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Abstract: We study the nonlinear-damping continuation of singular solutions of the critical and supercritical NLS. Our simulations suggest that for generic initial conditions that lead to collapse in ...
We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly positive near the o...
The dimensionality of turbulence in uid layers determines their properties. We study electro- magnetically driven ows in nite depth uid layers and show that eddy viscosity, which appears as a res...
In this work passive electric damping of structural vibrations by distributed piezoelectric transducers and electric networks is analyzed. Different distributed electric controllers are examined as fi...
The symmetry classification of the two dimensional Burgers equation with variable coefficient is considered. Symmetry algebra is found and a classification of its subalgebras, up to conjugacy, is obta...
On nonoscillation of nonhomogenous third order differential equations with damping terms.
We investigate the global existence of both strong and weak solutions for a linear coupled system with homogeneous feedback boundary conditions in bounded-open domain Ω in Rn with n ∈ N. We also prove...
In this paper, we investigate the global existence and long time behavior of smooth solutions to the compressible Euler equations with damping in several space variables. Under suitable assumptions, w...
In this paper, we consider the global existence and the asymptotic behavior of solutions to the Cauchy problem for the following nonlinear evolution equations with ellipticity and dissipative effects:...
Applying Hopf bifurcation theory and qualitative theory, we show that the general cubic Lienard equations with quadratic damping have at most three limit cycles. This implies that the guess in which t...
Oscillation criteria are given for second order nonlinear differential equations with damping of the form (a(t) y (x ) \dot x)\dot{}+ p(t) \dot x + q (t) f (x ) = 0,\quad t\geq t0, where p and q are a...

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