(s)/Group(s):
Statistics and Probability, Acoustics
Keyword(s):
*Levy process, *Random fields, WUNR042269, WUSR0105
Report Date:
1983 Jan 01