Viscous scalar conservation law with nonlinear flux feedback and global attractors

DOI10.1006/jmaa.1998.6016zbMath0919.35061OpenAlexW2017115981MaRDI QIDQ1273700

K. Appert

Publication date: 23 March 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6016

zbMATH Keywords

absorbing setsnonlinear boundary feedbacknonlinear semigroup theory

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Attractors and repellers of smooth dynamical systems and their topological structure (37C70)

Related Items (8)

The impact of finite precision arithmetic and sensitivity on the numerical solution of partial differential equations ⋮ Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law ⋮ Boundary control of a coupled Burgers' PDE‐ODE system ⋮ Global stabilization of two dimensional viscous Burgers' equation by nonlinear Neumann boundary feedback control and its finite element analysis ⋮ Adaptive control of Burgers' equation with unknown viscosity ⋮ On global stabilization of Burgers' equation by boundary control. ⋮ Global stabilization of BBM-Burgers' type equations by nonlinear boundary feedback control laws: theory and finite element error analysis ⋮ Backstepping boundary control of Burgers' equation with actuator dynamics

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