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Global Stabilization of BBM–Burgers’ Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis
In this article, global stabilization results for the Benjamin–Bona–Mahony–Burgers’ (BBM–B) type equations are obtained using nonlinear Neumann boundary feedback control laws. Based on the $$C^0$$ -conforming finite element method, global stabilization results for the semidiscrete solution are also discussed. Optimal error estimates in $$L^\infty (L^2)$$ , $$L^\infty (H^1)$$ and $$L^\infty …