Tillage modifies the soil structure to create conditions favorable for plant growth. However, the resulting loose structure is susceptible to collapse by internal capillary forces and external compactive stresses with concurrent changes in soil hydraulic properties. Presently, limited understanding of these complex processes often leads to consideration of the soil plow-layer as a static porous...

We consider stochastic inviscid dyadic models with energy-preserving noise. It is shown that the admit weak solutions which are unique in law. Under a certain scaling limit of noise, converge weakly to deterministic viscous model, for we provide explicit convergence rates terms parameters A central theorem underlying such also established. In case model viscous, show phenomenon dissipation enha...

We study the viscous dissipation in pipe flows long channels with porous or semipermeable walls, taking into account both bulk of channel and pores. give simple closed-form expressions for terms axially varying flow rate $Q(x)$ pressure $p(x)$, generalizing well-known expression $\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{W}=Q\phantom{\rule{0.16em}{0ex}}\mathrm{\ensuremath{\Delta}}p=R{Q}^{2}$ ca...

We study the hydrodynamic viscous electronic transport in a two-dimensional sample separated into two semi-infinite planes by one-dimensional infinite barrier. The are electrically connected via finite-size slit calculate current through assuming finite voltage drop between and neglecting disorder-induced Ohmic resistance, so dissipation resistance purely viscosity induced. find that only solut...