確率過程の理論に基づく小規模河床波の水理学的考察

抄録

 This study is based on stochastic process, and with respect to sand waves in river bed with a hydraulic consideration. The irregularity of sediment transportation on the movable bed to have the physical significance have to be dealt with stochastic process. With using the distribution function of the step-length, derive a sand wave equation and compare with another equation derived from the deterministic perspective based on principle of hydraulics in movable bed. And we can presume higher orders Fokker-Planck equation in stochastic processes and apply sediment transportation. The purpose is to look at and interpret at different perspective, and also examine the correlation with sand wave equations derived in this study.