Global existence and general decay for a nonlinear wave equation with acoustic and fractional boundary conditions coupling by source and delay terms
Abdelbaki Choucha, Salah Boulaaras, Behzad Djafari-Rouhani, Rafik Guefaifia, Asma Alharbi
Abstract
This work deal with global existence and general decay of solutions of a wave equation with acoustic and fractional boundary conditions coupling by source and delay terms. Under some hypotheses, we study the global existence of the solution and by suitable Lyapunov function the general decay result is proved.
Topics & Concepts
Coupling (piping)Nonlinear systemBoundary (topology)Work (physics)PhysicsMathematical analysisBoundary value problemWave equationAcoustic wave equationMathematicsAcoustic waveAcousticsQuantum mechanicsMechanical engineeringEngineeringStability and Controllability of Differential EquationsAdvanced Mathematical Physics ProblemsNonlinear Differential Equations Analysis