C:/Users/spg/Dropbox/activitate matematica/articole publicate/2012/green/proof of stokes theorem/Holhos-2012-Stokes-finala.dvi
نویسنده
چکیده
We prove an integral formula of Green’s type and we apply this result in the proof of a generalization of Stokes’ integral formula.
منابع مشابه
A Coordinate-Based Proof of the Scallop Theorem
We reconsider fluid dynamics for a self-propulsive swimmer in Stokes flow. With an exact definition of deformation of a swimmer, a coordinate-based proof is first given to Purcell’s scallop theorem including the body rotation.
متن کاملThe theorems of Green-Stokes,Gauss-Bonnet and Poincare-Hopf in Graph Theory
By proving graph theoretical versions of Green-Stokes, Gauss-Bonnet and Poincaré-Hopf, core ideas of undergraduate mathematics can be illustrated in a simple graph theoretical setting. In this pedagogical exposition we present the main proofs on a single page and add illustrations. While discrete Stokes is at least 100 years old, the other two results for graphs were found only recently.
متن کاملDispersion and Deposition of Micro Particles over Two Square Obstacles in a Channel via Hybrid Lattice Boltzmann Method and Discrete Phase model
Dispersion and deposition of aerosol particles over two square cylinders confined in a channel in laminar unsteady vortical flow were investigated numerically. Lattice Boltzmann method was used to calculate fluid characteristics and modify Euler method was employed as Lagrangian particle tracing procedure to obtain particle trajectories. Drag, Saffman lift, gravity, buoyancy and Brownian motion...
متن کاملOn relaxation times in the Navier-Stokes-Voigt model
We give two results that indicate that the relaxation time for the flow governed by the Navier-Stokes-Voigt (NSV) model is sinificantly larger than for the Navier-Stokes equations. We first show that for the Green-Taylor vortex decay problem, NSV admits an exact solution which has a significantly larger half life than for true fluid flow. Second, we observe in a channel flow test that NSV provi...
متن کاملLebesgue's dominated convergence theorem in Bishop's style
We present a constructive proof in Bishop’s style of Lebesgue’s dominated convergence theorem in the abstract setting of ordered uniform spaces. The proof generalises to this setting a classical proof in the framework of uniform lattices presented by Hans Weber in “Uniform Lattices II: Order Continuity and Exhaustivity”, in Annali di Matematica Pura ed Applicata (IV), Vol. CLXV (1993). 1. Both ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2017