When a viscous fluid spreads underneath deformable surface skin or crust, the peeling dynamics at front can control rate of advance rather than bulk self-similar flow. For an elastic skin, this results in quasi-static interior blister held constant pressure that is matched to narrow region behind front. In paper, analogous problem considered for deforms either viscously plastically, both. parti...

In this paper, a SDOF system with nonlinear viscous friction under harmonic excitation is studied. A nonlinear viscous friction model is built as an exponential expansion of the relative slip velocity. According to the adaptive control theory, an adaptive controller for the friction compensation of the SDOF system with nonlinear viscous friction is put forward by using the model-based parameter...

We prove nonlinear stability of viscous shock wave of arbitrary amplitudes to a one-dimensional compressible isentropic Navier-Stokes equations with density dependent viscosity. Under the assumption that the viscous coefficient is given as a power function of density, any viscous shock wave is shown to be nonlinear stable for small initial perturbations with integral zero. In contrast to previo...

In this article, the vibrational behavior of a spinning cylindrical thick shell carrying spring- mass systems and conveying viscos fluid flow under various temperature distributions is investigated. This structure rotates about axial direction and the formulations include the coriolis and centrifugal effects. In addition, this system is conveying viscous fluid, and the related force is calculat...

Space-time evolution and subsequent particle production from minimally viscous (η/s=0.08) QGP fluid is studied using the 2nd order Israel-Stewart’s theory of dissipative relativistic fluid. Compared to ideal fluid, energy density or temperature evolves slowly in viscous dynamics. Particle yield at high pT is increased. Elliptic flow on the other hand decreases in viscous dynamics. Minimally vis...

Using spatial dynamics, we prove a Hopf bifurcation theorem for viscous Lax shocks in viscous conservation laws. The bifurcating viscous shocks are unique (up to time and space translation), exponentially localized in space, periodic in time, and their speed satisfies the Rankine–Hugoniot condition. We also prove an ”exchange of spectral stability” result for superand subcritical bifurcations, ...