Liu, K. C. Spatial stochastic systems theory and its application to fields and waves in random moving media. I: General theory. (English) Zbl 0521.73004 J. Sound Vib. 79, 321-339 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 1 Document MSC: 74A40 Random materials and composite materials 35R60 PDEs with randomness, stochastic partial differential equations 60H20 Stochastic integral equations Keywords:statistical properties of fields and waves; random moving media; complex wave processes; divided into number (finite or infinite) of simple processes; randomly moving irregular boundary conditions; transformed into problem of solving random integral equation; problem of solving partial differential equations for much simpler boundary conditions; example; acoustics of shallow sea; four stochastic non-homogeneous Fredholm integral equations of second kind PDFBibTeX XMLCite \textit{K. C. Liu}, J. Sound Vib. 79, 321--339 (1981; Zbl 0521.73004) Full Text: DOI