Navier-Stokes equation solutions

We study the stability of a flexible beam that is clamped at one end and free at the other; a mass is also attached to the free end of the beam. To stabilize this system we apply a boundary control force at the free end of the beam. We prove that the closed-loop system is well-posed and is exponentially stable. We the…

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• NECAT POLAT

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• SERKAN ÖZGEN

We consider a flexible spacecraft modelled as a rigid body rotating in inertial space; a light flexible beam is clamped to the rigid body at one end and is free at the other. The equations of motion are obtained by using free-body diagrams. It is shown that suitable boundary controls applied to the free end of the bea…

We consider a system described by the Euler-Bernoulli beam equation. For stabilization, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the controller is a marginally stable positive real function which may contain poles on the imaginary axis. We then give vario…

We consider the 2D Navier–Stokes–Voight equation in an unbounded strip-like domain. It is shown that the semigroup generated by this equation has a global attractor in weighted Sobolev spaces.

• MUSTAFA POLAT

We investigate the numerical approximation of (discontinuous) entropy solutions to nonlinear hyperbolic conservation laws posed on a Lorentzian manifold.Our main result establishes the convergence of monotone and first-order finite volume schemes for a large class of (space and time) triangulations.The proof relies on…

• BAVER OKUTMUŞTUR

We present some consequences of non-anomalous propagation requirements on various massless fields. Among the models of nonlinear electrodynamics we show that only the Maxwell and Born-Infeld models also obey duality invariance. Separately we show that, for actions depending only on the invariant, the permitted models…

• BAHTİYAR ÖZGÜR SARIOĞLU

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• EMRULLAH YAŞAR

The main aim of this paper is to study the dynamic transitions in flows described by the two-dimensional, barotropic vorticity equation in a periodic zonal channel. In [Z.-M. Chen et al., SIAM J. Appl. Math., 64 (2003), pp. 343--368], the existence of a Hopf bifurcation in this model as the Reynolds number crosses a c…

• MUSTAFA TAYLAN ŞENGÜL

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In this paper the change of the magnetohydrodynamic flow velocity of the infinite plate in the non stationary motion of the incompressible viscous liquid has been studied numerically. Outer magnetic field has been directed perpendicular to the plate and assumed moving with the plate. For the different dynamical motion…

• TAHMURAZ ABBASOV