Global well‐posedness and exponential stability results of a class of Bresse‐Timoshenko‐type systems with distributed delay term
Abdelbaki Choucha, Djamel Ouchenane, Khaled Zennir, Baowei Feng
Abstract
In this paper, we consider a Bresse‐Timoshenko‐type system with distributed delay term. Under suitable assumptions, we establish the global well‐posedness of the initial and boundary value problem by using the Faedo‐Galerkin approximations and some energy estimates. By using the energy method, we show two exponential stability results for the system with delay in vertical displacement and in angular rotation, respectively. This extends earlier results in the literature.
Topics & Concepts
MathematicsTerm (time)Exponential stabilityExponential functionClass (philosophy)Stability (learning theory)Mathematical analysisDisplacement (psychology)Galerkin methodControl theory (sociology)Boundary value problemBoundary (topology)Exponential growthRotation (mathematics)Type (biology)Energy (signal processing)Exponential decayEnergy methodApplied mathematicsGeometryNonlinear systemComputer sciencePhysicsStatisticsNuclear physicsPsychotherapistPsychologyEcologyArtificial intelligenceQuantum mechanicsControl (management)BiologyMachine learningStability and Controllability of Differential EquationsAdvanced Mathematical Physics ProblemsComputational Fluid Dynamics and Aerodynamics