Strongly nonlinear phononic crystals were assembled from stainless steel spheres. Single solitary waves and splitting of an initial pulse into a train of solitary waves were investigated in different viscous media using motor oil and non-aqueous glycerol to introduce a controlled viscous dissipation. Experimental results indicate that the presence of a viscous fluid dramatically altered the spl...

We consider degenerate viscous shock profiles arising in systems of two regularized conservation laws, where degeneracy here describes viscous shock profiles for which the asymptotic endstates are sonic to the associated hyperbolic system (the shock speed is equal to one of the characteristic speeds). Proceeding with pointwise estimates on the Green’s function for the linear system of equations...

In this article, we consider the 3D viscous primitive equations (PEs for brevity) of the ocean under two physically relevant boundary conditions for the H and H smooth initial data, respectively. The H regularity result of the solution for the viscous PEs of the ocean has been unknown since the work by Cao and Titi [3], and Kobelkov [26]. In this article we provide the global H-regularity resul...

A. Preface and introductory remarks B. The equation of motion I. Kinematics and dynamics of fluid motion II. Energy and momentum transfer III. Transformation of coordinates IV. Variational principles C. Incompressible and barotropic perfect fluids I.Genera1 princip1es II.Irrotationa1 motion III.Rotationa1 motion D. Thermodynamics and the energy equation I. Thermodynamics of simple media II. The...

This paper describes a numerical scheme for approximate the viscous Saint-Venant equations. This scheme is called staggered grid scheme which is a robust, simple and strightforward scheme for viscous SaintVenant equations. Some numerical simulations have been elaborated to validate the accuracy of the scheme, such as the calculation of the convergence rate L1-norm error of the scheme, the compa...

This paper presents a method for estimating Coulomb and viscous friction coefficients from responses of a harmonically excited dual-damped oscillator with linear stiffness. The identification method is based on existing analytical solutions of non-sticking responses excited near resonance. The method is applicable if the damping ratio of viscous component can be considered small. The Coulomb an...

Numerical manifold method was applied to directly solve Navier-Stokes N-S equations for incompressible viscous flow in this paper, and numerical manifold schemes for N-S equations coupled velocity and pressure were derived based on Galerkin weighted residuals method as well. Mixed cover with linear polynomial function for velocity and constant function for pressure was employed in finite elemen...

Strongly-coupled dusty plasmas often exhibit liquid behavior. Liquids behave as a viscous continuum in the hydrodynamic regime. However, in the kinetic regime of a liquid, viscous and elastic effects occur at the same time [1], i.e., the liquid is said to be viscoelastic. To characterize the viscoelasticity of a liquid, the complex viscosity, () = () i(), is often used, where the real a...

We present a simple and linear 3D cellular automata approach for animating the behaviors of viscous flow volumes in virtual environments. An accurate modeling of fluid flow usually requires complicated physical simulations. In this paper, we concentrate on the behaviors of highly viscous fluids, such as wax, lava, plastic, metal, chocolate, etc. We animate the smooth behaviors of viscous fluid ...

In this letter, a coupled system of viscous Burgers’ equations with zero Dirichlet boundary conditions and appropriate initial data is considered. For the well-known single viscous Burgers’ equation with zero Dirichlet boundary conditions, the zero equilibrium is the unique global exponential point attractor. A similar property is shown for the coupled Burgers’ equations, i.e., trajectories sta...