A Recursive Formula for the Reliability of a r‐Uniform Complete Hypergraph and Its Applications
The reliability polynomial R(S, p) of a finite graph or hypergraph S = (V, E) gives the probability that the operational edges or hyperedges of S induce a connected spanning subgraph or subhypergraph, respectively, assuming that all (hyper)edges of S fail independently with an identical probability q = 1 − p.
Ke Zhang +4 more
wiley +1 more source
In turbulent flow, the normal procedure has been seeking means u¯ of the fluid velocity u rather than the velocity itself. In large eddy simulation, we use an averaging operator which allows for the separation of large‐ and small‐length scales in the flow field. The filtered field u¯ denotes the eddies of size O(δ) and larger.
Meryem Kaya
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Analysis of a mathematical model related to Czochralski crystal growth
This paper is devoted to the study of a stationary problem consisting of the Boussinesq approximation of the Navier–Stokes equations and two convection–diffusion equations for the temperature and concentration, respectively. The equations are considered in 3D and a velocity–pressure formulation of the Navier–Stokes equations is used.
Petr Knobloch, Lutz Tobiska
wiley +1 more source
Development of local, global, and trace estimates for the solutions of elliptic equations
Abstract and Applied Analysis, Volume 6, Issue 3, Page 131-150, 2001.
Moulay D. Tidriri
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Two-Level Finite Element Iterative Algorithm Based on Stabilized Method for the Stationary Incompressible Magnetohydrodynamics. [PDF]
Tang Q, Hou M, Xiao Y, Yin L.
europepmc +1 more source
Stochastic Navier-Stokes Equations on a Thin Spherical Domain. [PDF]
Brzeźniak Z, Dhariwal G, Le Gia QT.
europepmc +1 more source
COMPUTING ILL-POSED TIME-REVERSED 2D NAVIER-STOKES EQUATIONS, USING A STABILIZED EXPLICIT FINITE DIFFERENCE SCHEME MARCHING BACKWARD IN TIME. [PDF]
Carasso AS.
europepmc +1 more source
STABLE EXPLICIT STEPWISE MARCHING SCHEME IN ILL-POSED TIME-REVERSED 2D BURGERS' EQUATION. [PDF]
Carasso AS.
europepmc +1 more source
Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness. [PDF]
Abels H, Garcke H, Poiatti A.
europepmc +1 more source
On the Modeling of Nonlinear Wind-Induced Ice-Drift Ocean Currents at the North Pole. [PDF]
Puntini C.
europepmc +1 more source

