Results 51 to 60 of about 1,232 (217)
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
Evaluating a double integral using Euler's method and Richardson extrapolation
Lietuvos Matematikos RinkinysWe transform a double integral into a second-order initial value problem, which we solve using Euler's method and Richardson extrapolation. For an example we consider, we achieve accuracy close to machine precision (~10-13).
Justin Steven Calder Prentice
doaj +3 more sources
Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
Three Spreadsheet Models Of A Simple Pendulum
Spreadsheets in Education, 2008 The paper gives three spreadsheet models of simple pendulum motion. In two of them, the graph of the pendulum angle is drawn upon the exact integral solution using numeric integration – the simpler model only uses spreadsheet functions, the general model
Jan Benacka
doaj +2 more sources
A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley +1 more source
Contributions to Plasma Physics, EarlyView.ABSTRACT The properties of plasmas in the low‐density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches. Recently, accurate path‐integral Monte Carlo (PIMC) simulations were performed for the hydrogen plasma at low densities by Filinov and Bonitz (Phys. Rev.
Gerd Röpke +3 more
wiley +1 more source
Buckling of a structure made of a new eco-composite material
Applied Computer ScienceThis paper reports the experimental results of a study investigating a new eco-composite material made from 100% recycled material. Tensile and density tests were conducted. A numerical model of a one-sided fixed beam was designed by the finite element
Jarosław GAWRYLUK +2 more
doaj +1 more source
Seismic analysis and design of tunnels within fault ground: A review
Deep Underground Science and Engineering, EarlyView.The research methods of seismic response of tunnels within fault ground, including field investigations, analytical solutions, physical experiments, and numerical simulations, and seismic countermeasures are discussed. The present study examines the shortcomings and limitations of the current research and design, and puts forward proposals for future ...
Xingda Wang +6 more
wiley +1 more source
THE ELASTIC BUCKLING BEHAVIOR OF (5056-H18)ALALLOY COLUMNS UNDER VARIABLE LOAD
Iraqi Journal for Mechanical and Materials Engineering, 2019 The research deals the evaluation of buckling behavior for 5056-H18 Al alloy columns under variable loads and studies the effect of initial deflection on the critical buckling load.
Ali Y Khenyab +2 more
doaj +1 more source
Deep Underground Science and Engineering, EarlyView.For the roof of coral reef limestone caverns, a novel tension‐shear composite failure mechanism was developed. The most critical tensile crack model was identified using a hybrid optimization algorithm, and the stability of the cavern roof was analyzed accordingly.
Dongsheng Xu, Chenxu Li, Chuantan Hou
wiley +1 more source