This paper deals with the initial boundary value problem of a class fourth order wave equations nonlinear strain and linear weak damping terms. By establishing invariance unstable set delicate auxiliary function, we give sufficient condition such that solution blows up in finite time at high energy level.

Weak axial variations in magnetic or electric confinement fields in pure electron plasmas cause slow electrons to be trapped locally, and collisional diffusion across the trapping separatrix then causes surprisingly large trapped-particle-mediated (TPM) damping and transport effects. Here we characterize TPM damping of m theta not equal to 0, m(z) = +/-1 Trivelpiece-Gould plasma modes in large-...

In this paper, we study analytically and numerically the singular limits of the nonlinear Klein–Gordon–Schrödinger (KGS) equations in Rd (d = 1, 2, 3) both with and without a damping term to the nonlinear Schrödinger–Yukawa (SY) equations. By using the two-scale matched asymptotic expansion, formal limits of the solution of the KGS equations to the solution of the SY equations are derived with ...

In the current study the influence of weight percentage of HIPS, weight percentage of CNT and hardener content on damping 1st and damping 2nd properties of epoxy/HIPS/CNT hybrid composite wase valuated. Mixture design methodology was employed to generate mathematical models for predicting damping 1st and damping 2nd behaviors of new mentioned hybrid nanocomposite as function of physical factors...

In this paper a method is presented to identify the parameters of a structure exhibiting weak nonlinear behavior using vibration test data. The identification approach is based on an extension of a linear frequency domain method for the direct identification of incomplete system matrices to the nonlinear case. The basic identification equations are extended by additional stiffness and damping t...

The global-in-time existence of weak solutions to the barotropic compressible quantum Navier-Stokes equations with damping is proved for large data in three dimensional space. The model consists of the compressible Navier-Stokes equations with degenerate viscosity, and a nonlinear third-order differential operator, with the quantum Bohm potential, and the damping terms. The global weak solution...

We determine the linear viscoelastic response of jammed packings of athermal repulsive viscous spheres, a model for emulsions, wet foams, and soft colloidal suspensions. We numerically measure the complex shear modulus, a fundamental characterization of the response, and demonstrate that low frequency response displays dynamic critical scaling near unjamming. Viscoelastic shear response is gove...

Current-driven magnetization dynamics in ferromagnetic metals is studied in a self-consistent adiabatic local-density approximation in the presence of spin-conserving and spin-dephasing impurity scattering. Based on a quantum kinetic equation, we derive Gilbert damping and spin-transfer torques entering the LandauLifshitz equation to linear order in frequency and wave vector. Gilbert damping an...