Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity
Chunyan Zhao, Chengkui Zhong, Zhijun Tang
Abstract
<p style='text-indent:20px;'>In this paper, we prove the existence of the global attractor for the wave equation with nonlocal weak damping, nonlocal anti-damping and critical nonlinearity.</p>
Topics & Concepts
AttractorNonlinear systemPhysicsDamped waveWave equationDamping ratioMagnetic dampingMathematical analysisClassical mechanicsMathematicsQuantum mechanicsVibrationStability and Controllability of Differential EquationsAdvanced Mathematical Physics ProblemsNonlinear Differential Equations Analysis