A Ow Conservation Law for Surface Processes
نویسندگان
چکیده
The object studied in this paper is a pair ((; Y), where is a random surface in I R N and Y random vector eld on I R N. The pair is jointly stationary, i.e. its distribution is invariant under translations. The vector eld Y is smooth outside but may have discontinuities on. Gauss' divergence theorem is applied to derive a ow conservation law for Y. For I R 1 this specializes to a well-known rate conservation law for point processes. As an application relationships for the linear contact distribution of are derived.
منابع مشابه
Order reduction and μ-conservation law for the non-isospectral KdV type equation a with variable-coefficients
The goal of this paper is to calculate of order reduction of the KdV typeequation and the non-isospectral KdV type equation using the μ-symmetrymethod. Moreover we obtain μ-conservation law of the non-isospectral KdVtype equation using the variational problem method.
متن کاملConvergence Analysis of an Approximation for an Immiscible Displacement Problem by the Modiied Method of Characteristics with Adjusted Advection Preliminary Draft
The MMOC procedure for approximating the solutions of transport-dominated diiusion problems does not automatically preserve integral conservation laws, leading to (mass) balance errors in many kinds of ow problems. The variant, called the MMOCAA, discussed herein preserves the conservation law at a minor additional computational cost. The application of the MMOCAA to a problem in two-phase, imm...
متن کاملAdvec ve – Dispersive Equa on with Spa al Frac onal Deriva ves Evaluated with Tracer Transport Data
242 A dispersion are considered to be the dominant mechanisms of solute transport in the vadose zone, i.e., the variably saturated layer of soils and sediments between the soil surface and groundwater table (Jury and Flühler, 1992). Advection is associated with the average water fl ux or velocity, whereas hydrodynamic dispersion is modeled using an analog of Fick’s law corresponding to the Brow...
متن کامل2D Computational Fluid Dynamic Modeling of Human Ventricle System Based on Fluid-Solid Interaction and Pulsatile Flow
Many diseases are related to cerebrospinal .uid (CSF) hydrodynamics. Therefore, understanding the hydrodynamics of CSF .ow and intracranial pressure is helpful for obtaining deeper knowledge of pathological processes and providing better treatments. Furthermore, engineering a reliable computational method is promising approach for fabricating in vitro models which is essential for inventing gen...
متن کاملShift-diierentiability of the Flow Generated by a Conservation Law
The paper introduces a notion of \shift-diierentials" for maps with values in the space BV. These diierentials describe rst order variations of a given function u, obtained by horizontal shifts of the points of its graph. The ow generated by a scalar conservation law is proved to be generically shift-diierentiable, according to the new deenition. 0 1-Introduction In the analysis of variational ...
متن کامل